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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 611 · 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 ₹1020 between Ananya and Pooja in the ratio 8 : 9. How much does Ananya get (in ₹)?
  2. 2.Divide ₹418 between Arjun and Zoya in the ratio 5 : 6. How much does Arjun get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  4. 4.Divide ₹220 between Manav and Farhan in the ratio 1 : 9. How much does Farhan get (in ₹)?
  5. 5.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  6. 6.Divide ₹319 between Meera and Diya in the ratio 3 : 8. How much does Diya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  10. 10.3 : 8 = 21 : ?
  11. 11.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
  12. 12.Divide ₹275 between Tara and Ananya in the ratio 1 : 4. How much does Ananya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  14. 14.4 : 9 = 8 : ?
  15. 15.11 : 6 = 88 : ?
  16. 16.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  18. 18.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  19. 19.5 : 11 = 10 : ?
  20. 20.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  21. 21.Divide ₹60 between Isha and Aarav in the ratio 5 : 1. How much does Isha get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 4 : 9. There are 20 boys. How many girls are there?
  24. 24.Divide ₹65 between Kabir and Priya in the ratio 6 : 7. How much does Priya get (in ₹)?
  25. 25.4 : 6 = 12 : ?
  26. 26.10 : 2 = 50 : ?
  27. 27.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  29. 29.10 : 2 = 80 : ?
  30. 30.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  31. 31.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  32. 32.10 : 2 = 20 : ?
  33. 33.Divide ₹125 between Priya and Farhan in the ratio 4 : 1. How much does Priya get (in ₹)?
  34. 34.Divide ₹715 between Rohan and Ananya in the ratio 5 : 8. How much does Rohan get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  36. 36.Divide ₹48 between Sneha and Aarav in the ratio 1 : 5. How much does Sneha get (in ₹)?
  37. 37.12 : 4 = 48 : ?
  38. 38.Divide ₹506 between Isha and Nisha in the ratio 7 : 4. How much does Nisha get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?

Answer key

  1. 480
  2. 190
  3. 16
  4. 198
  5. 225
  6. 232
  7. 35
  8. 64
  9. 40
  10. 56
  11. 40
  12. 220
  13. 3
  14. 18
  15. 48
  16. 7
  17. 7
  18. 20
  19. 22
  20. 32
  21. 50
  22. 48
  23. 45
  24. 35
  25. 18
  26. 10
  27. 14
  28. 64
  29. 16
  30. 54
  31. 72
  32. 4
  33. 100
  34. 275
  35. 28
  36. 8
  37. 16
  38. 184
  39. 10
  40. 12

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