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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 321 · 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 ₹935 between Diya and Meera in the ratio 9 : 8. How much does Meera get (in ₹)?
  2. 2.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  3. 3.Divide ₹36 between Farhan and Arjun in the ratio 2 : 1. How much does Farhan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  5. 5.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  6. 6.Divide ₹234 between Arjun and Zoya in the ratio 2 : 7. How much does Zoya get (in ₹)?
  7. 7.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  8. 8.Divide ₹25 between Manav and Ishaan in the ratio 1 : 4. How much does Manav get (in ₹)?
  9. 9.2 : 14 = 4 : ?
  10. 10.Divide ₹696 between Rohan and Farhan in the ratio 5 : 7. How much does Rohan get (in ₹)?
  11. 11.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  12. 12.8 : 13 = 40 : ?
  13. 13.4 : 9 = 36 : ?
  14. 14.Divide ₹784 between Saanvi and Vivaan in the ratio 5 : 9. How much does Saanvi get (in ₹)?
  15. 15.Divide ₹345 between Vivaan and Nisha in the ratio 7 : 8. How much does Nisha get (in ₹)?
  16. 16.10 : 12 = 20 : ?
  17. 17.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  18. 18.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  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.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  21. 21.Divide ₹231 between Ananya and Rohan in the ratio 2 : 5. How much does Rohan get (in ₹)?
  22. 22.Divide ₹378 between Priya and Diya in the ratio 9 : 5. How much does Diya get (in ₹)?
  23. 23.3 : 14 = 6 : ?
  24. 24.9 : 13 = 18 : ?
  25. 25.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  26. 26.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  28. 28.7 : 10 = 63 : ?
  29. 29.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  30. 30.Divide ₹495 between Kabir and Farhan in the ratio 2 : 9. How much does Kabir get (in ₹)?
  31. 31.2 : 15 = 14 : ?
  32. 32.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  33. 33.9 : 2 = 36 : ?
  34. 34.Divide ₹135 between Diya and Meera in the ratio 7 : 8. How much does Diya get (in ₹)?
  35. 35.Divide ₹56 between Rahul and Meera in the ratio 1 : 6. How much does Rahul get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
  37. 37.8 : 6 = 64 : ?
  38. 38.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  39. 39.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  40. 40.Divide ₹196 between Ananya and Ishaan in the ratio 6 : 1. How much does Ananya get (in ₹)?

Answer key

  1. 440
  2. 200
  3. 24
  4. 24
  5. 48
  6. 182
  7. 81
  8. 5
  9. 28
  10. 290
  11. 32
  12. 65
  13. 81
  14. 280
  15. 184
  16. 24
  17. 36
  18. 14
  19. 12
  20. 21
  21. 165
  22. 135
  23. 28
  24. 26
  25. 100
  26. 60
  27. 42
  28. 90
  29. 16
  30. 90
  31. 105
  32. 30
  33. 8
  34. 63
  35. 8
  36. 32
  37. 48
  38. 8
  39. 36
  40. 168

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