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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 263 · 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 1 : 3. There are 6 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  3. 3.2 : 14 = 8 : ?
  4. 4.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  5. 5.Divide ₹90 between Meera and Priya in the ratio 9 : 1. How much does Meera get (in ₹)?
  6. 6.Divide ₹399 between Dev and Kavya in the ratio 5 : 2. How much does Kavya get (in ₹)?
  7. 7.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  8. 8.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  9. 9.Divide ₹98 between Priya and Saanvi in the ratio 4 : 3. How much does Saanvi get (in ₹)?
  10. 10.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  11. 11.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  12. 12.11 : 6 = 99 : ?
  13. 13.3 : 2 = 21 : ?
  14. 14.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  15. 15.12 : 14 = 84 : ?
  16. 16.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
  19. 19.8 : 7 = 32 : ?
  20. 20.Divide ₹408 between Pooja and Karan in the ratio 7 : 1. How much does Karan get (in ₹)?
  21. 21.Divide ₹210 between Ananya and Pooja in the ratio 4 : 3. How much does Ananya get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  23. 23.Divide ₹495 between Sneha and Saanvi in the ratio 9 : 2. How much does Sneha get (in ₹)?
  24. 24.Divide ₹66 between Manav and Meera in the ratio 5 : 6. How much does Manav get (in ₹)?
  25. 25.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  26. 26.12 : 9 = 48 : ?
  27. 27.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  28. 28.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
  29. 29.Divide ₹216 between Sneha and Ananya in the ratio 5 : 4. How much does Sneha get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  31. 31.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  32. 32.10 : 6 = 90 : ?
  33. 33.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  34. 34.3 : 9 = 27 : ?
  35. 35.Divide ₹688 between Karan and Tara in the ratio 9 : 7. How much does Tara get (in ₹)?
  36. 36.Divide ₹490 between Dev and Saanvi in the ratio 9 : 5. How much does Dev get (in ₹)?
  37. 37.8 : 4 = 56 : ?
  38. 38.Divide ₹210 between Isha and Arjun in the ratio 5 : 9. How much does Isha get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 7 : 6. There are 56 boys. How many girls are there?
  40. 40.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).

Answer key

  1. 18
  2. 18
  3. 56
  4. 20
  5. 81
  6. 114
  7. 48
  8. 63
  9. 42
  10. 100
  11. 48
  12. 54
  13. 14
  14. 27
  15. 98
  16. 10
  17. 70
  18. 48
  19. 28
  20. 51
  21. 120
  22. 36
  23. 405
  24. 30
  25. 144
  26. 36
  27. 36
  28. 80
  29. 120
  30. 6
  31. 81
  32. 54
  33. 80
  34. 81
  35. 301
  36. 315
  37. 28
  38. 75
  39. 48
  40. 32

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