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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 399 · 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 : 8. There are 21 boys. How many girls are there?
  2. 2.Divide ₹126 between Manav and Nisha in the ratio 5 : 1. How much does Manav get (in ₹)?
  3. 3.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  4. 4.Divide ₹234 between Aarav and Diya in the ratio 4 : 9. How much does Diya get (in ₹)?
  5. 5.Divide ₹154 between Saanvi and Nisha in the ratio 5 : 9. How much does Nisha get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  8. 8.Divide ₹147 between Sneha and Rohan in the ratio 1 : 6. How much does Sneha get (in ₹)?
  9. 9.4 : 6 = 8 : ?
  10. 10.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  11. 11.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  12. 12.Divide ₹304 between Rahul and Manav in the ratio 1 : 7. How much does Rahul get (in ₹)?
  13. 13.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  14. 14.10 : 2 = 70 : ?
  15. 15.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  16. 16.10 : 5 = 90 : ?
  17. 17.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  18. 18.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  19. 19.Divide ₹120 between Ananya and Meera in the ratio 7 : 3. How much does Meera get (in ₹)?
  20. 20.7 : 10 = 63 : ?
  21. 21.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  22. 22.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  23. 23.Divide ₹247 between Ishaan and Farhan in the ratio 7 : 6. How much does Ishaan get (in ₹)?
  24. 24.Divide ₹70 between Nisha and Pooja in the ratio 2 : 3. How much does Nisha get (in ₹)?
  25. 25.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  26. 26.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  27. 27.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  28. 28.8 : 11 = 40 : ?
  29. 29.Divide ₹80 between Kabir and Isha in the ratio 9 : 7. How much does Isha get (in ₹)?
  30. 30.3 : 4 = 12 : ?
  31. 31.10 : 14 = 90 : ?
  32. 32.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  33. 33.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  34. 34.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  35. 35.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  36. 36.Divide ₹36 between Manav and Kabir in the ratio 1 : 2. How much does Manav get (in ₹)?
  37. 37.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  38. 38.12 : 7 = 72 : ?
  39. 39.7 : 5 = 63 : ?
  40. 40.Divide ₹297 between Saanvi and Aditya in the ratio 7 : 2. How much does Saanvi get (in ₹)?

Answer key

  1. 24
  2. 105
  3. 100
  4. 162
  5. 99
  6. 72
  7. 6
  8. 21
  9. 12
  10. 3
  11. 64
  12. 38
  13. 28
  14. 14
  15. 20
  16. 45
  17. 16
  18. 42
  19. 36
  20. 90
  21. 21
  22. 27
  23. 133
  24. 28
  25. 81
  26. 6
  27. 50
  28. 55
  29. 35
  30. 16
  31. 126
  32. 18
  33. 32
  34. 12
  35. 72
  36. 12
  37. 36
  38. 42
  39. 45
  40. 231

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