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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 841 · 40 questions
TalentJR

The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹182 between Diya and Kabir in the ratio 6 : 1. How much does Diya get (in ₹)?
  2. 2.2 : 7 = 4 : ?
  3. 3.Divide ₹210 between Nisha and Aarav in the ratio 1 : 5. How much does Nisha get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  6. 6.10 : 8 = 90 : ?
  7. 7.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  8. 8.9 : 13 = 81 : ?
  9. 9.6 : 9 = 12 : ?
  10. 10.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  12. 12.9 : 3 = 36 : ?
  13. 13.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  14. 14.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  15. 15.Divide ₹550 between Sneha and Manav in the ratio 9 : 1. How much does Manav get (in ₹)?
  16. 16.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  17. 17.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  18. 18.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  19. 19.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  20. 20.6 : 14 = 54 : ?
  21. 21.5 : 4 = 10 : ?
  22. 22.Divide ₹364 between Aarav and Kavya in the ratio 5 : 8. How much does Aarav get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  24. 24.3 : 5 = 21 : ?
  25. 25.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  26. 26.4 : 11 = 12 : ?
  27. 27.Divide ₹150 between Diya and Priya in the ratio 5 : 1. How much does Priya get (in ₹)?
  28. 28.Divide ₹765 between Diya and Farhan in the ratio 8 : 9. How much does Farhan get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  30. 30.Divide ₹55 between Aarav and Isha in the ratio 1 : 4. How much does Aarav get (in ₹)?
  31. 31.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  32. 32.3 : 9 = 18 : ?
  33. 33.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  34. 34.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  35. 35.Divide ₹351 between Sneha and Ananya in the ratio 2 : 7. How much does Ananya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?
  37. 37.Divide ₹60 between Nisha and Dev in the ratio 5 : 7. How much does Dev get (in ₹)?
  38. 38.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  39. 39.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  40. 40.Divide ₹138 between Priya and Dev in the ratio 2 : 1. How much does Priya get (in ₹)?

Answer key

  1. 156
  2. 14
  3. 35
  4. 5
  5. 18
  6. 72
  7. 18
  8. 117
  9. 18
  10. 15
  11. 7
  12. 12
  13. 18
  14. 96
  15. 55
  16. 50
  17. 4
  18. 75
  19. 200
  20. 126
  21. 8
  22. 140
  23. 32
  24. 35
  25. 6
  26. 33
  27. 25
  28. 405
  29. 24
  30. 11
  31. 64
  32. 54
  33. 36
  34. 3
  35. 273
  36. 21
  37. 35
  38. 81
  39. 112
  40. 92

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