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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 597 · 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.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  2. 2.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  3. 3.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  4. 4.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
  5. 5.Divide ₹24 between Nisha and Priya in the ratio 1 : 3. How much does Nisha get (in ₹)?
  6. 6.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  7. 7.Divide ₹207 between Ishaan and Ananya in the ratio 8 : 1. How much does Ananya get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  9. 9.12 : 4 = 84 : ?
  10. 10.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  11. 11.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  12. 12.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  13. 13.Divide ₹407 between Sneha and Ananya in the ratio 2 : 9. How much does Ananya get (in ₹)?
  14. 14.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  15. 15.Divide ₹36 between Saanvi and Vivaan in the ratio 3 : 1. How much does Vivaan get (in ₹)?
  16. 16.9 : 2 = 81 : ?
  17. 17.2 : 14 = 6 : ?
  18. 18.12 : 13 = 72 : ?
  19. 19.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  20. 20.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 5 : 3. There are 20 boys. How many girls are there?
  22. 22.Divide ₹368 between Diya and Ananya in the ratio 1 : 7. How much does Ananya get (in ₹)?
  23. 23.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  24. 24.Divide ₹54 between Sneha and Rohan in the ratio 8 : 1. How much does Rohan get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  28. 28.Divide ₹56 between Dev and Saanvi in the ratio 1 : 6. How much does Dev get (in ₹)?
  29. 29.Divide ₹76 between Kavya and Ishaan in the ratio 3 : 1. How much does Ishaan get (in ₹)?
  30. 30.Divide ₹240 between Ananya and Ishaan in the ratio 9 : 7. How much does Ananya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 6 : 1. There are 36 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  33. 33.Divide ₹259 between Zoya and Diya in the ratio 5 : 2. How much does Zoya get (in ₹)?
  34. 34.4 : 12 = 24 : ?
  35. 35.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  36. 36.Divide ₹121 between Meera and Kavya in the ratio 6 : 5. How much does Kavya get (in ₹)?
  37. 37.7 : 15 = 21 : ?
  38. 38.Divide ₹81 between Aarav and Saanvi in the ratio 4 : 5. How much does Saanvi get (in ₹)?
  39. 39.2 : 13 = 6 : ?
  40. 40.Divide ₹154 between Rohan and Manav in the ratio 5 : 2. How much does Rohan get (in ₹)?

Answer key

  1. 6
  2. 28
  3. 63
  4. 15
  5. 6
  6. 96
  7. 23
  8. 10
  9. 28
  10. 36
  11. 12
  12. 18
  13. 333
  14. 32
  15. 9
  16. 18
  17. 42
  18. 78
  19. 16
  20. 16
  21. 12
  22. 322
  23. 50
  24. 6
  25. 16
  26. 70
  27. 6
  28. 8
  29. 19
  30. 135
  31. 6
  32. 16
  33. 185
  34. 72
  35. 25
  36. 55
  37. 45
  38. 45
  39. 39
  40. 110

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