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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 335 · 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.Divide ₹264 between Arjun and Rahul in the ratio 2 : 9. How much does Rahul get (in ₹)?
  2. 2.5 : 6 = 30 : ?
  3. 3.Divide ₹308 between Diya and Sneha in the ratio 3 : 8. How much does Sneha get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  5. 5.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  6. 6.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  7. 7.Divide ₹63 between Saanvi and Pooja in the ratio 2 : 5. How much does Pooja get (in ₹)?
  8. 8.5 : 14 = 15 : ?
  9. 9.Divide ₹440 between Sneha and Kavya in the ratio 4 : 7. How much does Sneha get (in ₹)?
  10. 10.9 : 5 = 81 : ?
  11. 11.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  12. 12.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  13. 13.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  14. 14.3 : 13 = 27 : ?
  15. 15.12 : 3 = 96 : ?
  16. 16.3 : 12 = 27 : ?
  17. 17.Divide ₹105 between Rahul and Manav in the ratio 6 : 1. How much does Rahul get (in ₹)?
  18. 18.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  19. 19.9 : 6 = 18 : ?
  20. 20.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  21. 21.7 : 6 = 35 : ?
  22. 22.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  23. 23.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  24. 24.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  25. 25.Divide ₹468 between Nisha and Aarav in the ratio 8 : 1. How much does Nisha get (in ₹)?
  26. 26.3 : 7 = 21 : ?
  27. 27.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  28. 28.4 : 9 = 8 : ?
  29. 29.The ratio of boys to girls in a class is 8 : 7. There are 56 boys. How many girls are there?
  30. 30.4 : 15 = 28 : ?
  31. 31.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  32. 32.Divide ₹117 between Pooja and Isha in the ratio 8 : 5. How much does Pooja get (in ₹)?
  33. 33.Divide ₹220 between Sneha and Nisha in the ratio 4 : 7. How much does Sneha get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  35. 35.Divide ₹156 between Dev and Karan in the ratio 1 : 3. How much does Dev get (in ₹)?
  36. 36.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  37. 37.7 : 2 = 42 : ?
  38. 38.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  39. 39.2 : 8 = 6 : ?
  40. 40.9 : 2 = 27 : ?

Answer key

  1. 216
  2. 36
  3. 224
  4. 14
  5. 20
  6. 54
  7. 45
  8. 42
  9. 160
  10. 45
  11. 63
  12. 10
  13. 75
  14. 117
  15. 24
  16. 108
  17. 90
  18. 96
  19. 12
  20. 72
  21. 30
  22. 6
  23. 32
  24. 8
  25. 416
  26. 49
  27. 24
  28. 18
  29. 49
  30. 105
  31. 25
  32. 72
  33. 80
  34. 9
  35. 39
  36. 200
  37. 12
  38. 21
  39. 24
  40. 6

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