**SSC Mathematics Topic Wise Solved Papers – Ratio, Proportion, Mixture and Partnership**

Contents

SSC Mathematics Previous Year Question Papers English Reasoning General Awareness

**1.A drum of kerosene is 3/4 full. When 30 liters of kerosene is drawn from it, it remains 7/12 full. The capacity of the drum is (SSC CGL 1st Sit. 2010)**

(a) 120 l

(b) 135 l

(c) 150 l

(d) 180 l

**2.If Rs 1000 is divided between A and B in the ratio 3 : 2, then A will receive (SSC CGL 1st Sit. 2010)**

(a) Rs 400

(b) Rs 500

(c) Rs 600

(d) Rs 800

**3.What must be added to each term of the ratio 7 : 11, so as to make it equal to 3 : 4 ? (SSC CGL 1st Sit. 2010)**

(a) 8

(b) 7.5

(c) 6.5

(d) 5

**4.Two number are in the ratio 7 :11. If 7 is added to each of the numbers, the ratio becomes 2:3. The smaller number is (SSC CGL 2nd Sit. 2010)**

(a) 39

(b) 49

(c) 66

(d) 77

**5.If 1.5 a=0.04 b then b-a/b+a is equal to (SSC CGL 2nd Sit. 2010)**

(a)73/77

(b)77/33

(c)2/75

(d)75/2

**6.The ratio of milk and water in mixtures of four containers are 5: 3,2: 1,3 :2 and 7:4 respectively, in which container is the quantity of milk, relative to water, minimum ? (SSC CGL 2nd Sit. 2010)**

(a) First

(b) Second

(c) Third

(d) Fourth

**7.Two numbers are in the ratio 1 : 3. If their sum is 240, then their difference is (SSC CGL 2nd Sit. 2010)**

(a) 120

(b) 108

(c) 100

(d) 96

**8.The ratio of income and expenditure of a person is 11 :10. If he saves Rs 9,000 per annum, his monthly income is (SSC CGL 2nd Sit. 2010)**

(a) Rs 8,000

(b) Rs 8,800

(c) Rs 8,500

(d) Rs 8,250

**9.If W1 : W2 = 2:3 and W1 : W3 = 1:2 then W2 : W3 is (SSC CGL 2nd Sit. 2010)**

(a) 3:4

(b) 4:3

(c) 2:3

(d) 4:5

**10.In a business partnership among A, B, C and D, the profit is shared as follows:**

**If the total profit is Rs 4,00,000, the share of C is (SSC CGL 1st Sit. 2011)**

(a) Rs 1,12,500

(b) Rs 1,37,500

(c) Rs 90,000

(d) Rs 2,70,000

**11. A can contains a mixture of two liquids A and B in the ratio 7: 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. Litres of liquid A contained by the can initially was (SSC CGL 1st Sit. 2011)**

(a) 10

(b) 20

(c) 21

(d) 25

**12. What number should be added to or subtracted from each term of the ratio 17 : 24 so that it becomes equal to 1 : 2? (SSC CGL 1st Sit. 2011)**

(a) 5 is subtracted

(b) 10 is added

(c) 7 is added

(d) 10 is subtracted

**13. The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves Rs 200 per week, then the sum of their weekly incomes is (SSC CGL 1st Sit. 2011)**

(a) Rs 3,600

(b) Rs 3,200

(c) Rs 4,800

(d) Rs 5,600

**14. Among three numbers, the first is twice the second and thrice the third. If the average of the three numbers is 49.5, then the difference between the first and the third number is (SSC CGL 2nd Sit. 2011)**

(a) 54

(b) 28

(c) 39.5

(d) 41.5

**15. If x: y = 4:5, then (3x+y): (5x + 3y) = (SSC CGL 2nd Sit. 2011)**

(a) 3:5

(b) 5:3

(c) 17:35

(d) 35:17

**16. The ratio of the quantities of an acid and water in a mixture is 1: 3. If 5 litres of acid is further added to the mixture, the new ratio becomes 1 : 2. The quantity of new mixture in litres is (SSC CGL 2nd Sit. 2011**)

(a) 32

(b) 40

(c) 42

(d) 45

**17. The ratio between two numbers is 2 : 3. If each number is increased by 4, the ratio between them becomes 5 : 7. The difference between the numbers is (SSC CGL 2nd Sit. 2011)**

(a) 8

(b) 6

(c) 4

(d) 2

**18. Monthly incomes of A and B are in the ratio of 4: 3 and their expenses bear the ratio 3 : 2. Each of them saves Rs 6,000 at the end of the month, then the monthly income of A is (SSC CGL 2nd Sit. 2011)**

(a) Rs 12,000

(b) Rs 24,000

(c) Rs 30,000

(d) Rs 60,000

**19. Equal amounts of water were poured into two empty jars of different capacities, which made one jar 1/4 full and the other jar 1/3 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, then the part of the Larger jar filled with water is (SSC Sub. Ins. 2012)**

(a)1/2

(b)7/12

(c)1/4

(d)1/3

**20. A certain sum of money is distributed to A and B in the ratio 2 : 5. If A received Rs 100, then the money received by B is (SSC Sub. Ins. 2012)**

(a) Rs 200

(b) Rs 150

(c) Rs 250

(d) Rs 300

**21. A man leaves Rs 12,600 to be divided among 7 sons, 3 daughters and 5 nephews. If each daughter receives three times as much as each nephew and each son seven times as much as each nephew, then each daughter’s share is (SSC Sub. Ins. 2012)**

(a) Rs 700

(b) Rs 650

(c) Rs 600

(d) Rs 750

**22. In a school, the ratio of boys to girls is 4 : 3 and the ratio of girls to teachers is 8 : 1. The ratio of student to teachers is : (SSC CHSL 2012)**

(s) 56:3

(b) 55:1

(c) 49:3

(d) 56:1

**23. A, B and C are batsmen. The ratio of the runs scored by them in a certain match are given below:**

** A: B = 5 :3 and B: C = 4:5. In all they scored 564 runs. The number of runs scored by B is: (SSC CHSL 2012)**

(a) 124

(b) 104

(c) 114

(d) 144

**24. The ratio in which a man must mix rice at Rs 10.20 per kg and Rs 14.40 per kg so as to make a mixture worth Rs 12.60 per kg, is (SSC Multitasking 2013)**

(a) 3:4

(b) 4:3

(c) 2:5

(d) 18:24

**25. The cost of a piece of diamond varies with the square of its weight. A diamond of Rs 5,184 value is cut into 3 pieces whose weights are in the ratio 1 :2 :3. Find the loss involved in the cutting. (SSC CGL 1st Sit. 2012)**

(a) Rs 3,068

(b) Rs 3,088

(c) Rs 3,175

(d) Rs 3,168

**26. In a partnership business, A invests 1/6 th of the capital for 1/6 of the total time, B invests 1/4 of the capital for 1/4 of the 6 total time and C, the rest of the capital for the whole time. Out of a profit of Rs 19,400, B’s share is: (SSC CGL 2nd Sit. 2012)**

(a) Rs 2000

(b) Rs 1200

(c) Rs 1600

(d) Rs 1800

**27. A jar contains a mixture of two liquids A and B in the ratio 4 : 1. When 10 litre of the mixture is replaced with liquid B, the ****ratio becomes 2 : 3. The volume of liquid A present in the jar earlier was: (SSC CGL2nd Sit. 2012)**

(a) 20 It

(b) 10 It

(c) 16 It

(d) 15 It

**28. A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. Find ****for how long B’s money was used? (SSC CGL 1st Sit. 2012)**

(a) 6 months

(b) 8 months

(c) 10 months

(d) 12 months

**29. An employer reduces the number of employees in the ratio 8: 5 and increases their wages in the ratio 7:9. As a result, the overall wages bill is (SSC CGL 1st Sit. 2012)**

(a) Increased in the ratio 56 : 69

(b) Decreased in the ratio 56 :45

(c) Increased in the ratio 13:17

(d) Decreased in the ratio 17:13

**30. A, B, C subscribe together Rs 50,000 for a business. A subscribes Rs 4,000 more than B and B Rs 5,000 more than C. Out of a total profit of Rs 35,000, A receives (SSC CGL 2nd Sit. 2012)**

(a) Rs 8,500

(b) Rs 11,998

(c) Rs 12,600

(d) Rs 14,700

**31. 465 coins consists of 1 rupee, 50 paise and 25 paise coins.Their values are in the ratio 5:3 :1. The number of each type of coins respectively is (SSC CGL 2nd Sit. 2012)**

(a) 155,186,124

(b) 154,187,124

(c) 154,185,126

(d) 150,140,175

**32. The present ages of two persons are 36 and 50 years respectively, if after n years the ratio of their ages will be 3 : 4, then the value of n is (SSC Multitasking 2013)**

(a) 3

(b) 4

(c) 7

(d) 6

**33. A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black socks is double that of a brown pair. While preparing the bill the clerk 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 : (SSC Sub. Ins. 2013)**

(a) 2:1

(b) 1:4

(c) 1:2

(d) 4:1

**34. The proportion of acid and water in three samples is 2 : 1, 3 : 2 and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of water and acid in the mixture is: (SSC Sub. Ins. 2013)**

(a) 120:133

(b) 227:133

(c) 227:120

(d) 133:227

**35. The ratio of age of two boys is 5 :6. After two years the ratio will be 7: 8. The ratio of their ages after 12 years will be (SSC CHSL 1st Sit. 2013)**

(a) 11/12

(b) 22/24

(c) 15/16

(d) 17/18

**36. A invests Rs 64,000 in a business. After few months B joined him with Rs 48,000. At the end of year, the total profit was divided between them in the ratio 2:1. After how many months did B join ? (SSC CHSL 2nd Sit. 2013)**

(a) 7

(b) 8

(c) 4

(d) 6

**37. Three numbers are in the ratio 1 :2 : 3. By adding 5 to each of them, the new numbers are in the ratio 2:3:4. The numbers are: (SSC CGL 1st Sit. 2013)**

(a) 5,10,15

(b) 10,20,30

(c) 15,30,45

(d) 1,2,3

**38. Rs 700 is divided among A, B, C in such a way that the ratio of the amount of A and B is 2 :3 and that of B and C is 4 : 5.**

**Find the amounts in Rs each received, in the order A, B, C. (SSC CGL 2nd Sit. 2013)**

(a) 150,250,300

(b) 160,240,300

(c) 150,250,290

(d) 150,240,310

**39. The ratio of monthly incomes of A, B is 6 : 5 and their monthly expenditures are in the ratio 4: 3. If each of them saves ? 400 per month, find the sum of their monthly incomes. (SSC CGL 2nd Sit. 2013)**

(a) 2300

(b) 2400

(c)2200

(d)2500

**40. A and B have together three times what B and C have, while A, B, C together have thirty rupees more than that of A. If B has 5 times that of C, then A has (SSC CGL 2nd Sit. 2013)**

(a) Rs 60

(b) Rs 65

(c) Rs 75

(d) Rs 45

**41. 15 litres of a mixture contains alcohol and water in the ratio 1 : 4. If 3 litres of water is mixed in it, the percentage of alcohol in the new mixture will be (SSC CGL 2nd Sit. 2013**)

(a) 15

(b)16 2/3

(c) 17

(d)18 1/2

**42. The prices of a school bag and a shoe are in the ratio 7: 5. The price of a school bag is Rs 200 more than the price of a shoe. ****Then the price of a shoe is (SSC CGL 1st Sit. 2013)**

(a) Rs 500

(b) Rs 1,200

(c) Rs 200

(d) Rs 700

**43. A sum of Rs 300 is divided among P, Q and R in such a way that Q gets Rs 30 more than P and R gets Rs 60 more than Q. The ratio of their share is (SSC CGL 1st Sit. 2013)**

(a) 3:2:5

(b) 2:5:3

(c) 5:3:2

(d) 2:3:5

**44. The prize money of Rs 1,800 is divided among 3 students A, B and C in such a way that 4 times the share of A is equal to 6 times the share of B, which is equal to 3 times the share of C. Then A’s share is (SSC CGL 1st Sit. 2013)**

(a) Rs 400

(b) Rs 600

(c) Rs 700

(d) Rs 800

**45. Divide 81 into three parts so that 1/2 of 1st, 1/3 of 2nd and 1/4 of 3rd are equal. (SSC CGL 1st Sit. 2013)**

(a) 36,27,18

(b) 27,18,36

(c) 18,27,36

(d) 30,27,24

**46. The ratio of 25 ^{2.5}: 5^{3} is same as (SSC CGL 1st Sit. 2013)**

(a) 5:3

(b) 5:6

(c) 1:25

(d) 25:1

**47. If 2x = 3y = 4z, find x:y: z. (SSC Multitasking 2014)**

(a) 3:4:6

(b) 6:4:3

(c) 4:3:2

(d) 2:3:4

**48.The ratio of the ages of A, B and C is 5: 8: 9. If the sum of the ages of A and C is 56 years, the age of B will be (SSC Multitasking 2014)**

(a) 12 years

(b) 23 years

(c) 21 years

(d) 32 years

**49.A box contain 280 coins of me rupee, 50 paise and 25 paise. The values of each kind of coin are in the ratio of 8 : 4 : 3. The number of one rupee coins will be (SSC Multitasking 2014)**

(a) 52

(b) 81

(c) 60

(d) 80

**50.If x : y ::2 : 3 and 2 : x :: 4 : 8 the value of y is (SSC Sub. Ins. 2014)**

(a) 6

(b) 8

(c) 4

(d) 12

**51.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 gets Rs 3. The share of B exceeds that of C by (SSC Sub. Ins. 2014)**

(a) Rs 30

(b) Rs 40

(c) Rs 70

(d) Rs 210

**52.If x/y = 4/5 then the value of**

**is (SSC CHSL 1st Sit. 2014)**

(a)3/7

(b)1 1/7

(c) 1

(d) 2

**53.Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The small number is (SSC CHSL 2nd Sit. 2014)**

(a) 27

(b) 33

(c) 49

(d) 55

**54.If x: y = 5 : 2, then (8x + 9y): (8x + 2y) is (SSC CHSL 2nd Sit. 2014)**

(a) 22:29

(b) 26:61

(c) 29:22

(d) 61:26

**55.Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 15 times as heavy as water? (SSC CGL 1st Sit. 2014)**

(a) 1:1

(b) 1:2

(c) 2:3

(d) 3:2

**56.Incomes of x and y 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 x is : (SSC Sub. Ins. 2015)**

(a) Rs 6000

(b) Rs 8000

(c) Rs 2000

(d) Rs 4000

**57.The current ages of Sonali and Monali are in the ratio 5:3. Five years from now, their ages will be in the ratio 10 : 7. Then, Monali’s current age is: (SSC CHSL 1st Sit. 2015)**

(a) 9 years

(b) 15 years

(c) 3 years

(d) 5 years

**58.A vessel contains 60 litres of milk. 12 litres of milk taken out from it and replaced by water. Then again from mixture, 12 litres are again taken out and replaced by water. The ratio of milk and water in the resultant mixture is: (SSC CHSL 1st Sit. 2015)**

(a) 16:10

(b) 9:5

(c) 15:10

(d) 16:9

**59. Eighteen years ago, the ratio of A’s age to B’s age was 8 :13. Their present ratio’s are 5 : 7. What is the present age of A? (SSC CGL 1st Sit. 2015)**

(a) 70 years

(b) 50 years

(c) 40 years

(d) 60 years

**60. 729 ml of a mixture contains milk and water in the ratio 7:2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7:3? (SSC CGL 1st Sit. 2015)**

(a) 60 ml

(b) 71 ml

(c) 52 ml

(d) 81 ml

**61. What must be added to each term of the ratio 2 : 5 so that it may equal to 5 : 6 ? (SSC CGL 1st Sit. 2015)**

(a) 12

(b) 78

(c) 65

(d) 13

**62. If A and B are in the ratio 4 : 5 and the difference of their squares is 81, what is the value of A? (SSC CGL 1st Sit. 2015)**

(a) 36

(b) 15

(c) 45

(d) 12

**63. The ratio of number of boys and girls in a school of 720 students is 7 : 5 . How many more girls should be admitted to make the ratio 1:1? (SSC CGL 1st Sit. 2016)**

(a) 90

(b) 120

(c) 220

(d) 240

**64. A and B invest Rs 3000 and Rs 2400 respectively in a business. If after one year there is a loss of Rs 720, how much loss will B bear? (Loss or Profit is in proportion to their investments) (SSC CGL 1st Sit. 2016)**

(a) Rs 72

(b) Rs 320

(c) Rs 400

(d) Rs 360

**65. The numbers x, y, z are respectively proportional to 2, 3, 5 and the sum of x, y and z is 80. If the number z is given by the equation z = ax – 8, then a is (SSC CGL 1st Sit. 2016)**

(a) 6

(b) 3/2

(c) 3

(d) 5/2

**66. The sum of the cubes of two numbers in the ratio 3 : 4 is 5824. The sum of the numbers is: (SSC CGL 1st Sit. 2016)**

(a) (5824)^{1/3}

(b) 28

(c) 24

(d) 14

**67. A can is full of a mixture of a two liquids A and B in the ratio of 7:5. When 9 litres of mixture are drawn off from the can and replaced by the same quantity of liquid B, the ratio of A and B in the can becomes 7:9. The capacity of the can is (SSC Sub. Ins. 2016)**

(a) 10 litres

(b) 21 litres

(c) 20 litres

(d) 36 litres

**68. The ratio of the radii of two cylinders is 2:1 and their heights are in the ratio 3:2. Then their volumes are in the ratio (SSC Sub. Ins. 2016)**

(a) 3:1

(b) 4:3

(c) 6:5

(d) 6:1

**69. If 3/7 P = 4/11 Q, then what is the ratio of P and Q respectively? (SSC CGL 2017)**

(a) 12:77

(b) 12:33

(c) 28:33

(d) 3:28

**70. Rs 3200 is divided among A, B and C in the ratio of 3 : 5 : 8 respectively. What is the difference (in Rs) between the share of B and C? (SSC CGL 2017)**

(a) 400

(b) 600

(c) 800

(d) 900

**71.A, B and C invested amounts in the ratio 3:4:5 respectively. It the schemes offered compound interest at the rate of 20% per annum, 15% per annum and 10% per annum respectively, then what will be the ratio of their amounts after 1 year? (SSC CGL 2017)**

(a) 3:15:25

(b) 6:6:5

(c) 36:46:55

(d) 12:23:11

**72. If A:B = 2 :5,B: C = 4: 3 and C : D = 2:1,then what is value of A: C : D? (SSC CGL 2017)**

(a) 6:5:2

(b) 7:20:10

(c) 8:30:15

(d) 16:30:15

**73. The third proportional of two numbers 9 and 24 is (SSC CHSL 2017)**

(a) 39

(b) 48

(c) 72

(d) 64

**74. The sum of the present ages of father and son is 90 years. 10 years earlier the ratio of their ages was 5:2. The present age of the father is: (SSC MTS 2017)**

(a) 65

(b) 68

(c) 70

(d) 60

**75. 1/2 of A = 2/5 of B = 1/3 of C, then A: B: C is: (SSC MTS 2017)**

(a) 4:6:5

(b) 6:4:5

(c) 4:5:6

(d) 5:4:6

**76. Of the three numbers, the first is twice the second, and the second is twice the third. The average of the reciprocal of the numbers is 7/12. The numbers are: (SSC MTS 2017)**

(a) 20,10,5

(b) 4,2,1

(c) 36,18,9

(d) 16,8,4

**77. A litre of water weighs a kilogram, a litre of another liquid weighs 1.340 kilograms. A mixture of the two weighs 1.270 kilograms per litre. The ratio of their volumes in a litre of the mixture is: (SSC MTS 2017)**

(a) 27:34

(b) 7:27

(c) 17:24

(d) 7:17

**78. If 2A = 3B and 3B = 2C, then what is A: B: C? (SSC Sub. Ins. 2017)**

(a) 3:2:3

(b) 2:3:2

(c) 1 :3 :1

(d) 2:3 :4

**79. Raman, Manan, and Kamal are partners and invest in a business such that Raman invests 2/5 th of total and Manan invest 3/8th of the total. What is the ratio of profit of Raman, Manan and Kamal respectively? (SSC Sub. Ins. 2017)**

(a) 16:15:9

(b) 16:15:31

(c) 2:3:5

(d) 15:16:9

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