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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 789 · 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).

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  1. 1.Divide ₹120 between Sneha and Diya in the ratio 3 : 1. How much does Diya get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  3. 3.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  4. 4.Divide ₹49 between Tara and Diya in the ratio 2 : 5. How much does Diya get (in ₹)?
  5. 5.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  6. 6.8 : 4 = 24 : ?
  7. 7.12 : 3 = 48 : ?
  8. 8.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  9. 9.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  10. 10.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  11. 11.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  12. 12.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  13. 13.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  14. 14.Divide ₹180 between Nisha and Kavya in the ratio 7 : 2. How much does Nisha get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  17. 17.Divide ₹390 between Pooja and Isha in the ratio 1 : 9. How much does Isha get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  19. 19.8 : 4 = 16 : ?
  20. 20.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  21. 21.Divide ₹76 between Meera and Saanvi in the ratio 1 : 3. How much does Saanvi get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
  24. 24.5 : 2 = 25 : ?
  25. 25.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  26. 26.9 : 13 = 72 : ?
  27. 27.8 : 10 = 56 : ?
  28. 28.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 7 : 6. There are 56 boys. How many girls are there?
  30. 30.5 : 13 = 15 : ?
  31. 31.4 : 5 = 8 : ?
  32. 32.Divide ₹102 between Rahul and Diya in the ratio 8 : 9. How much does Rahul get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  34. 34.Divide ₹583 between Tara and Farhan in the ratio 9 : 2. How much does Farhan get (in ₹)?
  35. 35.9 : 13 = 36 : ?
  36. 36.The ratio of boys to girls in a class is 3 : 8. There are 27 boys. How many girls are there?
  37. 37.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  38. 38.2 : 12 = 14 : ?
  39. 39.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  40. 40.Divide ₹676 between Arjun and Ananya in the ratio 4 : 9. How much does Arjun get (in ₹)?

Answer key

  1. 30
  2. 40
  3. 112
  4. 35
  5. 128
  6. 12
  7. 12
  8. 4
  9. 225
  10. 50
  11. 49
  12. 8
  13. 5
  14. 140
  15. 24
  16. 24
  17. 351
  18. 6
  19. 8
  20. 25
  21. 57
  22. 40
  23. 10
  24. 10
  25. 75
  26. 104
  27. 70
  28. 7
  29. 48
  30. 39
  31. 10
  32. 48
  33. 14
  34. 106
  35. 52
  36. 72
  37. 200
  38. 84
  39. 48
  40. 208

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