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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 492 · 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 ₹256 between Isha and Vivaan in the ratio 3 : 5. How much does Vivaan get (in ₹)?
  2. 2.8 : 10 = 32 : ?
  3. 3.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  4. 4.9 : 2 = 27 : ?
  5. 5.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  6. 6.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  7. 7.Divide ₹473 between Priya and Rahul in the ratio 6 : 5. How much does Priya get (in ₹)?
  8. 8.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  9. 9.Divide ₹135 between Saanvi and Vivaan in the ratio 2 : 3. How much does Vivaan get (in ₹)?
  10. 10.5 : 9 = 15 : ?
  11. 11.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  12. 12.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  14. 14.Divide ₹363 between Vivaan and Manav in the ratio 3 : 8. How much does Manav get (in ₹)?
  15. 15.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  16. 16.2 : 5 = 16 : ?
  17. 17.Divide ₹132 between Aditya and Vivaan in the ratio 1 : 3. How much does Vivaan get (in ₹)?
  18. 18.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  19. 19.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  20. 20.3 : 14 = 12 : ?
  21. 21.Divide ₹114 between Rohan and Vivaan in the ratio 1 : 5. How much does Vivaan get (in ₹)?
  22. 22.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  23. 23.2 : 4 = 18 : ?
  24. 24.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  26. 26.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  27. 27.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  28. 28.Divide ₹533 between Saanvi and Rohan in the ratio 9 : 4. How much does Saanvi get (in ₹)?
  29. 29.7 : 4 = 56 : ?
  30. 30.10 : 12 = 60 : ?
  31. 31.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  32. 32.11 : 2 = 77 : ?
  33. 33.3 : 7 = 15 : ?
  34. 34.11 : 8 = 44 : ?
  35. 35.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  37. 37.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  38. 38.Divide ₹126 between Priya and Ananya in the ratio 9 : 5. How much does Priya get (in ₹)?
  39. 39.Divide ₹24 between Dev and Sneha in the ratio 3 : 1. How much does Sneha get (in ₹)?
  40. 40.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).

Answer key

  1. 160
  2. 40
  3. 24
  4. 6
  5. 128
  6. 54
  7. 258
  8. 64
  9. 81
  10. 27
  11. 20
  12. 7
  13. 56
  14. 264
  15. 24
  16. 40
  17. 99
  18. 75
  19. 28
  20. 56
  21. 95
  22. 100
  23. 36
  24. 40
  25. 21
  26. 175
  27. 225
  28. 369
  29. 32
  30. 72
  31. 12
  32. 14
  33. 35
  34. 32
  35. 18
  36. 7
  37. 125
  38. 81
  39. 6
  40. 36

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