OU All In One

Ratio and Proportion questions

Dividing amounts, combining ratios.

1. Two numbers are in the ratio 8:5 and their sum is 78. If 6 is added to each, what is the new ratio?

  1. 5:8
  2. 8:5
  3. 14:11
  4. 3:2
Answer

D. 3:2 The numbers are 48 and 30. After adding 6: 54:36 = 3:2.

2. ₹231 is divided between Ravi and Imran in the ratio 6:5. What is Ravi's share?

  1. ₹126
  2. ₹139
  3. ₹125
  4. ₹151
Answer

A. ₹126 Ravi's share = 6/11 × 231 = ₹126.

3. If A:B = 5:6 and B:C = 6:3, what is A:C?

  1. 5:3
  2. 15:36
  3. 3:5
  4. 11:9
Answer

A. 5:3 A:C = (A/B) × (B/C) = (5/6) × (6/3) = 30:18 = 5:3.

4. Two numbers are in the ratio 6:3 and their sum is 27. If 9 is added to each, what is the new ratio?

  1. 3:2
  2. 15:12
  3. 6:3
  4. 3:6
Answer

A. 3:2 The numbers are 18 and 9. After adding 9: 27:18 = 3:2.

5. ₹208 is divided between Arjun and Ravi in the ratio 3:5. What is Arjun's share?

  1. ₹98
  2. ₹78
  3. ₹77
  4. ₹86
Answer

B. ₹78 Arjun's share = 3/8 × 208 = ₹78.

6. If A:B = 7:4 and B:C = 2:7, what is A:C?

  1. 7:7
  2. 1:2
  3. 9:11
  4. 2:1
Answer

B. 1:2 A:C = (A/B) × (B/C) = (7/4) × (2/7) = 14:28 = 1:2.

7. Two numbers are in the ratio 5:4 and their sum is 81. If 4 is added to each, what is the new ratio?

  1. 4:5
  2. 9:8
  3. 49:40
  4. 5:4
Answer

C. 49:40 The numbers are 45 and 36. After adding 4: 49:40 = 49:40.

8. ₹220 is divided between Rahul and Ayesha in the ratio 6:5. What is Rahul's share?

  1. ₹150
  2. ₹90
  3. ₹122
  4. ₹120
Answer

D. ₹120 Rahul's share = 6/11 × 220 = ₹120.

9. If A:B = 6:3 and B:C = 2:7, what is A:C?

  1. 8:10
  2. 6:7
  3. 7:4
  4. 4:7
Answer

D. 4:7 A:C = (A/B) × (B/C) = (6/3) × (2/7) = 12:21 = 4:7.

10. Two numbers are in the ratio 9:2 and their sum is 66. If 7 is added to each, what is the new ratio?

  1. 2:9
  2. 9:2
  3. 61:19
  4. 16:9
Answer

C. 61:19 The numbers are 54 and 12. After adding 7: 61:19 = 61:19.

11. ₹75 is divided between Imran and Rohit in the ratio 2:1. What is Imran's share?

  1. ₹60
  2. ₹51
  3. ₹50
  4. ₹63
Answer

C. ₹50 Imran's share = 2/3 × 75 = ₹50.

12. If A:B = 2:4 and B:C = 2:7, what is A:C?

  1. 1:7
  2. 4:11
  3. 7:1
  4. 2:7
Answer

A. 1:7 A:C = (A/B) × (B/C) = (2/4) × (2/7) = 4:28 = 1:7.

13. Two numbers are in the ratio 5:9 and their sum is 112. If 7 is added to each, what is the new ratio?

  1. 47:79
  2. 12:16
  3. 5:9
  4. 9:5
Answer

A. 47:79 The numbers are 40 and 72. After adding 7: 47:79 = 47:79.

14. ₹133 is divided between Arjun and Vikram in the ratio 4:3. What is Arjun's share?

  1. ₹77
  2. ₹76
  3. ₹84
  4. ₹75
Answer

B. ₹76 Arjun's share = 4/7 × 133 = ₹76.

15. If A:B = 3:6 and B:C = 3:7, what is A:C?

  1. 3:14
  2. 3:7
  3. 14:3
  4. 6:13
Answer

A. 3:14 A:C = (A/B) × (B/C) = (3/6) × (3/7) = 9:42 = 3:14.

16. Two numbers are in the ratio 6:6 and their sum is 96. If 3 is added to each, what is the new ratio?

  1. 9:9
  2. 48:51
  3. 1:1
  4. 6:6
Answer

C. 1:1 The numbers are 48 and 48. After adding 3: 51:51 = 1:1.

17. ₹51 is divided between Priya and Farhan in the ratio 1:2. What is Priya's share?

  1. ₹18
  2. ₹20
  3. ₹21
  4. ₹17
Answer

D. ₹17 Priya's share = 1/3 × 51 = ₹17.

18. If A:B = 6:5 and B:C = 2:4, what is A:C?

  1. 6:4
  2. 3:5
  3. 5:3
  4. 8:9
Answer

B. 3:5 A:C = (A/B) × (B/C) = (6/5) × (2/4) = 12:20 = 3:5.

19. Two numbers are in the ratio 3:4 and their sum is 14. If 8 is added to each, what is the new ratio?

  1. 4:3
  2. 7:8
  3. 3:4
  4. 11:12
Answer

B. 7:8 The numbers are 6 and 8. After adding 8: 14:16 = 7:8.

20. ₹198 is divided between Priya and Arjun in the ratio 8:1. What is Priya's share?

  1. ₹220
  2. ₹174
  3. ₹176
  4. ₹211
Answer

C. ₹176 Priya's share = 8/9 × 198 = ₹176.

21. If A:B = 3:7 and B:C = 3:4, what is A:C?

  1. 9:28
  2. 28:9
  3. 3:4
  4. 6:11
Answer

A. 9:28 A:C = (A/B) × (B/C) = (3/7) × (3/4) = 9:28 = 9:28.

22. Two numbers are in the ratio 4:7 and their sum is 55. If 7 is added to each, what is the new ratio?

  1. 4:7
  2. 7:4
  3. 9:14
  4. 11:14
Answer

C. 9:14 The numbers are 20 and 35. After adding 7: 27:42 = 9:14.

23. ₹203 is divided between Sana and Rahul in the ratio 2:5. What is Sana's share?

  1. ₹58
  2. ₹46
  3. ₹64
  4. ₹57
Answer

A. ₹58 Sana's share = 2/7 × 203 = ₹58.

24. If A:B = 7:3 and B:C = 7:4, what is A:C?

  1. 49:12
  2. 12:49
  3. 14:7
  4. 7:4
Answer

A. 49:12 A:C = (A/B) × (B/C) = (7/3) × (7/4) = 49:12 = 49:12.

25. Two numbers are in the ratio 7:8 and their sum is 45. If 3 is added to each, what is the new ratio?

  1. 7:8
  2. 10:11
  3. 8:7
  4. 8:9
Answer

D. 8:9 The numbers are 21 and 24. After adding 3: 24:27 = 8:9.

26. ₹144 is divided between Vikram and Kiran in the ratio 3:1. What is Vikram's share?

  1. ₹108
  2. ₹135
  3. ₹106
  4. ₹107
Answer

A. ₹108 Vikram's share = 3/4 × 144 = ₹108.

27. If A:B = 7:3 and B:C = 2:3, what is A:C?

  1. 9:6
  2. 7:3
  3. 14:9
  4. 9:14
Answer

C. 14:9 A:C = (A/B) × (B/C) = (7/3) × (2/3) = 14:9 = 14:9.

28. Two numbers are in the ratio 5:5 and their sum is 80. If 3 is added to each, what is the new ratio?

  1. 40:43
  2. 1:1
  3. 8:8
  4. 5:5
Answer

B. 1:1 The numbers are 40 and 40. After adding 3: 43:43 = 1:1.

29. ₹203 is divided between Arjun and Sana in the ratio 4:3. What is Arjun's share?

  1. ₹116
  2. ₹114
  3. ₹117
  4. ₹104
Answer

A. ₹116 Arjun's share = 4/7 × 203 = ₹116.

30. If A:B = 6:5 and B:C = 4:6, what is A:C?

  1. 10:11
  2. 6:6
  3. 4:5
  4. 5:4
Answer

C. 4:5 A:C = (A/B) × (B/C) = (6/5) × (4/6) = 24:30 = 4:5.

31. Two numbers are in the ratio 3:7 and their sum is 20. If 8 is added to each, what is the new ratio?

  1. 11:15
  2. 7:11
  3. 3:7
  4. 7:3
Answer

B. 7:11 The numbers are 6 and 14. After adding 8: 14:22 = 7:11.

32. ₹390 is divided between Imran and Meera in the ratio 7:8. What is Imran's share?

  1. ₹146
  2. ₹183
  3. ₹137
  4. ₹182
Answer

D. ₹182 Imran's share = 7/15 × 390 = ₹182.

33. If A:B = 6:5 and B:C = 7:2, what is A:C?

  1. 21:5
  2. 13:7
  3. 6:2
  4. 5:21
Answer

A. 21:5 A:C = (A/B) × (B/C) = (6/5) × (7/2) = 42:10 = 21:5.

34. Two numbers are in the ratio 4:7 and their sum is 44. If 7 is added to each, what is the new ratio?

  1. 11:14
  2. 4:7
  3. 7:4
  4. 23:35
Answer

D. 23:35 The numbers are 16 and 28. After adding 7: 23:35 = 23:35.

35. ₹377 is divided between Vikram and Meera in the ratio 8:5. What is Vikram's share?

  1. ₹290
  2. ₹278
  3. ₹186
  4. ₹232
Answer

D. ₹232 Vikram's share = 8/13 × 377 = ₹232.

36. If A:B = 5:6 and B:C = 6:4, what is A:C?

  1. 20:36
  2. 5:4
  3. 11:10
  4. 4:5
Answer

B. 5:4 A:C = (A/B) × (B/C) = (5/6) × (6/4) = 30:24 = 5:4.

37. Two numbers are in the ratio 6:3 and their sum is 81. If 3 is added to each, what is the new ratio?

  1. 19:10
  2. 9:6
  3. 3:6
  4. 6:3
Answer

A. 19:10 The numbers are 54 and 27. After adding 3: 57:30 = 19:10.

38. If A:B = 2:3 and B:C = 2:5, what is A:C?

  1. 4:8
  2. 15:4
  3. 2:5
  4. 4:15
Answer

D. 4:15 A:C = (A/B) × (B/C) = (2/3) × (2/5) = 4:15 = 4:15.

39. Two numbers are in the ratio 4:9 and their sum is 117. If 4 is added to each, what is the new ratio?

  1. 9:4
  2. 8:13
  3. 8:17
  4. 4:9
Answer

C. 8:17 The numbers are 36 and 81. After adding 4: 40:85 = 8:17.

40. If A:B = 5:7 and B:C = 6:3, what is A:C?

  1. 10:7
  2. 5:3
  3. 7:10
  4. 11:10
Answer

A. 10:7 A:C = (A/B) × (B/C) = (5/7) × (6/3) = 30:21 = 10:7.

41. Two numbers are in the ratio 4:4 and their sum is 56. If 2 is added to each, what is the new ratio?

  1. 28:30
  2. 4:4
  3. 1:1
  4. 6:6
Answer

C. 1:1 The numbers are 28 and 28. After adding 2: 30:30 = 1:1.

42. If A:B = 6:3 and B:C = 4:6, what is A:C?

  1. 10:9
  2. 3:4
  3. 6:6
  4. 4:3
Answer

D. 4:3 A:C = (A/B) × (B/C) = (6/3) × (4/6) = 24:18 = 4:3.

43. Two numbers are in the ratio 3:7 and their sum is 20. If 1 is added to each, what is the new ratio?

  1. 3:7
  2. 7:3
  3. 4:8
  4. 7:15
Answer

D. 7:15 The numbers are 6 and 14. After adding 1: 7:15 = 7:15.

44. If A:B = 6:4 and B:C = 5:7, what is A:C?

  1. 14:15
  2. 15:14
  3. 11:11
  4. 6:7
Answer

B. 15:14 A:C = (A/B) × (B/C) = (6/4) × (5/7) = 30:28 = 15:14.

45. Two numbers are in the ratio 8:2 and their sum is 50. If 4 is added to each, what is the new ratio?

  1. 2:8
  2. 22:7
  3. 8:2
  4. 12:6
Answer

B. 22:7 The numbers are 40 and 10. After adding 4: 44:14 = 22:7.

46. Two numbers are in the ratio 9:7 and their sum is 144. If 7 is added to each, what is the new ratio?

  1. 44:35
  2. 9:7
  3. 16:14
  4. 7:9
Answer

A. 44:35 The numbers are 81 and 63. After adding 7: 88:70 = 44:35.

47. Two numbers are in the ratio 5:4 and their sum is 27. If 9 is added to each, what is the new ratio?

  1. 8:7
  2. 4:5
  3. 5:4
  4. 14:13
Answer

A. 8:7 The numbers are 15 and 12. After adding 9: 24:21 = 8:7.

48. Two numbers are in the ratio 3:9 and their sum is 24. If 6 is added to each, what is the new ratio?

  1. 9:3
  2. 9:15
  3. 3:9
  4. 1:2
Answer

D. 1:2 The numbers are 6 and 18. After adding 6: 12:24 = 1:2.

49. Two numbers are in the ratio 8:2 and their sum is 20. If 7 is added to each, what is the new ratio?

  1. 2:8
  2. 8:2
  3. 23:11
  4. 15:9
Answer

C. 23:11 The numbers are 16 and 4. After adding 7: 23:11 = 23:11.

50. Two numbers are in the ratio 9:3 and their sum is 96. If 7 is added to each, what is the new ratio?

  1. 16:10
  2. 9:3
  3. 3:9
  4. 79:31
Answer

D. 79:31 The numbers are 72 and 24. After adding 7: 79:31 = 79:31.

51. A sum of ₹1554 is divided in the ratio 8:13. What is the first share?

  1. 585
  2. 591
  3. 599
  4. 592
Answer

D. 592 First share = 1554×8/(8+13) = 592.

52. A sum of ₹1060 is divided in the ratio 18:2. What is the first share?

  1. 954
  2. 957
  3. 964
  4. 949
Answer

A. 954 First share = 1060×18/(18+2) = 954.

53. A sum of ₹98 is divided in the ratio 3:4. What is the first share?

  1. 45
  2. 42
  3. 35
  4. 52
Answer

B. 42 First share = 98×3/(3+4) = 42.

54. A sum of ₹1380 is divided in the ratio 7:8. What is the first share?

  1. 647
  2. 644
  3. 654
  4. 651
Answer

B. 644 First share = 1380×7/(7+8) = 644.

55. A sum of ₹1029 is divided in the ratio 17:4. What is the first share?

  1. 826
  2. 833
  3. 843
  4. 835
Answer

B. 833 First share = 1029×17/(17+4) = 833.

56. A sum of ₹2725 is divided in the ratio 14:11. What is the first share?

  1. 1524
  2. 1519
  3. 1536
  4. 1526
Answer

D. 1526 First share = 2725×14/(14+11) = 1526.

57. A sum of ₹256 is divided in the ratio 2:2. What is the first share?

  1. 138
  2. 118
  3. 128
  4. 133
Answer

C. 128 First share = 256×2/(2+2) = 128.

58. A sum of ₹962 is divided in the ratio 6:7. What is the first share?

  1. 449
  2. 444
  3. 454
  4. 451
Answer

B. 444 First share = 962×6/(6+7) = 444.

59. A sum of ₹924 is divided in the ratio 7:4. What is the first share?

  1. 588
  2. 585
  3. 593
  4. 578
Answer

A. 588 First share = 924×7/(7+4) = 588.

60. A sum of ₹1320 is divided in the ratio 12:3. What is the first share?

  1. 1058
  2. 1056
  3. 1054
  4. 1049
Answer

B. 1056 First share = 1320×12/(12+3) = 1056.

61. A sum of ₹72 is divided in the ratio 3:3. What is the first share?

  1. 34
  2. 26
  3. 37
  4. 36
Answer

D. 36 First share = 72×3/(3+3) = 36.

62. A sum of ₹1188 is divided in the ratio 13:9. What is the first share?

  1. 703
  2. 705
  3. 702
  4. 695
Answer

C. 702 First share = 1188×13/(13+9) = 702.

63. Two quantities are in the ratio 24:30. If the first quantity is 384, what is the second?

  1. 440
  2. 483
  3. 480
  4. 450
Answer

C. 480 Multiplier = 384/24 = 16; second = 30 × 16 = 480.

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