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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 958 · 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 ₹374 between Rahul and Vivaan in the ratio 4 : 7. How much does Rahul get (in ₹)?
  2. 2.6 : 15 = 18 : ?
  3. 3.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  4. 4.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  5. 5.Divide ₹420 between Rohan and Arjun in the ratio 4 : 3. How much does Rohan get (in ₹)?
  6. 6.6 : 5 = 36 : ?
  7. 7.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  8. 8.Divide ₹364 between Rohan and Pooja in the ratio 9 : 4. How much does Rohan get (in ₹)?
  9. 9.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  10. 10.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  11. 11.Divide ₹192 between Meera and Manav in the ratio 1 : 3. How much does Manav get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  13. 13.Divide ₹135 between Aditya and Vivaan in the ratio 8 : 1. How much does Aditya get (in ₹)?
  14. 14.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  15. 15.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  18. 18.12 : 9 = 72 : ?
  19. 19.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  20. 20.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  21. 21.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  22. 22.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  23. 23.7 : 10 = 42 : ?
  24. 24.9 : 14 = 45 : ?
  25. 25.3 : 4 = 9 : ?
  26. 26.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?
  27. 27.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  28. 28.The ratio of boys to girls in a class is 6 : 5. There are 54 boys. How many girls are there?
  29. 29.12 : 5 = 96 : ?
  30. 30.Divide ₹484 between Ananya and Aarav in the ratio 2 : 9. How much does Ananya get (in ₹)?
  31. 31.7 : 9 = 42 : ?
  32. 32.Divide ₹392 between Ananya and Dev in the ratio 3 : 5. How much does Ananya get (in ₹)?
  33. 33.4 : 11 = 24 : ?
  34. 34.7 : 3 = 14 : ?
  35. 35.9 : 3 = 45 : ?
  36. 36.Divide ₹416 between Pooja and Ishaan in the ratio 9 : 4. How much does Ishaan get (in ₹)?
  37. 37.Divide ₹154 between Isha and Diya in the ratio 4 : 7. How much does Isha get (in ₹)?
  38. 38.7 : 11 = 35 : ?
  39. 39.4 : 12 = 24 : ?
  40. 40.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?

Answer key

  1. 136
  2. 45
  3. 45
  4. 96
  5. 240
  6. 30
  7. 9
  8. 252
  9. 48
  10. 175
  11. 144
  12. 28
  13. 120
  14. 100
  15. 7
  16. 24
  17. 36
  18. 54
  19. 4
  20. 225
  21. 6
  22. 200
  23. 60
  24. 70
  25. 12
  26. 21
  27. 27
  28. 45
  29. 40
  30. 88
  31. 54
  32. 147
  33. 66
  34. 6
  35. 15
  36. 128
  37. 56
  38. 55
  39. 72
  40. 4

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