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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 215 · 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.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  2. 2.Divide ₹270 between Vivaan and Ananya in the ratio 2 : 3. How much does Vivaan get (in ₹)?
  3. 3.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  4. 4.The ratio of boys to girls in a class is 9 : 8. There are 54 boys. How many girls are there?
  5. 5.Divide ₹99 between Saanvi and Pooja in the ratio 1 : 2. How much does Pooja get (in ₹)?
  6. 6.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  7. 7.11 : 10 = 88 : ?
  8. 8.6 : 14 = 36 : ?
  9. 9.Divide ₹572 between Rahul and Ishaan in the ratio 6 : 7. How much does Rahul get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 5 : 7. There are 35 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  12. 12.9 : 4 = 36 : ?
  13. 13.Divide ₹95 between Ananya and Tara in the ratio 1 : 4. How much does Ananya get (in ₹)?
  14. 14.11 : 2 = 44 : ?
  15. 15.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  16. 16.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  17. 17.11 : 5 = 66 : ?
  18. 18.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  19. 19.10 : 5 = 50 : ?
  20. 20.8 : 5 = 72 : ?
  21. 21.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  22. 22.Divide ₹144 between Meera and Nisha in the ratio 4 : 5. How much does Nisha get (in ₹)?
  23. 23.Divide ₹672 between Rahul and Kabir in the ratio 7 : 9. How much does Rahul get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  25. 25.Divide ₹363 between Pooja and Vivaan in the ratio 7 : 4. How much does Pooja get (in ₹)?
  26. 26.Divide ₹464 between Saanvi and Vivaan in the ratio 7 : 1. How much does Saanvi get (in ₹)?
  27. 27.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  28. 28.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  30. 30.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  31. 31.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  32. 32.11 : 6 = 33 : ?
  33. 33.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  34. 34.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 7 : 4. There are 49 boys. How many girls are there?
  37. 37.4 : 7 = 12 : ?
  38. 38.12 : 15 = 96 : ?
  39. 39.Divide ₹20 between Saanvi and Ananya in the ratio 3 : 1. How much does Saanvi get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 4 : 1. There are 24 boys. How many girls are there?

Answer key

  1. 200
  2. 108
  3. 81
  4. 48
  5. 66
  6. 175
  7. 80
  8. 84
  9. 264
  10. 49
  11. 36
  12. 16
  13. 19
  14. 8
  15. 32
  16. 12
  17. 30
  18. 50
  19. 25
  20. 45
  21. 27
  22. 80
  23. 294
  24. 10
  25. 231
  26. 406
  27. 32
  28. 90
  29. 14
  30. 144
  31. 12
  32. 18
  33. 96
  34. 21
  35. 30
  36. 28
  37. 21
  38. 120
  39. 15
  40. 6

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