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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 730 · 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 6 : 7. There are 48 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
  3. 3.Divide ₹360 between Aarav and Arjun in the ratio 1 : 7. How much does Aarav get (in ₹)?
  4. 4.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  5. 5.Divide ₹160 between Tara and Aarav in the ratio 9 : 7. How much does Tara get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
  8. 8.Divide ₹396 between Kabir and Kavya in the ratio 2 : 7. How much does Kabir get (in ₹)?
  9. 9.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  10. 10.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  11. 11.8 : 12 = 16 : ?
  12. 12.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  13. 13.11 : 3 = 33 : ?
  14. 14.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  15. 15.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  16. 16.Divide ₹399 between Arjun and Tara in the ratio 4 : 3. How much does Tara get (in ₹)?
  17. 17.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  18. 18.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  19. 19.Divide ₹35 between Vivaan and Diya in the ratio 5 : 2. How much does Diya get (in ₹)?
  20. 20.6 : 10 = 12 : ?
  21. 21.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  22. 22.Divide ₹100 between Diya and Priya in the ratio 9 : 1. How much does Priya get (in ₹)?
  23. 23.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  24. 24.The ratio of boys to girls in a class is 5 : 8. There are 35 boys. How many girls are there?
  25. 25.5 : 4 = 25 : ?
  26. 26.The ratio of boys to girls in a class is 3 : 5. There are 18 boys. How many girls are there?
  27. 27.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  28. 28.10 : 6 = 30 : ?
  29. 29.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  30. 30.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  31. 31.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  32. 32.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  33. 33.6 : 4 = 48 : ?
  34. 34.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  35. 35.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  36. 36.Divide ₹360 between Manav and Diya in the ratio 1 : 9. How much does Diya get (in ₹)?
  37. 37.5 : 3 = 25 : ?
  38. 38.6 : 4 = 24 : ?
  39. 39.6 : 11 = 18 : ?
  40. 40.Divide ₹408 between Priya and Sneha in the ratio 7 : 5. How much does Sneha get (in ₹)?

Answer key

  1. 56
  2. 15
  3. 45
  4. 28
  5. 90
  6. 35
  7. 28
  8. 88
  9. 54
  10. 4
  11. 24
  12. 48
  13. 9
  14. 80
  15. 75
  16. 171
  17. 64
  18. 72
  19. 10
  20. 20
  21. 63
  22. 10
  23. 12
  24. 56
  25. 20
  26. 30
  27. 96
  28. 18
  29. 175
  30. 4
  31. 36
  32. 14
  33. 32
  34. 32
  35. 20
  36. 324
  37. 15
  38. 16
  39. 33
  40. 170

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