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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 696 · 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. 1.6 : 2 = 12 : ?
  2. 2.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  3. 3.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  4. 4.Divide ₹121 between Kavya and Isha in the ratio 5 : 6. How much does Isha get (in ₹)?
  5. 5.10 : 14 = 90 : ?
  6. 6.Divide ₹196 between Kavya and Kabir in the ratio 5 : 9. How much does Kavya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  8. 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  9. 9.The ratio of boys to girls in a class is 1 : 5. There are 6 boys. How many girls are there?
  10. 10.7 : 3 = 49 : ?
  11. 11.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  12. 12.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  13. 13.10 : 2 = 70 : ?
  14. 14.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  15. 15.5 : 7 = 20 : ?
  16. 16.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  17. 17.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  18. 18.Divide ₹231 between Meera and Diya in the ratio 9 : 2. How much does Meera get (in ₹)?
  19. 19.Divide ₹672 between Priya and Rahul in the ratio 5 : 7. How much does Priya get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  21. 21.Divide ₹108 between Saanvi and Kavya in the ratio 1 : 5. How much does Saanvi get (in ₹)?
  22. 22.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  23. 23.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  24. 24.The ratio of boys to girls in a class is 3 : 5. There are 27 boys. How many girls are there?
  25. 25.3 : 11 = 9 : ?
  26. 26.7 : 3 = 14 : ?
  27. 27.Divide ₹273 between Vivaan and Dev in the ratio 2 : 5. How much does Dev get (in ₹)?
  28. 28.Divide ₹850 between Ananya and Isha in the ratio 9 : 8. How much does Isha get (in ₹)?
  29. 29.4 : 6 = 16 : ?
  30. 30.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  31. 31.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  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 5 : 4. There are 45 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  36. 36.10 : 14 = 40 : ?
  37. 37.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  38. 38.11 : 15 = 88 : ?
  39. 39.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  40. 40.8 : 14 = 40 : ?

Answer key

  1. 4
  2. 8
  3. 32
  4. 66
  5. 126
  6. 70
  7. 32
  8. 8
  9. 30
  10. 21
  11. 6
  12. 144
  13. 14
  14. 150
  15. 28
  16. 24
  17. 200
  18. 189
  19. 280
  20. 24
  21. 18
  22. 96
  23. 16
  24. 45
  25. 33
  26. 6
  27. 195
  28. 400
  29. 24
  30. 50
  31. 36
  32. 7
  33. 12
  34. 36
  35. 16
  36. 56
  37. 9
  38. 120
  39. 28
  40. 70

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