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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 548 · 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. 1.11 : 4 = 99 : ?
  2. 2.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  3. 3.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  4. 4.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  5. 5.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  6. 6.2 : 6 = 8 : ?
  7. 7.5 : 14 = 20 : ?
  8. 8.Divide ₹594 between Aarav and Saanvi in the ratio 5 : 6. How much does Saanvi get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  10. 10.Divide ₹171 between Kavya and Ananya in the ratio 1 : 2. How much does Ananya get (in ₹)?
  11. 11.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  12. 12.Divide ₹119 between Pooja and Kavya in the ratio 5 : 2. How much does Pooja get (in ₹)?
  13. 13.12 : 14 = 36 : ?
  14. 14.Divide ₹66 between Meera and Farhan in the ratio 5 : 1. How much does Meera get (in ₹)?
  15. 15.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  16. 16.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  17. 17.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  18. 18.8 : 13 = 48 : ?
  19. 19.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  20. 20.9 : 5 = 72 : ?
  21. 21.8 : 15 = 16 : ?
  22. 22.Divide ₹156 between Karan and Ananya in the ratio 3 : 1. How much does Karan get (in ₹)?
  23. 23.Divide ₹247 between Manav and Pooja in the ratio 7 : 6. How much does Manav get (in ₹)?
  24. 24.Divide ₹390 between Ananya and Manav in the ratio 8 : 7. How much does Manav get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  26. 26.3 : 4 = 6 : ?
  27. 27.Divide ₹228 between Diya and Sneha in the ratio 7 : 5. How much does Diya get (in ₹)?
  28. 28.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  29. 29.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  30. 30.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  31. 31.Divide ₹540 between Rahul and Manav in the ratio 8 : 7. How much does Rahul get (in ₹)?
  32. 32.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  33. 33.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
  34. 34.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  35. 35.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?
  36. 36.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  37. 37.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  38. 38.Divide ₹850 between Priya and Rahul in the ratio 9 : 8. How much does Priya get (in ₹)?
  39. 39.Divide ₹135 between Ananya and Aditya in the ratio 2 : 7. How much does Ananya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?

Answer key

  1. 36
  2. 80
  3. 14
  4. 32
  5. 32
  6. 24
  7. 56
  8. 324
  9. 21
  10. 114
  11. 48
  12. 85
  13. 42
  14. 55
  15. 27
  16. 72
  17. 4
  18. 78
  19. 25
  20. 40
  21. 30
  22. 117
  23. 133
  24. 182
  25. 16
  26. 8
  27. 133
  28. 20
  29. 8
  30. 35
  31. 288
  32. 125
  33. 63
  34. 50
  35. 70
  36. 81
  37. 50
  38. 450
  39. 30
  40. 36

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