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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 593 · 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 9 : 2. There are 18 boys. How many girls are there?
  2. 2.Divide ₹296 between Kabir and Diya in the ratio 7 : 1. How much does Kabir get (in ₹)?
  3. 3.9 : 11 = 36 : ?
  4. 4.Divide ₹54 between Nisha and Diya in the ratio 1 : 2. How much does Diya get (in ₹)?
  5. 5.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  6. 6.Divide ₹605 between Aarav and Arjun in the ratio 2 : 9. How much does Aarav get (in ₹)?
  7. 7.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  8. 8.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  9. 9.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  10. 10.Divide ₹319 between Ishaan and Kabir in the ratio 4 : 7. How much does Ishaan get (in ₹)?
  11. 11.5 : 2 = 35 : ?
  12. 12.4 : 8 = 24 : ?
  13. 13.Divide ₹616 between Ishaan and Manav in the ratio 9 : 2. How much does Manav get (in ₹)?
  14. 14.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  15. 15.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  16. 16.Divide ₹186 between Dev and Aarav in the ratio 5 : 1. How much does Aarav get (in ₹)?
  17. 17.7 : 2 = 63 : ?
  18. 18.Divide ₹300 between Rohan and Manav in the ratio 1 : 9. How much does Rohan get (in ₹)?
  19. 19.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  20. 20.The ratio of boys to girls in a class is 5 : 4. There are 20 boys. How many girls are there?
  21. 21.10 : 8 = 40 : ?
  22. 22.10 : 13 = 60 : ?
  23. 23.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  24. 24.3 : 15 = 27 : ?
  25. 25.Divide ₹212 between Sneha and Isha in the ratio 3 : 1. How much does Sneha get (in ₹)?
  26. 26.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  27. 27.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  28. 28.Divide ₹135 between Diya and Pooja in the ratio 2 : 3. How much does Diya get (in ₹)?
  29. 29.8 : 12 = 24 : ?
  30. 30.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  31. 31.5 : 6 = 30 : ?
  32. 32.12 : 13 = 96 : ?
  33. 33.Divide ₹663 between Rahul and Manav in the ratio 5 : 8. How much does Manav get (in ₹)?
  34. 34.5 : 3 = 15 : ?
  35. 35.Divide ₹425 between Manav and Diya in the ratio 9 : 8. How much does Diya get (in ₹)?
  36. 36.2 : 6 = 8 : ?
  37. 37.12 : 4 = 60 : ?
  38. 38.9 : 4 = 27 : ?
  39. 39.5 : 4 = 10 : ?
  40. 40.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?

Answer key

  1. 4
  2. 259
  3. 44
  4. 36
  5. 80
  6. 110
  7. 72
  8. 32
  9. 48
  10. 116
  11. 14
  12. 48
  13. 112
  14. 20
  15. 4
  16. 31
  17. 18
  18. 30
  19. 81
  20. 16
  21. 32
  22. 78
  23. 50
  24. 135
  25. 159
  26. 54
  27. 36
  28. 54
  29. 36
  30. 27
  31. 36
  32. 104
  33. 408
  34. 9
  35. 200
  36. 24
  37. 20
  38. 12
  39. 8
  40. 20

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