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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 979 · 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.Divide ₹484 between Nisha and Rahul in the ratio 4 : 7. How much does Nisha get (in ₹)?
  2. 2.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  3. 3.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  4. 4.Divide ₹510 between Pooja and Isha in the ratio 1 : 9. How much does Pooja get (in ₹)?
  5. 5.Divide ₹144 between Ishaan and Kavya in the ratio 1 : 8. How much does Ishaan get (in ₹)?
  6. 6.Divide ₹120 between Pooja and Farhan in the ratio 3 : 5. How much does Pooja get (in ₹)?
  7. 7.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  8. 8.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  10. 10.4 : 10 = 28 : ?
  11. 11.8 : 10 = 16 : ?
  12. 12.6 : 8 = 42 : ?
  13. 13.5 : 12 = 10 : ?
  14. 14.Divide ₹112 between Ananya and Diya in the ratio 3 : 1. How much does Diya get (in ₹)?
  15. 15.2 : 4 = 6 : ?
  16. 16.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  17. 17.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  18. 18.6 : 3 = 30 : ?
  19. 19.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
  20. 20.Divide ₹144 between Diya and Meera in the ratio 2 : 1. How much does Diya get (in ₹)?
  21. 21.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  22. 22.9 : 4 = 81 : ?
  23. 23.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  24. 24.Divide ₹306 between Diya and Manav in the ratio 1 : 8. How much does Diya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  27. 27.7 : 15 = 49 : ?
  28. 28.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  29. 29.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  30. 30.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 6 : 7. There are 54 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  33. 33.6 : 8 = 30 : ?
  34. 34.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  35. 35.4 : 6 = 20 : ?
  36. 36.Divide ₹506 between Sneha and Ishaan in the ratio 8 : 3. How much does Sneha get (in ₹)?
  37. 37.Divide ₹161 between Karan and Kavya in the ratio 4 : 3. How much does Karan get (in ₹)?
  38. 38.Divide ₹400 between Rohan and Ishaan in the ratio 9 : 7. How much does Ishaan get (in ₹)?
  39. 39.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  40. 40.10 : 8 = 90 : ?

Answer key

  1. 176
  2. 75
  3. 28
  4. 51
  5. 16
  6. 45
  7. 100
  8. 24
  9. 72
  10. 70
  11. 20
  12. 56
  13. 24
  14. 28
  15. 12
  16. 18
  17. 16
  18. 15
  19. 42
  20. 96
  21. 50
  22. 36
  23. 64
  24. 34
  25. 10
  26. 40
  27. 105
  28. 40
  29. 24
  30. 8
  31. 63
  32. 5
  33. 40
  34. 45
  35. 30
  36. 368
  37. 92
  38. 175
  39. 200
  40. 72

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