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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 702 · 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.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  2. 2.Divide ₹598 between Karan and Manav in the ratio 9 : 4. How much does Manav get (in ₹)?
  3. 3.12 : 13 = 72 : ?
  4. 4.Divide ₹120 between Pooja and Ishaan in the ratio 3 : 7. How much does Ishaan get (in ₹)?
  5. 5.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  6. 6.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  7. 7.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  8. 8.8 : 12 = 72 : ?
  9. 9.Divide ₹329 between Meera and Rohan in the ratio 5 : 2. How much does Meera get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.Divide ₹561 between Ishaan and Vivaan in the ratio 8 : 9. How much does Vivaan get (in ₹)?
  13. 13.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  14. 14.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  15. 15.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  16. 16.Divide ₹243 between Manav and Kabir in the ratio 2 : 7. How much does Manav get (in ₹)?
  17. 17.Divide ₹208 between Karan and Ishaan in the ratio 7 : 9. How much does Karan get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  20. 20.9 : 8 = 63 : ?
  21. 21.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  22. 22.9 : 10 = 45 : ?
  23. 23.Divide ₹220 between Manav and Meera in the ratio 3 : 8. How much does Meera get (in ₹)?
  24. 24.2 : 3 = 12 : ?
  25. 25.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  26. 26.Divide ₹66 between Manav and Diya in the ratio 2 : 1. How much does Manav get (in ₹)?
  27. 27.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  28. 28.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  29. 29.8 : 9 = 40 : ?
  30. 30.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  31. 31.12 : 10 = 24 : ?
  32. 32.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  33. 33.7 : 6 = 35 : ?
  34. 34.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  35. 35.Divide ₹135 between Farhan and Isha in the ratio 2 : 1. How much does Isha get (in ₹)?
  36. 36.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  37. 37.Divide ₹65 between Ananya and Meera in the ratio 2 : 3. How much does Ananya get (in ₹)?
  38. 38.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  39. 39.11 : 8 = 99 : ?
  40. 40.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?

Answer key

  1. 128
  2. 184
  3. 78
  4. 84
  5. 175
  6. 36
  7. 20
  8. 108
  9. 235
  10. 6
  11. 18
  12. 297
  13. 12
  14. 75
  15. 50
  16. 54
  17. 91
  18. 50
  19. 15
  20. 56
  21. 72
  22. 50
  23. 160
  24. 18
  25. 3
  26. 44
  27. 16
  28. 12
  29. 45
  30. 100
  31. 20
  32. 125
  33. 30
  34. 32
  35. 45
  36. 24
  37. 26
  38. 112
  39. 72
  40. 28

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