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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 777 · 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 ₹117 between Dev and Ananya in the ratio 7 : 6. How much does Ananya get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  3. 3.Divide ₹175 between Pooja and Ishaan in the ratio 4 : 3. How much does Ishaan get (in ₹)?
  4. 4.10 : 5 = 40 : ?
  5. 5.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  6. 6.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  7. 7.Divide ₹245 between Arjun and Pooja in the ratio 6 : 1. How much does Arjun get (in ₹)?
  8. 8.2 : 11 = 10 : ?
  9. 9.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  10. 10.2 : 9 = 10 : ?
  11. 11.2 : 14 = 8 : ?
  12. 12.9 : 2 = 27 : ?
  13. 13.9 : 4 = 36 : ?
  14. 14.Divide ₹75 between Vivaan and Ishaan in the ratio 1 : 4. How much does Ishaan get (in ₹)?
  15. 15.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  16. 16.7 : 14 = 28 : ?
  17. 17.Divide ₹182 between Kavya and Ishaan in the ratio 9 : 5. How much does Kavya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  19. 19.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  20. 20.Divide ₹144 between Dev and Priya in the ratio 8 : 1. How much does Dev get (in ₹)?
  21. 21.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  22. 22.Divide ₹88 between Diya and Saanvi in the ratio 7 : 1. How much does Saanvi get (in ₹)?
  23. 23.10 : 3 = 80 : ?
  24. 24.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  25. 25.4 : 11 = 36 : ?
  26. 26.7 : 6 = 28 : ?
  27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  28. 28.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  29. 29.The ratio of boys to girls in a class is 5 : 8. There are 50 boys. How many girls are there?
  30. 30.Divide ₹176 between Diya and Ishaan in the ratio 7 : 4. How much does Diya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
  32. 32.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  33. 33.Divide ₹76 between Pooja and Rohan in the ratio 3 : 1. How much does Pooja get (in ₹)?
  34. 34.10 : 7 = 60 : ?
  35. 35.8 : 14 = 32 : ?
  36. 36.6 : 14 = 36 : ?
  37. 37.Divide ₹100 between Farhan and Arjun in the ratio 1 : 9. How much does Farhan get (in ₹)?
  38. 38.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  39. 39.11 : 9 = 44 : ?
  40. 40.The ratio of boys to girls in a class is 9 : 4. There are 63 boys. How many girls are there?

Answer key

  1. 54
  2. 4
  3. 75
  4. 20
  5. 63
  6. 36
  7. 210
  8. 55
  9. 175
  10. 45
  11. 56
  12. 6
  13. 16
  14. 60
  15. 48
  16. 56
  17. 117
  18. 2
  19. 225
  20. 128
  21. 81
  22. 11
  23. 24
  24. 8
  25. 99
  26. 24
  27. 32
  28. 200
  29. 80
  30. 112
  31. 6
  32. 128
  33. 57
  34. 42
  35. 56
  36. 84
  37. 10
  38. 12
  39. 36
  40. 28

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