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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 241 · 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).

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  1. 1.Divide ₹385 between Farhan and Kabir in the ratio 2 : 5. How much does Farhan get (in ₹)?
  2. 2.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  3. 3.10 : 3 = 50 : ?
  4. 4.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  5. 5.Divide ₹644 between Manav and Nisha in the ratio 9 : 5. How much does Nisha get (in ₹)?
  6. 6.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  7. 7.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  8. 8.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  9. 9.3 : 4 = 15 : ?
  10. 10.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  11. 11.12 : 11 = 36 : ?
  12. 12.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  13. 13.12 : 7 = 72 : ?
  14. 14.Divide ₹60 between Meera and Vivaan in the ratio 2 : 3. How much does Meera get (in ₹)?
  15. 15.Divide ₹406 between Nisha and Farhan in the ratio 6 : 1. How much does Nisha get (in ₹)?
  16. 16.9 : 2 = 63 : ?
  17. 17.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  18. 18.8 : 10 = 48 : ?
  19. 19.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  20. 20.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  21. 21.8 : 6 = 32 : ?
  22. 22.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  23. 23.2 : 5 = 4 : ?
  24. 24.The ratio of boys to girls in a class is 7 : 5. There are 49 boys. How many girls are there?
  25. 25.8 : 2 = 64 : ?
  26. 26.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  27. 27.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  28. 28.6 : 9 = 12 : ?
  29. 29.7 : 13 = 63 : ?
  30. 30.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  31. 31.Divide ₹384 between Saanvi and Rohan in the ratio 5 : 7. How much does Saanvi get (in ₹)?
  32. 32.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  33. 33.5 : 4 = 15 : ?
  34. 34.12 : 11 = 24 : ?
  35. 35.5 : 14 = 20 : ?
  36. 36.The ratio of boys to girls in a class is 2 : 9. There are 14 boys. How many girls are there?
  37. 37.Divide ₹342 between Aarav and Kabir in the ratio 5 : 1. How much does Aarav get (in ₹)?
  38. 38.7 : 5 = 14 : ?
  39. 39.Divide ₹210 between Kabir and Diya in the ratio 4 : 1. How much does Kabir get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?

Answer key

  1. 110
  2. 27
  3. 15
  4. 18
  5. 230
  6. 64
  7. 50
  8. 24
  9. 20
  10. 12
  11. 33
  12. 10
  13. 42
  14. 24
  15. 348
  16. 14
  17. 21
  18. 60
  19. 100
  20. 12
  21. 24
  22. 14
  23. 10
  24. 35
  25. 16
  26. 16
  27. 72
  28. 18
  29. 117
  30. 20
  31. 160
  32. 28
  33. 12
  34. 22
  35. 56
  36. 63
  37. 285
  38. 10
  39. 168
  40. 36

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