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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 131 · 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).

NameDateTime takenScore ___ / 40
  1. 1.8 : 4 = 56 : ?
  2. 2.Divide ₹170 between Tara and Sneha in the ratio 2 : 3. How much does Tara get (in ₹)?
  3. 3.Divide ₹198 between Nisha and Rahul in the ratio 4 : 5. How much does Rahul get (in ₹)?
  4. 4.8 : 7 = 72 : ?
  5. 5.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  6. 6.Divide ₹363 between Farhan and Manav in the ratio 6 : 5. How much does Manav get (in ₹)?
  7. 7.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  8. 8.6 : 14 = 12 : ?
  9. 9.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  10. 10.Divide ₹848 between Farhan and Manav in the ratio 9 : 7. How much does Manav get (in ₹)?
  11. 11.Divide ₹260 between Nisha and Diya in the ratio 9 : 1. How much does Nisha get (in ₹)?
  12. 12.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  13. 13.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  15. 15.11 : 2 = 55 : ?
  16. 16.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  17. 17.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  18. 18.6 : 10 = 54 : ?
  19. 19.Divide ₹405 between Diya and Vivaan in the ratio 7 : 2. How much does Diya get (in ₹)?
  20. 20.5 : 15 = 25 : ?
  21. 21.4 : 13 = 12 : ?
  22. 22.2 : 14 = 18 : ?
  23. 23.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 8 : 1. There are 80 boys. How many girls are there?
  25. 25.Divide ₹264 between Pooja and Saanvi in the ratio 1 : 5. How much does Pooja get (in ₹)?
  26. 26.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  27. 27.4 : 13 = 28 : ?
  28. 28.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  29. 29.12 : 3 = 108 : ?
  30. 30.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  31. 31.Divide ₹40 between Aarav and Manav in the ratio 1 : 3. How much does Aarav get (in ₹)?
  32. 32.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  33. 33.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  34. 34.Divide ₹306 between Saanvi and Rohan in the ratio 4 : 5. How much does Rohan get (in ₹)?
  35. 35.Divide ₹840 between Rohan and Saanvi in the ratio 9 : 5. How much does Rohan get (in ₹)?
  36. 36.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  37. 37.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  38. 38.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  39. 39.3 : 2 = 15 : ?
  40. 40.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?

Answer key

  1. 28
  2. 68
  3. 110
  4. 63
  5. 50
  6. 165
  7. 45
  8. 28
  9. 72
  10. 371
  11. 234
  12. 225
  13. 21
  14. 12
  15. 10
  16. 36
  17. 32
  18. 90
  19. 315
  20. 75
  21. 39
  22. 126
  23. 2
  24. 10
  25. 44
  26. 16
  27. 91
  28. 18
  29. 27
  30. 54
  31. 10
  32. 8
  33. 7
  34. 170
  35. 540
  36. 81
  37. 12
  38. 28
  39. 10
  40. 2

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