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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 469 · 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. 1.9 : 13 = 27 : ?
  2. 2.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  3. 3.9 : 10 = 54 : ?
  4. 4.Divide ₹217 between Aarav and Farhan in the ratio 6 : 1. How much does Aarav get (in ₹)?
  5. 5.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  6. 6.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  7. 7.The ratio of boys to girls in a class is 2 : 3. There are 14 boys. How many girls are there?
  8. 8.4 : 12 = 8 : ?
  9. 9.6 : 5 = 42 : ?
  10. 10.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  11. 11.Divide ₹261 between Pooja and Ishaan in the ratio 1 : 8. How much does Pooja get (in ₹)?
  12. 12.6 : 2 = 48 : ?
  13. 13.6 : 13 = 48 : ?
  14. 14.Divide ₹329 between Arjun and Nisha in the ratio 2 : 5. How much does Nisha get (in ₹)?
  15. 15.Divide ₹506 between Kabir and Manav in the ratio 4 : 7. How much does Kabir get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 9 : 8. There are 72 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 5 : 9. There are 45 boys. How many girls are there?
  18. 18.8 : 5 = 72 : ?
  19. 19.Divide ₹322 between Arjun and Saanvi in the ratio 3 : 4. How much does Arjun get (in ₹)?
  20. 20.Divide ₹88 between Sneha and Rahul in the ratio 3 : 8. How much does Sneha get (in ₹)?
  21. 21.Divide ₹484 between Kabir and Vivaan in the ratio 2 : 9. How much does Vivaan get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  23. 23.10 : 6 = 20 : ?
  24. 24.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
  25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  26. 26.Divide ₹477 between Arjun and Saanvi in the ratio 2 : 7. How much does Arjun get (in ₹)?
  27. 27.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  28. 28.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  29. 29.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  30. 30.Divide ₹100 between Rohan and Manav in the ratio 3 : 7. How much does Rohan get (in ₹)?
  31. 31.Divide ₹319 between Saanvi and Farhan in the ratio 2 : 9. How much does Farhan get (in ₹)?
  32. 32.8 : 13 = 56 : ?
  33. 33.Divide ₹266 between Aarav and Farhan in the ratio 1 : 6. How much does Farhan get (in ₹)?
  34. 34.Divide ₹66 between Farhan and Zoya in the ratio 5 : 1. How much does Farhan get (in ₹)?
  35. 35.5 : 2 = 15 : ?
  36. 36.The ratio of boys to girls in a class is 3 : 8. There are 21 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  39. 39.3 : 2 = 15 : ?
  40. 40.Divide ₹55 between Ishaan and Sneha in the ratio 1 : 4. How much does Ishaan get (in ₹)?

Answer key

  1. 39
  2. 28
  3. 60
  4. 186
  5. 24
  6. 128
  7. 21
  8. 24
  9. 35
  10. 72
  11. 29
  12. 16
  13. 104
  14. 235
  15. 184
  16. 64
  17. 81
  18. 45
  19. 138
  20. 24
  21. 396
  22. 14
  23. 12
  24. 36
  25. 18
  26. 106
  27. 125
  28. 27
  29. 48
  30. 30
  31. 261
  32. 91
  33. 228
  34. 55
  35. 6
  36. 56
  37. 5
  38. 16
  39. 10
  40. 11

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