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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 304 · 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 ₹141 between Kabir and Saanvi in the ratio 1 : 2. How much does Saanvi get (in ₹)?
  2. 2.Divide ₹279 between Tara and Diya in the ratio 2 : 7. How much does Tara get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  6. 6.Divide ₹144 between Arjun and Ananya in the ratio 9 : 7. How much does Ananya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  8. 8.Divide ₹280 between Aarav and Isha in the ratio 3 : 5. How much does Isha get (in ₹)?
  9. 9.2 : 13 = 8 : ?
  10. 10.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  11. 11.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  12. 12.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  13. 13.7 : 4 = 42 : ?
  14. 14.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  15. 15.12 : 7 = 24 : ?
  16. 16.Divide ₹90 between Saanvi and Diya in the ratio 7 : 3. How much does Diya get (in ₹)?
  17. 17.8 : 15 = 16 : ?
  18. 18.The ratio of boys to girls in a class is 7 : 9. There are 42 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  20. 20.6 : 7 = 30 : ?
  21. 21.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  22. 22.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
  23. 23.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  24. 24.Divide ₹105 between Manav and Priya in the ratio 2 : 3. How much does Manav get (in ₹)?
  25. 25.Divide ₹230 between Arjun and Rahul in the ratio 3 : 2. How much does Rahul get (in ₹)?
  26. 26.Divide ₹121 between Isha and Manav in the ratio 6 : 5. How much does Isha get (in ₹)?
  27. 27.4 : 12 = 16 : ?
  28. 28.8 : 4 = 72 : ?
  29. 29.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  30. 30.Divide ₹400 between Isha and Tara in the ratio 7 : 1. How much does Tara get (in ₹)?
  31. 31.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  32. 32.10 : 7 = 90 : ?
  33. 33.The ratio of boys to girls in a class is 7 : 5. There are 21 boys. How many girls are there?
  34. 34.Divide ₹50 between Ishaan and Aarav in the ratio 1 : 9. How much does Ishaan get (in ₹)?
  35. 35.Divide ₹715 between Rohan and Isha in the ratio 4 : 9. How much does Isha get (in ₹)?
  36. 36.Divide ₹80 between Vivaan and Farhan in the ratio 3 : 5. How much does Farhan get (in ₹)?
  37. 37.12 : 6 = 72 : ?
  38. 38.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  39. 39.7 : 13 = 28 : ?
  40. 40.2 : 9 = 8 : ?

Answer key

  1. 94
  2. 62
  3. 28
  4. 20
  5. 50
  6. 63
  7. 18
  8. 175
  9. 52
  10. 4
  11. 225
  12. 64
  13. 24
  14. 50
  15. 14
  16. 27
  17. 30
  18. 54
  19. 45
  20. 35
  21. 96
  22. 2
  23. 75
  24. 42
  25. 92
  26. 66
  27. 48
  28. 36
  29. 36
  30. 50
  31. 24
  32. 63
  33. 15
  34. 5
  35. 495
  36. 50
  37. 36
  38. 112
  39. 52
  40. 36

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