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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 779 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  3. 3.2 : 6 = 18 : ?
  4. 4.Divide ₹350 between Farhan and Kavya in the ratio 5 : 9. How much does Farhan get (in ₹)?
  5. 5.Divide ₹64 between Ananya and Kabir in the ratio 3 : 5. How much does Kabir get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  8. 8.8 : 12 = 24 : ?
  9. 9.3 : 7 = 18 : ?
  10. 10.Divide ₹578 between Isha and Rahul in the ratio 9 : 8. How much does Rahul get (in ₹)?
  11. 11.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  12. 12.9 : 13 = 54 : ?
  13. 13.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  14. 14.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  15. 15.Divide ₹413 between Sneha and Rahul in the ratio 6 : 1. How much does Sneha get (in ₹)?
  16. 16.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  17. 17.Divide ₹570 between Kavya and Rahul in the ratio 3 : 7. How much does Rahul get (in ₹)?
  18. 18.9 : 10 = 54 : ?
  19. 19.Divide ₹135 between Kavya and Aarav in the ratio 2 : 1. How much does Kavya get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  21. 21.4 : 7 = 12 : ?
  22. 22.Divide ₹590 between Sneha and Zoya in the ratio 7 : 3. How much does Sneha get (in ₹)?
  23. 23.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  24. 24.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  25. 25.Divide ₹585 between Sneha and Pooja in the ratio 8 : 7. How much does Sneha 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.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  28. 28.12 : 6 = 84 : ?
  29. 29.9 : 14 = 72 : ?
  30. 30.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  31. 31.11 : 15 = 33 : ?
  32. 32.Divide ₹72 between Ananya and Isha in the ratio 2 : 7. How much does Isha get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  34. 34.Divide ₹78 between Sneha and Karan in the ratio 7 : 6. How much does Sneha get (in ₹)?
  35. 35.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  36. 36.Divide ₹336 between Karan and Sneha in the ratio 5 : 7. How much does Karan get (in ₹)?
  37. 37.Divide ₹154 between Nisha and Vivaan in the ratio 6 : 1. How much does Vivaan get (in ₹)?
  38. 38.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  39. 39.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  40. 40.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?

Answer key

  1. 18
  2. 7
  3. 54
  4. 125
  5. 40
  6. 2
  7. 25
  8. 36
  9. 42
  10. 272
  11. 175
  12. 78
  13. 12
  14. 28
  15. 354
  16. 75
  17. 399
  18. 60
  19. 90
  20. 70
  21. 21
  22. 413
  23. 45
  24. 20
  25. 312
  26. 27
  27. 6
  28. 42
  29. 112
  30. 16
  31. 45
  32. 56
  33. 14
  34. 42
  35. 112
  36. 140
  37. 22
  38. 12
  39. 63
  40. 18

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