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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 957 · 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 ₹60 between Kabir and Rahul in the ratio 9 : 1. How much does Kabir get (in ₹)?
  2. 2.7 : 8 = 14 : ?
  3. 3.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  4. 4.3 : 15 = 12 : ?
  5. 5.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  6. 6.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  7. 7.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  8. 8.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  9. 9.4 : 5 = 12 : ?
  10. 10.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  11. 11.11 : 3 = 77 : ?
  12. 12.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  13. 13.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  14. 14.6 : 5 = 24 : ?
  15. 15.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  16. 16.4 : 9 = 32 : ?
  17. 17.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  18. 18.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  19. 19.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?
  20. 20.10 : 15 = 40 : ?
  21. 21.2 : 10 = 12 : ?
  22. 22.Divide ₹552 between Vivaan and Tara in the ratio 5 : 7. How much does Tara get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  25. 25.5 : 14 = 20 : ?
  26. 26.5 : 8 = 40 : ?
  27. 27.12 : 4 = 24 : ?
  28. 28.10 : 7 = 30 : ?
  29. 29.10 : 13 = 70 : ?
  30. 30.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  31. 31.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  32. 32.Divide ₹35 between Arjun and Saanvi in the ratio 3 : 2. How much does Saanvi get (in ₹)?
  33. 33.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  34. 34.3 : 6 = 6 : ?
  35. 35.5 : 9 = 20 : ?
  36. 36.Divide ₹135 between Saanvi and Kabir in the ratio 1 : 2. How much does Kabir get (in ₹)?
  37. 37.8 : 12 = 56 : ?
  38. 38.Divide ₹702 between Farhan and Arjun in the ratio 7 : 6. How much does Arjun get (in ₹)?
  39. 39.Divide ₹374 between Pooja and Rahul in the ratio 4 : 7. How much does Pooja get (in ₹)?
  40. 40.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).

Answer key

  1. 54
  2. 16
  3. 36
  4. 60
  5. 5
  6. 80
  7. 96
  8. 35
  9. 15
  10. 24
  11. 21
  12. 15
  13. 32
  14. 20
  15. 10
  16. 72
  17. 54
  18. 16
  19. 40
  20. 60
  21. 60
  22. 322
  23. 2
  24. 42
  25. 56
  26. 64
  27. 8
  28. 21
  29. 91
  30. 63
  31. 81
  32. 14
  33. 12
  34. 12
  35. 36
  36. 90
  37. 84
  38. 324
  39. 136
  40. 32

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