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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 391 · 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 ₹224 between Rahul and Tara in the ratio 4 : 3. How much does Rahul get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 9. There are 30 boys. How many girls are there?
  3. 3.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  4. 4.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  5. 5.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  6. 6.2 : 5 = 14 : ?
  7. 7.Divide ₹396 between Pooja and Manav in the ratio 8 : 3. How much does Manav get (in ₹)?
  8. 8.Divide ₹410 between Kavya and Farhan in the ratio 3 : 7. How much does Farhan get (in ₹)?
  9. 9.5 : 4 = 30 : ?
  10. 10.Divide ₹85 between Rohan and Rahul in the ratio 9 : 8. How much does Rohan get (in ₹)?
  11. 11.Divide ₹580 between Kabir and Zoya in the ratio 3 : 7. How much does Kabir get (in ₹)?
  12. 12.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  13. 13.Divide ₹176 between Sneha and Saanvi in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  14. 14.7 : 5 = 42 : ?
  15. 15.9 : 13 = 27 : ?
  16. 16.8 : 7 = 40 : ?
  17. 17.3 : 12 = 6 : ?
  18. 18.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  19. 19.2 : 7 = 12 : ?
  20. 20.The ratio of boys to girls in a class is 6 : 7. There are 42 boys. How many girls are there?
  21. 21.Divide ₹90 between Ishaan and Aarav in the ratio 1 : 8. How much does Ishaan get (in ₹)?
  22. 22.9 : 2 = 72 : ?
  23. 23.6 : 3 = 18 : ?
  24. 24.7 : 5 = 56 : ?
  25. 25.Divide ₹282 between Rohan and Priya in the ratio 5 : 1. How much does Priya get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  27. 27.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  28. 28.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  29. 29.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  30. 30.10 : 5 = 80 : ?
  31. 31.The ratio of boys to girls in a class is 6 : 7. There are 60 boys. How many girls are there?
  32. 32.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  33. 33.4 : 8 = 12 : ?
  34. 34.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  35. 35.2 : 14 = 6 : ?
  36. 36.7 : 13 = 42 : ?
  37. 37.Divide ₹144 between Kavya and Farhan in the ratio 7 : 9. How much does Farhan get (in ₹)?
  38. 38.2 : 6 = 10 : ?
  39. 39.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  40. 40.Divide ₹96 between Ananya and Aarav in the ratio 5 : 3. How much does Aarav get (in ₹)?

Answer key

  1. 128
  2. 54
  3. 225
  4. 2
  5. 18
  6. 35
  7. 108
  8. 287
  9. 24
  10. 45
  11. 174
  12. 36
  13. 154
  14. 30
  15. 39
  16. 35
  17. 24
  18. 2
  19. 42
  20. 49
  21. 10
  22. 16
  23. 9
  24. 40
  25. 47
  26. 27
  27. 20
  28. 10
  29. 16
  30. 40
  31. 70
  32. 36
  33. 24
  34. 15
  35. 42
  36. 78
  37. 81
  38. 30
  39. 100
  40. 36

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