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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 802 · 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 ₹25 between Zoya and Kavya in the ratio 2 : 3. How much does Kavya get (in ₹)?
  2. 2.2 : 15 = 4 : ?
  3. 3.The ratio of boys to girls in a class is 7 : 4. There are 49 boys. How many girls are there?
  4. 4.7 : 11 = 42 : ?
  5. 5.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  7. 7.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  8. 8.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
  9. 9.6 : 13 = 54 : ?
  10. 10.Divide ₹602 between Pooja and Kavya in the ratio 5 : 9. How much does Kavya get (in ₹)?
  11. 11.Divide ₹240 between Diya and Kavya in the ratio 7 : 8. How much does Diya get (in ₹)?
  12. 12.2 : 7 = 6 : ?
  13. 13.3 : 12 = 6 : ?
  14. 14.Divide ₹407 between Dev and Saanvi in the ratio 9 : 2. How much does Dev get (in ₹)?
  15. 15.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  16. 16.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  17. 17.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  18. 18.4 : 13 = 36 : ?
  19. 19.4 : 11 = 32 : ?
  20. 20.Divide ₹144 between Aditya and Tara in the ratio 1 : 2. How much does Aditya get (in ₹)?
  21. 21.9 : 4 = 27 : ?
  22. 22.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  23. 23.5 : 15 = 40 : ?
  24. 24.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  25. 25.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  26. 26.Divide ₹320 between Saanvi and Kabir in the ratio 9 : 1. How much does Saanvi get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  28. 28.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  29. 29.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  30. 30.9 : 7 = 36 : ?
  31. 31.2 : 7 = 8 : ?
  32. 32.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  33. 33.6 : 8 = 48 : ?
  34. 34.3 : 13 = 15 : ?
  35. 35.Divide ₹672 between Tara and Kavya in the ratio 5 : 7. How much does Tara get (in ₹)?
  36. 36.Divide ₹153 between Ananya and Meera in the ratio 2 : 1. How much does Ananya get (in ₹)?
  37. 37.Divide ₹187 between Diya and Sneha in the ratio 9 : 2. How much does Sneha get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
  40. 40.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).

Answer key

  1. 15
  2. 30
  3. 28
  4. 66
  5. 4
  6. 27
  7. 54
  8. 10
  9. 117
  10. 387
  11. 112
  12. 21
  13. 24
  14. 333
  15. 150
  16. 25
  17. 12
  18. 117
  19. 88
  20. 48
  21. 12
  22. 125
  23. 120
  24. 75
  25. 96
  26. 288
  27. 32
  28. 64
  29. 36
  30. 28
  31. 28
  32. 36
  33. 64
  34. 65
  35. 280
  36. 102
  37. 34
  38. 6
  39. 36
  40. 27

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