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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 400 · 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. 1.4 : 7 = 16 : ?
  2. 2.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  3. 3.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
  4. 4.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  5. 5.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  6. 6.3 : 7 = 18 : ?
  7. 7.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  8. 8.Divide ₹156 between Farhan and Ishaan in the ratio 7 : 5. How much does Ishaan get (in ₹)?
  9. 9.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  10. 10.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  11. 11.Divide ₹435 between Ishaan and Aditya in the ratio 8 : 7. How much does Aditya get (in ₹)?
  12. 12.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  13. 13.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  14. 14.The ratio of boys to girls in a class is 5 : 9. There are 25 boys. How many girls are there?
  15. 15.Divide ₹91 between Sneha and Kabir in the ratio 4 : 3. How much does Sneha get (in ₹)?
  16. 16.6 : 4 = 24 : ?
  17. 17.Divide ₹136 between Manav and Saanvi in the ratio 3 : 1. How much does Saanvi get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  20. 20.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  21. 21.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  23. 23.Divide ₹270 between Dev and Farhan in the ratio 2 : 7. How much does Farhan get (in ₹)?
  24. 24.Divide ₹360 between Saanvi and Sneha in the ratio 7 : 8. How much does Saanvi get (in ₹)?
  25. 25.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  26. 26.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  28. 28.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
  30. 30.5 : 2 = 20 : ?
  31. 31.Divide ₹650 between Pooja and Arjun in the ratio 7 : 6. How much does Pooja get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  33. 33.10 : 15 = 60 : ?
  34. 34.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  35. 35.Divide ₹544 between Rohan and Karan in the ratio 7 : 9. How much does Rohan get (in ₹)?
  36. 36.Divide ₹160 between Meera and Manav in the ratio 1 : 9. How much does Meera get (in ₹)?
  37. 37.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  38. 38.7 : 15 = 42 : ?
  39. 39.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  40. 40.Divide ₹588 between Kabir and Sneha in the ratio 5 : 9. How much does Sneha get (in ₹)?

Answer key

  1. 28
  2. 20
  3. 64
  4. 48
  5. 16
  6. 42
  7. 54
  8. 65
  9. 50
  10. 225
  11. 203
  12. 8
  13. 27
  14. 45
  15. 52
  16. 16
  17. 34
  18. 49
  19. 8
  20. 24
  21. 90
  22. 40
  23. 210
  24. 168
  25. 100
  26. 125
  27. 32
  28. 10
  29. 35
  30. 8
  31. 350
  32. 12
  33. 90
  34. 200
  35. 238
  36. 16
  37. 36
  38. 90
  39. 32
  40. 378

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