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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 620 · 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. 1.6 : 11 = 24 : ?
  2. 2.8 : 6 = 48 : ?
  3. 3.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  4. 4.4 : 7 = 28 : ?
  5. 5.Divide ₹210 between Isha and Rohan in the ratio 7 : 3. How much does Isha get (in ₹)?
  6. 6.Divide ₹578 between Priya and Sneha in the ratio 9 : 8. How much does Sneha get (in ₹)?
  7. 7.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  8. 8.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  9. 9.Divide ₹126 between Kabir and Pooja in the ratio 1 : 8. How much does Kabir get (in ₹)?
  10. 10.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  11. 11.Divide ₹494 between Farhan and Vivaan in the ratio 4 : 9. How much does Farhan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  13. 13.5 : 2 = 40 : ?
  14. 14.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  15. 15.11 : 10 = 22 : ?
  16. 16.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  17. 17.Divide ₹486 between Priya and Diya in the ratio 1 : 8. How much does Diya get (in ₹)?
  18. 18.Divide ₹660 between Dev and Ishaan in the ratio 7 : 4. How much does Dev get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  20. 20.10 : 9 = 70 : ?
  21. 21.Divide ₹57 between Farhan and Nisha in the ratio 1 : 2. How much does Nisha get (in ₹)?
  22. 22.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  23. 23.Divide ₹96 between Isha and Rahul in the ratio 2 : 1. How much does Isha get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?
  26. 26.10 : 11 = 20 : ?
  27. 27.2 : 9 = 4 : ?
  28. 28.11 : 9 = 99 : ?
  29. 29.4 : 15 = 8 : ?
  30. 30.Divide ₹100 between Dev and Nisha in the ratio 7 : 3. How much does Dev get (in ₹)?
  31. 31.Divide ₹72 between Arjun and Kavya in the ratio 3 : 5. How much does Arjun get (in ₹)?
  32. 32.12 : 9 = 108 : ?
  33. 33.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  34. 34.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  35. 35.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  36. 36.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  37. 37.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  38. 38.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  39. 39.7 : 10 = 35 : ?
  40. 40.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).

Answer key

  1. 44
  2. 36
  3. 9
  4. 49
  5. 147
  6. 272
  7. 128
  8. 16
  9. 14
  10. 8
  11. 152
  12. 20
  13. 16
  14. 21
  15. 20
  16. 9
  17. 432
  18. 420
  19. 72
  20. 63
  21. 38
  22. 32
  23. 64
  24. 12
  25. 56
  26. 22
  27. 18
  28. 81
  29. 30
  30. 70
  31. 27
  32. 81
  33. 36
  34. 48
  35. 63
  36. 54
  37. 64
  38. 12
  39. 50
  40. 32

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