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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 245 · 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.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  2. 2.Divide ₹442 between Meera and Nisha in the ratio 4 : 9. How much does Meera get (in ₹)?
  3. 3.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  4. 4.Divide ₹36 between Zoya and Manav in the ratio 2 : 1. How much does Manav get (in ₹)?
  5. 5.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  6. 6.10 : 14 = 30 : ?
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.The ratio of boys to girls in a class is 6 : 5. There are 30 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  10. 10.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  11. 11.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  13. 13.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  14. 14.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  15. 15.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  16. 16.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  17. 17.Divide ₹225 between Manav and Sneha in the ratio 1 : 8. How much does Manav get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  20. 20.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  21. 21.Divide ₹416 between Ananya and Sneha in the ratio 5 : 3. How much does Ananya get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  23. 23.12 : 3 = 24 : ?
  24. 24.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  25. 25.4 : 5 = 32 : ?
  26. 26.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  27. 27.9 : 5 = 63 : ?
  28. 28.Divide ₹240 between Vivaan and Farhan in the ratio 5 : 7. How much does Farhan get (in ₹)?
  29. 29.2 : 8 = 6 : ?
  30. 30.10 : 11 = 80 : ?
  31. 31.Divide ₹57 between Nisha and Tara in the ratio 1 : 2. How much does Nisha get (in ₹)?
  32. 32.3 : 10 = 15 : ?
  33. 33.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  34. 34.Divide ₹432 between Priya and Diya in the ratio 1 : 7. How much does Priya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 1 : 8. There are 9 boys. How many girls are there?
  36. 36.Divide ₹42 between Rohan and Karan in the ratio 2 : 1. How much does Rohan get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  38. 38.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  39. 39.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  40. 40.Divide ₹315 between Kabir and Farhan in the ratio 3 : 4. How much does Farhan get (in ₹)?

Answer key

  1. 24
  2. 136
  3. 48
  4. 12
  5. 225
  6. 42
  7. 8
  8. 25
  9. 10
  10. 12
  11. 10
  12. 12
  13. 80
  14. 50
  15. 112
  16. 24
  17. 25
  18. 72
  19. 16
  20. 128
  21. 260
  22. 7
  23. 6
  24. 12
  25. 40
  26. 175
  27. 35
  28. 140
  29. 24
  30. 88
  31. 19
  32. 50
  33. 63
  34. 54
  35. 72
  36. 28
  37. 14
  38. 125
  39. 28
  40. 180

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