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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 484 · 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 ₹279 between Ananya and Meera in the ratio 7 : 2. How much does Meera get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
  3. 3.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  4. 4.Divide ₹371 between Rahul and Manav in the ratio 3 : 4. How much does Manav get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 5 : 9. There are 35 boys. How many girls are there?
  6. 6.4 : 15 = 24 : ?
  7. 7.2 : 5 = 10 : ?
  8. 8.9 : 6 = 45 : ?
  9. 9.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  10. 10.4 : 9 = 8 : ?
  11. 11.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  12. 12.Divide ₹510 between Aarav and Tara in the ratio 3 : 7. How much does Tara get (in ₹)?
  13. 13.Divide ₹459 between Rahul and Sneha in the ratio 7 : 2. How much does Rahul get (in ₹)?
  14. 14.3 : 4 = 18 : ?
  15. 15.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  17. 17.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  18. 18.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  19. 19.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  20. 20.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  21. 21.9 : 12 = 18 : ?
  22. 22.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 7 : 4. There are 49 boys. How many girls are there?
  24. 24.Divide ₹85 between Aarav and Aditya in the ratio 3 : 2. How much does Aditya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  26. 26.Divide ₹540 between Pooja and Meera in the ratio 7 : 5. How much does Meera get (in ₹)?
  27. 27.Divide ₹220 between Rahul and Rohan in the ratio 2 : 9. How much does Rahul get (in ₹)?
  28. 28.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  29. 29.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  30. 30.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  31. 31.Divide ₹330 between Manav and Saanvi in the ratio 8 : 3. How much does Saanvi get (in ₹)?
  32. 32.2 : 10 = 4 : ?
  33. 33.12 : 14 = 72 : ?
  34. 34.Divide ₹169 between Rohan and Ananya in the ratio 5 : 8. How much does Rohan get (in ₹)?
  35. 35.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  36. 36.8 : 3 = 56 : ?
  37. 37.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  39. 39.Divide ₹728 between Ananya and Zoya in the ratio 5 : 9. How much does Zoya get (in ₹)?
  40. 40.7 : 15 = 14 : ?

Answer key

  1. 62
  2. 40
  3. 27
  4. 212
  5. 63
  6. 90
  7. 25
  8. 30
  9. 100
  10. 18
  11. 4
  12. 357
  13. 357
  14. 24
  15. 10
  16. 35
  17. 36
  18. 50
  19. 12
  20. 72
  21. 24
  22. 63
  23. 28
  24. 34
  25. 90
  26. 225
  27. 40
  28. 24
  29. 81
  30. 225
  31. 90
  32. 20
  33. 84
  34. 65
  35. 48
  36. 21
  37. 20
  38. 30
  39. 468
  40. 30

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