Class Notes of Ratio Proportion and Partnership by Trilochan Puhan for SSC and Bank Exam.
Understanding and applying ratio, proportion and partnership concepts is crucial for scoring in quantitative aptitude asked in SSC, Bank, Railway exams. In this guide, we’ll break down the fundamentals of ratio and proportion, providing you with a solid foundation to tackle related questions in your upcoming SSC CGL examination.
1. The compound ratio of the inverse ratio of the inverse ratios of the ratios x : yz, y : xz, z : xy is:
(a) 1 : xyz
(b) xyz : 1
(c) 1 : 1
(d) x : yx
2. If x – y : y – z : z – k = 2 : 3 : 5, then what is the value of z : (x + k)?
(a) 1 : 2
(b) 2 : 1
(c) 1 : 3
(d) 1 : 4
3. If (a – b + c) : (b – c + 2d) : (2a + c -d) = 2 : 3 : 5, then (3a + 3c -2d) : d is:
(a) 7 : 1
(b) 7 : 3
(c) 4 : 1
(d) 5 : 3
4. If b / (a – c) = (a + b) / c = a / b, then a : b : c = ?
(a) 3 : 2 : 4
(b) 4 : 2 : 3
(c) 4 : 3 : 2
(d) 2 : 3 : 4
5. If a / (b + c) = b / (c + a) = c / (a + b), then which one of the following statements is correct?
(a) Each fraction is equal to 1 or -1
(b) Each fraction is equal to 1/2 or 1
(c) Each fraction is equal to 1/2 or -1
(d) Each fraction is equal to ½ only
6. a : b = c : d = e : f = 2, then
(i) (pa + qc + re) / (pb + qd + rf) = ?
(ii) (p^2 a + q^2 c + r^2 e) / (p^2 b + q^2 d + r^2 f)= ?
(iii) (p a^2 + q c^2 + r e^2) / (p b^2 + q d^2 + r f^2)= ?
7. If a/b = c/d = e/f , then each of them is equal to:
(a) (a + 3c -5e) / (b + 3d + 5f)
(b) (a – 3c -5e) / (b – 3d – 5f)
(c) (a – 3c +5e) / (b – 3d – 5f)
(d) (a + 3c + 5e) / (b + d + f)
8. If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and a + b + c = 14, then the value of ‘c’ is:
(a) 6
(b) 7
(c) 8
(d) 14
9. If (a+b) : (b+c) : (c+a) = 7 : 6 : 5 and a + b + c = 27, then what will be the value of 1/x : 1/y : 1/z?
(a) 3:6:4
(b) 3:2:4
(c) 4:3:6
(d) 3:4:2
10. If a : b = 5 : 3, then (8a – 5b) : (8a + 5b) is equal to:
(a) 3 : 13
(b) 2 : 5
(c) 3 : 11
(d) 5 : 11
11. If (5a – 3b) : (4a – 2b) = 2 : 3, then a : b is equal to:
(a) 3 : 4
(b) 2 : 3
(c) 5 : 8
(d) 5 : 7
12. If (5x+ 2y) : (10x+ 3y) = 5 : 9, then (2x^2+ 3x^2) : (4x^2 + 9x^2) = ?
(a) 31 : 87
(b) 16 : 47
(c) 1 : 3
(d) 10 : 27
13. Which of the following does not represent a correct proportion?
(a) 12 : 9 :: 16 : 12
(b) 6 : 8 :: 12 : 16
(c) 8 : 12 :: 10 : 16
(d) 6 : 10 :: 9 : 15
14. If 8, x and 50 are in continued proportion, then the value of x is:
(a) 40
(b) 20
(c) 10
(d) 5
15. If 16, 24, 36, 54 and x are in continued proportion, then the value of is:
(a) 81
(b) 72
(c) 108
(d) 90
16. If the mean between 39 and 156 is x and the third proportional of 24 and 36 is y, then find 6x : 13y?
(a) 4 : 9
(b) 3 : 2
(c) 2 : 3
(d) 3 : 4
17. What is the fourth proportional to 189, 273 and 153?
(a) 117
(b) 299
(c) 221
(d) 187
18. When x is subtracted from each of 19, 28, 55 and 91, the number so obtained in this order are in proportion. What is the value of x?
(a) 5
(b) 8
(c) 7
(d) 9
19. When x is added to each of the numbers 2, 3, 30 and 35, then the numbers obtained in this order, are in proportion. What is the mean proportional between (x + 7) and (x – 2)?
(a) 7
(b) 6
(c) 5
(d) 4
20. When x is subtracted from each of the numbers 58, 75, 79 and 103, then the resulting numbers, in the given order are in proportion. What is the mean proportional between (x+2) and (3x-5)?
(a) 12
(b) 15
(c) 18
(d) 10
Type – B
21. A and B have their monthly incomes in the ratio 8 : 5 while their monthly expenditures are in the ratio 5 : 3, if they have saved Rs. 12,000 and Rs. 10,000 monthly respectively, then the difference in their monthly incomes is:
(a) Rs. 42,000
(b) Rs. 52,000
(c) Rs. 46,000
(d) Rs. 44,000
22. Before a battle there were the ratio of captains to soldiers was 2:7. During the war 25 captains and 100 soldiers were martyred. The new ratio of captains to soldiers became 3:10. What is the number of soldiers after the war?
(a) 250
(b) 200
(c) 150
(d) 100
23. The ratio of boys and girls in a group is 7 : 6, if 15 more boys join the group and 6 girls leave the group, then the ratio of boys to girls become 10 : 7. What is the total number of boys and girls initially in the group?
(a) 208
(b) 195
(c) 182
(d) 169
24. In an office of 1200 employees, the ratio of urban to rural members of staff is 8:7. After joining of some new employees, out of which 20 are rural, the ratio becomes 5 : 4. The number of new urban employees is:
(a) 100
(b) 85
(c) 76
(d) 108
25. In a school there were 1554 students and the ratio of the number of the boys and girls was 4 : 3. After few days, 30 girls joined the school but few boys left; as a result the ratio of the boys and girls became 7 : 6. The number of boys who left the school is:
(a) 76
(b) 84
(c) 86
(d) 74
26. In an MBA selection process, the ratio of selected to unselected was 11:2 If 40 less had applied and 20 less selected, the ratio of selected to unselected would have been 10:1. How many candidates had applied for the process?
(a) 220
(b) 260
(c) 300
(d) 340
27. If the ratio of selected to unselected candidates was 14 : 25. If 35 less had applied and 10 less selected, the ratio of selected to unselected would have been 3 : 5. What is the Number of candidates who had applied for a job?
(a) 200
(b) 175
(c) 275
(d) 195
28. When 5 children from class A join class B, the number of children in both classes is the same. If 25 children from B, join A, then the number of children in A becomes double the number of children in B. The ratio of the number of children in A to those in B is:
(a) 9 : 8
(b) 19 : 17
(c) 18 : 17
(d) 19 : 18
29. There are officer and Assistant in an office. If 5 Assistant went on leave then every Assistant has two officers, after that 45 officers went on leave now every officer has 2 Assistants. Then find out how many Assistant were there initially.
(a) 45
(b) 40
(c) 35
(d) 30
30. The ratio of number of balls in bags and
is 3 : 4. 8 balls are taken from bag
and are dropped in bag
. Number of balls are equal in each bag now. Find the number of balls in each bag now.
(a) 56
(b) 64
(c) 48
(d) 72
31. Raju and Lalitha originally had marbles in the ratio 4:9. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became 5:6. What fraction of her original number of marbles was given by Lalitha to Raju?
(a) 1/4
(b) 7/33
(c) 1/5
(d) 6/19
32. In an examination ratio between pass to fail students is 7 : 5. If 24 more students fail in the examination, ratio become 1 : 2. Find the number of students in the examination.
(a) 120
(b) 108
(c) 96
(d) 84
Type – C
33. If two numbers are in the ratio 3 : 5 and the ratio becomes 5 : 7 when 8 is added to both the numbers, then sum of the two numbers is:
(a) 32
(b) 40
(c) 24
(d) 48
34. Two numbers are in the ratio 7: 5. On diminishing each of them by 40, the ratio becomes 27 : 17. The difference between the numbers is :
(a) 75
(b) 40
(c) 25
(d) 50
35. The proportion of the number of students in three classes is 1: 2: 3. If 20 students are included in each class, then the proportion becomes 3: 5 : 7. What was initially the total number of students in the three classes?
(a) 200
(b) 280
(c) 220
(d) 240
36. Income of and
are in the ratio 4 : 3. Their expenditures are in the ratio 12 : 7. Both save Rs. 3200 at the end of the month, then the income of
is:
(a) Rs. 4000
(b) Rs. 8000
(c) Rs. 6000
(d) Rs. 2000
37. The ratio between the present ages of A and B is 3: 5. If the ratio of their ages five years hence becomes 13:20, then the present age of B is:
(a) 32 years
(b) 35 years
(c) 30 years
(d) 40 years
38. The ratio between the present ages of A and B is 8 : 15. Eight years ago, the ratio of their ages was 6 : 13. What will be the ratio of ages of A and B after 8 years from now?
(a) 5 : 8
(b) 9 : 14
(c) 10 : 17
(d) 5 : 9
39. One year ago, the ratio of the age (in years) of A to that of B was 4 : 3. The ratio of their respective ages, 3 years from now, will be 6 : 5. What will be the ratio of respective ages of A and B, 9 years from now?
(a) 7 : 6
(b) 10 : 9
(c) 9 : 8
(d) 8 : 7
40. The ratio of ages of the father and mother was 11:10 when their son was born. The ratio of ages of the father and mother will be 19:18 when the son will be twice his present age. What is the ratio of present ages of father and mother?
(a) 15 : 14
(b) 14 : 13
(c) 16 : 15
(d) 17 : 16
41. The ratio of man’s age to his father’s age is 4:5, and the ratio of his age to his son’s age is 6:1. Four years ago these ratios were 11:14 and 11:1, respectively. The ratio of the age of the grandfather to that of the grandson 12 years from now will be:
(a) 12 : 5
(b) 14 : 3
(c) 18 : 5
(d) 18 : 7
Type – D
42. In a 56 liters mixture of milk and water, the ratio of milk to water is 5: 2. In order to make the ratio of milk to water 7: 2, some quantity of milk is to be added to the mixture. The quantity of the milk present in the new mixture will be:
(a) 40 liters
(b) 16 liters
(c) 48 liters
(d) 56 liters
43. In a mixture of 126 litre the ratio of water and milk is 2: 5 respectively. How much water (in litre) must be added to make the ratio of water and milk as 2: 3 respectively?
(a) 16
(b) 24
(c) 18
(d) 20
44. In a mixture, the ratio of milk and water in a pot is 8 : 3. If 6litre water is added, then the ratio becomes 2 : 1. Find the initial quantity of milk.
(a) 48 liters
(b) 40 liters
(c) 32 liters
(d) 24 liters
45. 200 litres of alcohol solution has 30% alcohol in it. How much water should be subtracted to make it 50% in the solution?
(a) 40
(b) 60
(c) 80
(d) 50
46. A 600 grams of sugar solution contains 50% sugar. How much sugar (in grams) must be added so that the new mixture contains 60% sugar?
(a) 120
(b) 150
(c) 175
(d) 200
47. Fresh fruit contains 80% of water and dry fruit contains 15% of water. How much dry fruit can be obtained out of 68 kg fresh fruit?
(a) 12
(b) 15
(c) 16
(d) 18
Type – E
48. In a colored picture of Red and Yellow color, Red and yellow color is used in the ratio of 4 : 3 respectively. If In the upper half, Red and Yellow is 2 : 3, then in the lower half, Red : Yellow is:
(a) 1 : 1
(b) 2 : 1
(c) 26 : 9
(d) 9 : 26
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
49. On the whole surface of earth, the ratio of land water in northern hemisphere is 7 : 9. Then what is the ratio of land and water in the southern hemisphere?
(a) 6 : 7
(b) 5 : 11
(c) 9 : 2
(d) 3 : 2
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
50. Three bottles of equal capacity containing mixture of milk and water in ratio 2: 5, 3: 4 and 4: 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?
(a) 73: 106
(b) 73: 116
(c) 73: 113
(d) 73: 189
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
51.Three bottles of equal capacity have mixture of milk and water in ratio 5: 7, 7: 9 and 2: 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?
(a) 49.6
(b) 52.3
(c) 51.2
(d) 50.7
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
52. The ratio of the monthly incomes of X and Y is 5:4 and that of their monthly expenditures is 9:7. If the income of Y is equal to the expenditure of X, then what is the ratio of the savings of X and Y?
(a) 6 : 7
(b) 8 : 9
(c) 7 : 6
(d) 9 : 8
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
53. The monthly incomes of A and B are in the ratio 3: 5 and the ratio of their savings is 2: 3. If the income of B is equal to three times the savings of A, then what is the ratio of the expenditures of A and B?
(a) 5 : 8
(b) 8 : 15
(c) 7 : 11
(d) 3 : 7
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
54. The ratio of income of A, B and C is 3 : 4 : 5 and there expenses are in the ratio 4 : 5 : 6. If savings of A is 1 / 4 of its income. Then find the ratio of their savings.
(a) 12 : 19 : 26
(b) 13 : 20 : 27
(c) 19 : 12 : 26
(d) 14 : 21 : 29
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
55. One year ago, the ratio between Laxman’s and Gopal’s salary was 3 : 4. The individual ratios between their last year’s salary and this year’s salaries are 4 : 5 and 2 : 3 respectively. At present the total of their salary is Rs. 4160. The present salary of Laxman is:
(a) Rs. 1600
(b) Rs. 2560
(c) Rs. 1040
(d) Rs. 3120
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
56. Last year, the ratio of the incomes of A and B was 4:3. The ratios of their individuals incomes of last year and present year are 3:4 and 5:6, respectively. If their total income for the present year is Rs 8.04 lakhs, then the income of B for the last year is?
(a) Rs. 2.7 lakh
(b) Rs. 3.6 lakh
(c) Rs.2.4 lakh
(d) Rs.2.8 lakh
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
57. The ratio A , B and C of last year income is 3 : 4 : 5. The ratio of A, B and C last year and current year is 4 : 5, 2 : 3, 3 : 4 respectively. If sum of income of A, B, and C is Rs. 78800, then find out current income of A, B, and C separately.
(a) 18000,28800,32000
(b) 18000,28000,32000
(c) 18800,28000,32000
(d) 18000,28000,32000
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
58. The wages of three labourers A, B and C are in the ratio 10:12:15. A’s wage is increased in the ratio 5:6, B’s wage is increased in the ratio 3:4 and C’s wage is increased in the ratio 3:5. The new ratio of the wages of A:B:C is:
(a) 15 : 18 : 20
(b) 12 : 16 : 25
(c) 6 : 7 : 9
(d) 8 : 6 : 5
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
59. The prime cost of an article is thrice of raw material. If the cost of raw material is increased in the ratio 5 : 12 and cost of manufacturing expenses is increased in the ratio 4 : 5. If the initial cost is ` 6 then find the final cost.
(a) Rs. 9.80
(b) Rs. 4.8
(c) Rs. 5
(d) Rs. 9.6
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
60. Between two railway station the ratio of fare of 1st and 2nd class was 10 : 7 and later on the fare is increased in the ratio 3 : 4 and 5 : 9 respectively. If the ratio of no. of passengers of both tier is 3 : 5 and total fare is ` 30900 then find the total fare of 2nd tier.
(a) 18900
(b) 19400
(c) 20200
(d) 17300
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
61. Two candles of the same height are lighten at the same time. The first is consumed in 8 hours and the second in 6 hours. Assuming that each candle burns at a constant rate, in how many hours after being lighten, the ratio between the first and second candle becomes 2 : 1.
(a) 2 hours 24 minutes
(b) 4 hours
(c) 1 hour 12 minutes
(d) 4 hour 48 minutes
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
62. In an office, 5/8 of the total number of employees are males and the rest are females. 2/5 of the number of males are non-technical workers while 2/3 of the number of females are technical workers. What fraction of the total number of employees are technical workers?
(a) 5/8
(b) 2/5
(c) 1/2
(d) 3/8
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
63. Two-third of the number of employees of a company are males and the rest are females. If 3/8 of the male employees and 2/5 of the female employees are temporary employees and the total number of permanent employees is 740, then 7/15 of the total number of employees exceeds the number of temporary female employees by?
(a) 400
(b) 340
(c) 308
(d) 320
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
64. In a school, 4/9 of the number of students are girls and the rest are boys, 3/5 of the number of boys are below 12 years of age and 5/12 of the number of girls are 12 years or above 12 years of age? If the number of students below 12 years of age is 480, then 5/18 of the total number of students in the school will be equal to?
(a) 270
(b) 315
(c) 225
(d) 240
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
Type – F
65. Three numbers are in the ratio of 3 : 2 : 5 and sum of their squares is 1862. The smallest of these numbers is:
(a) 24
(b) 21
(c) 14
(d) 35
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
66. If 12A = 16B = 15C; find A : B : C.
(a) 12:16:15
(b) 15:16:12
(c) 20:15:16
(d) 16:15:20
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
67. If 2/3 of A = 75% of B = 0.6 of C, then A : B : C is:
(a) 2 : 3 : 3
(b) 3 : 4 : 5
(c) 4 : 5 : 6
(d) 9 : 8 : 10
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
68. If A : B = 2: 5, B: C = 4:3 and C: D = 2: 1, then what is value of A : C : D?
(a) 6 : 5 : 2
(b) 7: 20 : 10
(c) 8 : 30 : 15
(d) 16 : 30 : 15
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
69. A : B : C = 2 : 3 : 4, then A/B : B/C : C/A is equal to:
(a) 8 : 9 : 16
(b) 8 : 9 : 12
(c) 8 : 9 : 24
(d) 4 : 9 : 12
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
70. A sum is divided among A, B, C and D such that the ratio of the shares of A and B is 2: 3, that of B and C is 1: 2 and that of C and D is 3:4. If the difference between the shares of A and D is Rs.648, then find the sum of their shares?
(a) Rs.2,052
(b) Rs.2,160
(c) Rs.2,484
(d) Rs.1,944
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
71. Rs. 60500 is divided among A, B and C such that A receives 2/9 as B and C together and B receives 3/7 of as much as A and C together. What is the share of C (in Rs.)?
(a) Rs. 29850
(b) Rs. 30120
(c) Rs. 31350
(d) Rs. 37250
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
72. Rs. 730 were divided among A, B, C in such a way that if A gets Rs.3 then B gets Rs.4 and if B gets Rs.3.50 then C get Rs.3. The share of B exceeds that of C by
(a) Rs. 30
(b) Rs. 40
(c) Rs. 70
(d) Rs. 210
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
73. A’s income is Rs. 140 more than B’s income and C’s income is Rs.80 more than D’s. If the ratio of A’s and C’s income is 2 : 3 and the ratio of B’s and D’s income is 1 : 2, then the incomes of A, B, C and D are respectively.
(a) Rs. 260, Rs. 120, Rs. 320 and Rs. 240
(b) Rs. 300, Rs. 160, Rs. 600 and Rs. 520
(c) Rs. 400, Rs. 260, Rs. 600 and Rs. 520
(d) Rs. 320, Rs. 180, Rs. 480 and Rs. 360
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
74. By mistake instead of dividing Rs. 702, among Ram, Ramesh and Naresh in the ratio :
:
, it was divided in the ratio of 3 : 4 : 6. Who gained the most and by how much?
(a) Ram ₹158
(b) Ramesh ₹158
(c) Naresh ₹168
(d) Ram ₹168
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
75. A sum of Rs. 76 is divided among A, B and C in such a way that A gets Rs. 7 more than what B geys and B gets Rs. 6 more than what C gets. The ratio of their share is:
(a) 19 : 24 : 33
(b) 32 : 25 : 19
(c) 32 : 24 : 20
(d) 19 : 25 : 33
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
76. A sum of Rs. 15525 is divided among Sunil, Anil and Jamil such that if Rs.22, Rs.35 and Rs.48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7 : 10 : 13. What would have been the ratio of their sums if Rs. 16, Rs. 77, Rs.37 respectively were added to their original shares?
(a) 9 : 13 : 17
(b) 18 : 26 : 25
(c) 36 : 52 : 35
(d) None of these
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
77. The sum of Rs. 500 is divided among A, B and C such that Rs. 16 is more than 2/5 of A’s share, Rs. 70 is less than 3/4 of B’s share and Rs. 4 is less than 3/5 of C’s share they are equal. Then what are the share of A, B, C.
(a) 160, 200, 140
(b) 150, 200, 150
(c) 140, 190, 170
(d) 100, 150, 250
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
78. The sum of Rs. 600 is divided in A, B and C such that Rs. 40 is more than 2/5 of A’s, Rs. 20 is more than 2/7 of B’s and Rs. 10 is more than 9/17 of C’s share, they are equal. Then what is the share of A, B, C respectively.
(a) Rs.150
(b) Rs.170
(c) Rs.280
(d) Rs.140
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
Type – G
79. A is chasing B in the same interval of time. A jumps 8 times, while B jumps 6 times. But the distance covered by A in 7 jumps is the same as that of B in 5 jumps. The ratio between the speeds of A and B is ________.
(a) 32 : 24
(b) 30 : 56
(c) 20 : 21
(d) 28 : 36
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
80. A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps and 5 steps of the policeman are equal to 7 steps of the thief. The ratio of speeds of the policeman and the thief is:
(a) 25 : 28
(b) 25 : 26
(c) 28 : 25
(d) 56 : 25
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
81. 94 is divided into two parts in such a way that the fifth part of first and the eighth part of second are in the ratio 3 : 4. What will be the value of first part?
(a) 30
(b) 36
(c) 40
(d) 28
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
82. The entry ticket at a fun park was increased in the ratio 7 : 9, due to which footfalls fell in the ratio 13 : 11. What is the new daily collection (in Rs), if the daily collection before the price hike was Rs 2,27,500?
(a) 237500
(b) 247500
(c) 232500
(d) 242500
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
83. Men, women and boys are working in a factory in the proportion 8 : 5 : 1 and the wages of a man, a woman and a boy are in the ratio 5 : 2 : 3. When 20 women workers are employed, the total daily wages of all, amount to Rs. 318. Find wages of a man?
(a) Rs. 6
(b) Rs. 8
(c) Rs. 7.50
(d) Rs. 9
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
84. A sum of 430 has been distributed among 45 people consisting of men, women and children. The total amount given to men, women and children are in the ratio 12 : 15 : 16. But, the amounts received by each man, woman and child are in the ratio 6 : 5 : 4. Find, what each man, woman and child receives (in Rs.)
(a) 12, 10, 8
(b) 18, 15, 12
(c) 24, 20, 16
(d) 30, 25, 20
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
85. A box contains 1-rupee, 50-paise and 25-paise coins in the ratio 8 : 5 : 3. If the total amount of money in the box is Rs. 112.50, the number of 50-paise coins is:
(a) 60
(b) 50
(c) 40
(d) 25
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
86. A purse has Rs 34.5 in the form of 1 rupee, 50-paise and 10-paise coins in the ratio of 6:9:10. Find the number of 10-paise coins.
(a) 10
(b) 30
(c) 20
(d) 40
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
87. A box contains 280 coins of one rupee, 50-paise and 25-paise. The value of each kind of the coins are in the ratio of 8 : 4 : 3. Then the number of 50-paise coins is:
(a) 70
(b) 60
(c) 80
(d) 90
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
88. There are 480 coins of half rupees, quarter rupees and 10 paise coins and their values are proportional to 5 : 3 : 1. The number of coins in each case are
(a) 100, 200, 180
(b) 50, 30, 400
(c) 150, 180, 150
(d) 300, 90, 90
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
89. A man leaves Rs.8600 to be divided among 5 sons, 4 daughters and 2 nephew, if each daughter receives 4 times as much as each nephew and each son receives 5 times as much as each nephew, how much does each daughter receive?
(a) Rs. 100
(b) Rs. 600
(c) Rs. 800
(d) Rs. 1000
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
90. A, B and C spend 80%, 85% and 75% of their incomes, respectively. If their savings are in the ratio 8 : 9 : 20 and the difference between the incomes of A and C is Rs.18,000, then the income of B is?
(a) Rs.24,000
(b) Rs.27,000
(c) Rs.30,000
(d) Rs.36,000
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
91. A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a pair of black socks is double that of a brown pair. While preparing the bill the clock interchanged the number of black and brown pairs by mistake which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was:
(a) 2 : 1
(b) 1 : 4
(c) 1 : 2
(d) 4 : 1
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
Variation
92. ‘p’ varies inversely as the square of q. When q = 2.4, p = 1.5. When p = 6, then the value of q is?
(a) 2.4
(b) 1.2
(c) 1.5
(d) 1.8
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
93. X varies inversely as and directly as W. When X = 8, W=5, then Y = 20.25. When X = 18, W = 3, then what is the value of Y?
(a) 1.44
(b) 3.24
(c) 1.96
(d) 2.56
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
94. The cost of a piece of diamond varies with the square of its weight. A diamond of Rs.6,084 value is cut into 3 pieces whose weights are in the ratio 3 : 2 : 1. Find the loss involved in the cutting.
(a) Rs.3,768
(b) Rs.3,718
(c) Rs.3,168
(d) Rs.3,518
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
95. Price of a diamond is directly proportional to square of its weight. A man broke the diamond accidently in three pieces in the ratio of 3 : 5 : 7 and thus loses Rs 42600. What was the original price (in Rs) of the diamond?
(a) 11786
(b) 60000
(c) 67500
(d) 75000
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
96. The Howrah – Puri express can move at 45 km/hr without its rake and the speed is diminished by a constant that varies as the square root of the number of wagons attached. If it is known that with 9 wagons, the speed is 30 km/hr, what is the greatest number of wagon with which the train can just move?
(a) 63
(b) 64
(c) 80
(d) 81
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
97. By an engine the consumption of coal is directly proportional to the square of its velocity. When velocity is 50 mile/hour then consumption is 100 kg. If cost of coal is 25paise /kg. and expenditure is 9 Rs./hour in second case. Then find the consumption in travelling 250 mile.
(a) 325 kg.
(b) 300 kg.
(c) 225 kg.
(d) 270 kg
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
98. Expenditure of a mess is partly fixed and partly variable. If there are 5 students total expenditure is Rs. 1050 and if there are 8 students, total expenditure is Rs. 1200. Find average expenditure when there are 15 students in the mess.
(a) 1500
(b) 1550
(c) 1800
(d) 1850
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
99. Expenditure of a mess is partly fixed and partly variable. If there are 50 members, each member has to bear Rs. 110 per day. If there are 30 more members, each member has to bear Rs. 80 per day. How many members are there if the share of each member is Rs. 130 per day?
(a) 30
(b) 45
(c) 35
(d) 40
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
100. A person hired a servant for a year. He promised to pay him Rs. 3000 and a shirt. Servant left the job after 8 months. Person gave him Rs. 1800 and shirt. Find the price of shirt.
(a) 600
(b) 400
(c) 300
(d) 200
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
Mixture
101. Two vessels contain milk and water in the ratio 5 : 9 and 7 : 11. If both vessels are mixed in the ratio 4 : 3. Find the ratio of milk and water in the new mixture?
(a) 41 : 69
(b) 141 : 119
(c) 109 : 185
(d) 114 : 119
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
102. The ratio of milk and water in a mixture is 2 : 3. If we added x litre of milk, then ratio becomes 5 : 6. Again we added 20 litre of water to the mixture , then ratio becomes 1 : 2. Find the value of x.
(a) 4
(b) 5
(c) 8
(d) 10
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
103. A vessel contains a 32 litre solution of acid and water in which the ratio of acid and water is 5: 3. If 12 litres of the solution are taken out and 7.5 litres of water are added to it, then what is the ratio of acid and water in the resulting solution?
(a) 4: 7
(b) 5: 6
(c) 4: 9
(d) 8: 11
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
104. Two jar A and B. Both contain 20% milk. The quantity of jar A is 4 times than that of quantity of jar B. Both jar mixtures are mixed and form new mixture C and 15 litres of water is added. The final ratio of water to milk is now 19 : 4. Find the initial quantity (in litres) of milk in jar B.
(a) 5
(b) 4
(c) 8
(d) 10
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
105. A can contain a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drained off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
(a) 10
(b) 20
(c) 21
(d) 35
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
106. The ratio of acid and water in a mixture is 4 : 5. How much part of the mixture should be replaced by water so that ratio of milk and water is 16 : 29?
(a) 1/5
(b) 1/4
(c) 1/3
(d) 1/6
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
107. Three containers whose volumes are in the ratio 2 : 3 : 4 are full of mixture of spirit and water. In the 1st container the ratio of spirit and water is 4 : 1. In 2nd container the ratio is 11 : 4 and in the 3rd container ratio is 7 : 3. All the three mixtures are mixed in a big container. The ratio of spirit and water in the resultant mixture is:
(a) 4 : 9
(b) 9 : 5
(c) 11 : 4
(d) 1 : 2
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
108. A beaker contains acid and water in the ratio of 5 : x. When 4 litre of water is added to 16 litres of mixture, then ratio of acid to water becomes 1 : 1. What is the value of x?
(a) 2
(b) 3
(c) 4
(d) 5
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
109. A beaker contains acid and water in the ratio 1 : x. When 300 ml of the mixture and 50 ml of water are mixed, the ratio of acid and water becomes 2 : 5. What is the value of x?
(a) 1
(b) 2
(c) 3
(d) 4
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
110. A container contains 25 litre of milk. From this container, 5 litre of milk is taken out and replaced by water. This process is further repeated two times. How much milk is there in the container now?
(a) 11.5 litre
(b) 14.8 litre
(c) 13.5 litre
(d) 12.8 litre
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
111. There are 81 liters pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the ratio of milk to water in the new mixture?
(a) 1 : 2
(b) 1 : 1
(c) 2 : 1
(d) 4 : 5
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
112. A jar contains a mixture of milk and water in the ratio 7 :1. Then 24 L of mixture is taken out and 5L of milk and 15L of water are added to the remaining mixture. If resultant mixture contains 33% of water, then what was the initial quantity of mixture in the jar?
(a) 64
(b) 56
(c) 48
(d) 40
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
113. A jar contains a mixture of 120L of milk and 20L of water. Then ‘x’ L of mixture is taken out and 20L of milk and 15L of water are added to the remaining mixture. If the quantity of milk is 75L more than quantity of water, then find the value of ‘x’?
(a) 30
(b) 36
(c) 40
(d) 45
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
Partnership
114. A, B and C invested capital in the ratio 2 : 3 : 4 and the ratio of their period of investment are 2 : 3 : 4. In what ratio would their profit be distributed?
(A) 1 : 1 : 1
(B) 8 : 9 : 8
(C) 2 : 3 : 4
(D) 4 : 9 : 16
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
115. A, B, C enter into a partnership with capitals in the ratio 5 : 6 : 8. At the end of the business term, they received the profit in the ratio 5 : 3 : 12. Find the ratio of time for which they contributed their capitals?
(A) 2 : 1 : 3
(B) 1 : 2 : 3
(C) 2 : 3 :1
(D) 3 : 2 : 1
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
116. A, B and C entered into a partnership. The ratio of their period of investment are 3 : 6 : 2 and that of profits are 9 : 12 : 8. Find the ratio in which the investments are made by A, B and C.
(A) 2 : 3 : 4
(B) 3 : 2 : 4
(C) 4 : 6 : 3
(D) 3 : 6 : 4
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
117. A, B and C invest to start a restaurant. The total investment was Rs. 3 lakhs. B invested Rs. 50,000 more than A and C invested Rs. 25,000 less than B. If the profit at the end of the year was Rs. 14,400 then what is C’s share of the profit (in Rs)?
(A) 3,600
(B) 4,800
(C) 6,000
(D) 7,200
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
118. A, B and C jointly start a business A puts in Rs. 15,000 for 8 months, B puts in Rs. 12,000 for 9 months and C puts in Rs. 8000, for the whole year. In the end of the year there is a profit of Rs. 10,800. The difference between A’s share and C’s share in the profit will be:
(A) Rs.800
(B) Rs.600
(C) Rs.1200
(D) Rs.1800
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
119. A, B and C become partners in a business. A contributes rd of the capital for
th of the time. B contributes
th of the capital for
th of the time and C the rest of the capital for the whole time. If the profit is Rs. 1,820, then A’s share in profit is:
(A) Rs.130
(B) Rs.260
(C) Rs.292
(D) Rs.304
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
120. A started a business by investing Rs. 5600. B joined the business with Rs. 9600. If after one year profit was divided equally between both of them, then after how many months B joined business?
(A) 4
(B) 5
(C) 6
(D) 7
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
121. A started a business by investing Rs. 42,000. After few months B joined by investing Rs. 49,000. If at the end of year A got Rs. 9000 and B got Rs. 7,000 as a share of their profit. Then after how many months B joined the business.
(A) 1
(B) 4
(C) 2
(D) 3
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
122. A started a business with Rs. 24000. After 3 months, B joined him with Rs. 48000. After some more months, C joined them with Rs. 120000. B received Rs. 18000 out of the total annual profit of Rs. 55000. How many months after started the business did C join?
(A) 7
(B) 6
(C) 5
(D) 4
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
123. A started a business investing a certain amount. B joined him after 3 months with a capital of Rs. 48,000. If at the end of the year A and B shared the profit in the ratio of 10 : 9 respectively, how much money did A invests?
(A) 30000
(B) 40000
(C) 45000
(D) 50000
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
124. A starts business with a capital of Rs. 14,000. Five months later B joins and further two months later C joins them. If the profit sharing ratio in the end of year is 4 : 3 : 2, then the money invested by C was:
(A) Rs.18,000
(B) Rs.16,800
(C) Rs.18,600
(D) Rs.10,800
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
125. A, B and C are partners in a business. A whose money has been used for 4 months claims 1/8 of profit, B whose money has been used for 6 months, claims 1/3 of the profit. C had invested Rs. 1560 for 8 months. What is the difference between shares of A and B?
(A) Rs.720
(B) Rs.560
(C) Rs.420
(D) Rs.500
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
126. X and Y entered into a partnership, investing Rs. 16,000 and Rs. 12,000 respectively. After 3 months X withdrew Rs. 5,000, while Y invested Rs. 5000 more. After 3 months more Z joins the business with a capital of Rs. 21,000. After a year they obtained a profit of Rs. 26,400. By what amount does the share of Y exceed the share of Z.
(A) Rs.3600
(B) Rs.3800
(C) Rs.4600
(D) Rs. 4800
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
127. A, B and C started a business with their capitals in the ratio 2 : 3 :5. A increased his capital by 50% after 4 months, B increased his capital by 33% after 6 months and C withdrew 50% of his capital after 8 months, from the start of the business. If the total profit at the end of a year was Rs. 86,800, then the difference between the shares A and C in the profit was:
(A) Rs.7000
(B) Rs.9800
(C) Rs.8400
(D) Rs.12600
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
128. A, B and C entered into a business and their investments ratio was 5 : 4 : 3. After 4 months B invested Rs. 1000 more and after 8 months C invested Rs. 2000 more. At the end of one year the profit ratio was 15 : 14 : 11, then the investment of C at the beginning was:
(A) Rs.3000
(B) Rs.6000
(C) Rs.4500
(D) Rs. 7500
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
129. A, B and C invested Rs. 25000, 40,000 and 35,000 in a business. After 4 months they invested extra amount in the ratio 3 : 2 : 5. If B’s share is of total profit. Find extra amount invested by B?
(A) 60000
(B) 75000
(C) 80000
(D) 64000
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
130. A, B & C entered in to a partenership by investing the capitals in the ratio 5:6:4. A get 30% of the total profit for managing the business. The remaining profit is divided among them in the ratio of their investments. At the end of a year, the profit of A was Rs 20000 more than the sum of the profits of B and C. What was the share of B in total the total profit?
(A) Rs.108000
(B) Rs.56000
(C) Rs.84000
(D) Rs.90000
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
131. A, B and C started a business with investments in the ratio 3 : 4 : 5. As B and C were working partners they were paid equal salaries. The ratio of B’s and C’s total income is 9 : 10. If the total annual profit is Rs. 66000, find B’s salary (in Rs.).
(A) 9000
(B) 12000
(C) 15000
(D) 27000
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
132. A, B and C invest in a business in the ratio 4 : 5 : 7. C is a sleeping partner, so his share of profits will be half of what it would have been if he were a working partner. If they make Rs. 36,000 profit of which 25% is reinvested in the business, how much does B gets (in Rs.)?
(A) 7,560
(B) 10,800
(C) 8,640
(D) 9,200
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
133. A, B and C started a business by investing Rs.24,000, Rs.32,000 andRs.18,000 respectively. A and B are active partners and get 15% and 12% of total profit and remaining profit is to be distributed among them in the ratio of their investment. If C got total Rs. 65,700 as a profit, what was the total amount of profit?
(A) Rs.4,70,000
(B) Rs.3,70,000
(C) Rs.3,45,000
(D) Rs.1,57,000
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
134. A and B started a business in partnership by investing Rs. 10,000 and Rs. 4,000 respectively. Condition of partnership is that B got Rs. 100 per month for management of the business. After paying 5% interest on the capital annual profit has distributed in the ratio of their investments. Find the share of their profit, if the annual profits is Rs. 4,000.
(A) Rs.3,000 each
(B) Rs.2,500 each
(C) Rs.1,500 each
(D) Rs.2,000 each
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
135. A and B started a business by investing in the ratio 2 : 3. Both A and B are active partners, so they get Rs 36000 and Rs 30000 per month respectively as their salary out of the total profit earned. After x months, if the total profit earned is Rs. 7.68 lakhs, and A and B have same income, then find the value of x?
(A) 9
(B) 6
(C) 10
(D) 8
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
136. A and B share profits and losses in a firm in the ratio of 3 : 2. And C entered in this firm as a new partner; his profit sharing ratio is 25%. If C has taken his share of profit from A and B in equal ratio, then the new profit sharing ratio will be:
(A) 19 : 11 : 1
(B) 19 : 11 : 10
(C) 10 : 11 : 9
(D) 10 : 11 : 19
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
137. A & B started a business with their capital in the ratio 9 : 13, respectively. They agreed to share the profit in the ratio of their investments. C joins the business with the condition that A, B and C will share the profit equally. C pays a sum of Rs 3,08,000 as a premium for goodwill. What will be the share of B in this premium?
(A) Rs.170000
(B) Rs.204000
(C) Rs.238000
(D) Rs.187000
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
138. Keshav, Surjeet and Thomas started a business with investments in the ratio 2 : 3 : 4. The ratio of their period investments is 5 : 6 : 9. Twenty percent of the profit was spent on rent and maintenance of the office. Remaining profit was distributed among themselves. If difference in the shares of profit of Keshav and Surjeet is Rs.7264, then how much is the total profit (in Rs.)?
(a) 58112
(b) 51060
(d) 72640
(c) 46490
Class Notes of Ratio Proportion and Partnership by Trilochan Puhan
139. A gentleman decided to treat a few children in the following manner. He gives half of his total stock of toffees and one extra to the first child, and then the half of the remaining stock along with one extra to the second and continues giving away in this fashion. His total stock exhausts after he takes care of 5 children. How many toffees were there in his stock initially?