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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 585 · 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. 1.7 : 9 = 42 : ?
  2. 2.3 : 8 = 9 : ?
  3. 3.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  4. 4.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  5. 5.4 : 2 = 36 : ?
  6. 6.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  8. 8.11 : 14 = 33 : ?
  9. 9.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  10. 10.8 : 13 = 16 : ?
  11. 11.Divide ₹720 between Manav and Vivaan in the ratio 7 : 8. How much does Manav get (in ₹)?
  12. 12.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  13. 13.Divide ₹867 between Meera and Diya in the ratio 9 : 8. How much does Meera get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  15. 15.Divide ₹216 between Vivaan and Arjun in the ratio 1 : 5. How much does Vivaan get (in ₹)?
  16. 16.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  17. 17.5 : 8 = 40 : ?
  18. 18.6 : 10 = 24 : ?
  19. 19.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
  20. 20.2 : 7 = 6 : ?
  21. 21.Divide ₹228 between Vivaan and Karan in the ratio 5 : 7. How much does Vivaan get (in ₹)?
  22. 22.Divide ₹279 between Diya and Saanvi in the ratio 7 : 2. How much does Diya get (in ₹)?
  23. 23.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  24. 24.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  25. 25.9 : 15 = 18 : ?
  26. 26.Divide ₹413 between Manav and Pooja in the ratio 2 : 5. How much does Pooja get (in ₹)?
  27. 27.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  28. 28.The ratio of boys to girls in a class is 6 : 7. There are 54 boys. How many girls are there?
  29. 29.5 : 6 = 20 : ?
  30. 30.5 : 2 = 10 : ?
  31. 31.5 : 12 = 20 : ?
  32. 32.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 6 : 7. There are 60 boys. How many girls are there?
  34. 34.Divide ₹372 between Aarav and Priya in the ratio 7 : 5. How much does Priya get (in ₹)?
  35. 35.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  36. 36.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  37. 37.2 : 12 = 18 : ?
  38. 38.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  39. 39.12 : 7 = 72 : ?
  40. 40.Divide ₹450 between Karan and Rohan in the ratio 7 : 3. How much does Karan get (in ₹)?

Answer key

  1. 54
  2. 24
  3. 24
  4. 50
  5. 18
  6. 40
  7. 15
  8. 42
  9. 32
  10. 26
  11. 336
  12. 8
  13. 459
  14. 40
  15. 36
  16. 45
  17. 64
  18. 40
  19. 40
  20. 21
  21. 95
  22. 217
  23. 28
  24. 112
  25. 30
  26. 295
  27. 64
  28. 63
  29. 24
  30. 4
  31. 48
  32. 32
  33. 70
  34. 155
  35. 150
  36. 18
  37. 108
  38. 20
  39. 42
  40. 315

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