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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 700 · 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.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  2. 2.Divide ₹363 between Isha and Priya in the ratio 4 : 7. How much does Isha get (in ₹)?
  3. 3.2 : 4 = 4 : ?
  4. 4.Divide ₹460 between Priya and Sneha in the ratio 1 : 9. How much does Sneha get (in ₹)?
  5. 5.Divide ₹72 between Rohan and Isha in the ratio 8 : 1. How much does Isha get (in ₹)?
  6. 6.Divide ₹440 between Diya and Nisha in the ratio 1 : 7. How much does Nisha get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
  9. 9.Divide ₹660 between Diya and Meera in the ratio 7 : 8. How much does Meera get (in ₹)?
  10. 10.Divide ₹120 between Aditya and Kavya in the ratio 1 : 2. How much does Kavya get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  12. 12.Divide ₹168 between Kabir and Meera in the ratio 1 : 2. How much does Kabir get (in ₹)?
  13. 13.7 : 6 = 63 : ?
  14. 14.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  15. 15.Divide ₹105 between Manav and Sneha in the ratio 4 : 3. How much does Manav get (in ₹)?
  16. 16.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  17. 17.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  18. 18.2 : 7 = 18 : ?
  19. 19.12 : 2 = 24 : ?
  20. 20.Divide ₹287 between Ananya and Meera in the ratio 1 : 6. How much does Meera get (in ₹)?
  21. 21.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  22. 22.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?
  23. 23.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  24. 24.Divide ₹98 between Sneha and Rahul in the ratio 3 : 4. How much does Sneha get (in ₹)?
  25. 25.Divide ₹207 between Sneha and Nisha in the ratio 1 : 8. How much does Nisha get (in ₹)?
  26. 26.Divide ₹60 between Karan and Sneha in the ratio 1 : 5. How much does Sneha get (in ₹)?
  27. 27.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  28. 28.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  29. 29.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  32. 32.5 : 3 = 35 : ?
  33. 33.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  34. 34.8 : 15 = 16 : ?
  35. 35.Divide ₹117 between Kabir and Farhan in the ratio 2 : 7. How much does Farhan get (in ₹)?
  36. 36.11 : 12 = 66 : ?
  37. 37.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
  38. 38.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  39. 39.Divide ₹429 between Isha and Meera in the ratio 9 : 2. How much does Isha get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?

Answer key

  1. 8
  2. 132
  3. 8
  4. 414
  5. 8
  6. 385
  7. 24
  8. 15
  9. 352
  10. 80
  11. 18
  12. 56
  13. 54
  14. 63
  15. 60
  16. 100
  17. 125
  18. 63
  19. 4
  20. 246
  21. 75
  22. 16
  23. 36
  24. 42
  25. 184
  26. 50
  27. 64
  28. 54
  29. 16
  30. 12
  31. 12
  32. 21
  33. 35
  34. 30
  35. 91
  36. 72
  37. 8
  38. 150
  39. 351
  40. 14

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