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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 360 · 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. 1.11 : 4 = 99 : ?
  2. 2.10 : 2 = 70 : ?
  3. 3.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  4. 4.Divide ₹238 between Ananya and Isha in the ratio 2 : 5. How much does Isha get (in ₹)?
  5. 5.7 : 11 = 35 : ?
  6. 6.4 : 7 = 28 : ?
  7. 7.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  8. 8.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  9. 9.10 : 8 = 90 : ?
  10. 10.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  11. 11.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
  12. 12.6 : 2 = 30 : ?
  13. 13.3 : 14 = 12 : ?
  14. 14.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  15. 15.6 : 3 = 18 : ?
  16. 16.7 : 3 = 28 : ?
  17. 17.Divide ₹80 between Priya and Kabir in the ratio 3 : 5. How much does Priya get (in ₹)?
  18. 18.4 : 8 = 36 : ?
  19. 19.Divide ₹100 between Sneha and Meera in the ratio 9 : 1. How much does Sneha get (in ₹)?
  20. 20.Divide ₹544 between Saanvi and Nisha in the ratio 9 : 8. How much does Saanvi get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  22. 22.11 : 8 = 99 : ?
  23. 23.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  24. 24.The ratio of boys to girls in a class is 5 : 4. There are 50 boys. How many girls are there?
  25. 25.3 : 12 = 12 : ?
  26. 26.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 9 : 8. There are 72 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  30. 30.Divide ₹80 between Vivaan and Saanvi in the ratio 4 : 1. How much does Vivaan get (in ₹)?
  31. 31.10 : 14 = 70 : ?
  32. 32.3 : 5 = 15 : ?
  33. 33.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  34. 34.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?
  35. 35.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  36. 36.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
  37. 37.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  38. 38.Divide ₹468 between Nisha and Sneha in the ratio 4 : 9. How much does Nisha get (in ₹)?
  39. 39.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  40. 40.9 : 5 = 36 : ?

Answer key

  1. 36
  2. 14
  3. 45
  4. 170
  5. 55
  6. 49
  7. 12
  8. 45
  9. 72
  10. 144
  11. 2
  12. 10
  13. 56
  14. 18
  15. 9
  16. 12
  17. 30
  18. 72
  19. 90
  20. 288
  21. 30
  22. 72
  23. 36
  24. 40
  25. 48
  26. 27
  27. 14
  28. 64
  29. 54
  30. 64
  31. 98
  32. 25
  33. 12
  34. 56
  35. 16
  36. 8
  37. 32
  38. 144
  39. 32
  40. 20

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