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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 300 · 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.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
  2. 2.3 : 9 = 6 : ?
  3. 3.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  4. 4.Divide ₹688 between Pooja and Arjun in the ratio 7 : 9. How much does Pooja get (in ₹)?
  5. 5.2 : 7 = 16 : ?
  6. 6.Divide ₹741 between Karan and Sneha in the ratio 9 : 4. How much does Sneha get (in ₹)?
  7. 7.Divide ₹125 between Farhan and Aarav in the ratio 4 : 1. How much does Farhan get (in ₹)?
  8. 8.Divide ₹162 between Kabir and Diya in the ratio 1 : 5. How much does Kabir get (in ₹)?
  9. 9.Divide ₹650 between Isha and Kavya in the ratio 4 : 9. How much does Kavya get (in ₹)?
  10. 10.8 : 11 = 72 : ?
  11. 11.Divide ₹585 between Meera and Manav in the ratio 7 : 8. How much does Meera get (in ₹)?
  12. 12.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  13. 13.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  14. 14.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  15. 15.3 : 2 = 9 : ?
  16. 16.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  19. 19.2 : 4 = 14 : ?
  20. 20.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  21. 21.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  22. 22.7 : 10 = 56 : ?
  23. 23.Divide ₹574 between Nisha and Arjun in the ratio 9 : 5. How much does Nisha get (in ₹)?
  24. 24.Divide ₹555 between Priya and Ishaan in the ratio 8 : 7. How much does Priya get (in ₹)?
  25. 25.2 : 5 = 16 : ?
  26. 26.Divide ₹434 between Sneha and Farhan in the ratio 9 : 5. How much does Farhan get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  28. 28.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  29. 29.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  30. 30.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  32. 32.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  33. 33.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  34. 34.5 : 12 = 15 : ?
  35. 35.Divide ₹480 between Pooja and Ananya in the ratio 1 : 7. How much does Ananya get (in ₹)?
  36. 36.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  37. 37.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  38. 38.6 : 9 = 18 : ?
  39. 39.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  40. 40.5 : 9 = 45 : ?

Answer key

  1. 25
  2. 18
  3. 80
  4. 301
  5. 56
  6. 228
  7. 100
  8. 27
  9. 450
  10. 99
  11. 273
  12. 16
  13. 36
  14. 150
  15. 6
  16. 49
  17. 35
  18. 10
  19. 28
  20. 20
  21. 4
  22. 80
  23. 369
  24. 296
  25. 40
  26. 155
  27. 56
  28. 32
  29. 18
  30. 30
  31. 54
  32. 24
  33. 8
  34. 36
  35. 420
  36. 54
  37. 48
  38. 27
  39. 24
  40. 81

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