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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 119 · 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.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  2. 2.Divide ₹63 between Diya and Karan in the ratio 6 : 1. How much does Karan get (in ₹)?
  3. 3.Divide ₹472 between Ananya and Isha in the ratio 5 : 3. How much does Ananya get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
  5. 5.Divide ₹215 between Ananya and Rahul in the ratio 1 : 4. How much does Ananya get (in ₹)?
  6. 6.5 : 3 = 15 : ?
  7. 7.Divide ₹360 between Nisha and Ananya in the ratio 7 : 2. How much does Ananya get (in ₹)?
  8. 8.5 : 15 = 20 : ?
  9. 9.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  10. 10.10 : 4 = 50 : ?
  11. 11.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  12. 12.9 : 7 = 72 : ?
  13. 13.9 : 2 = 63 : ?
  14. 14.4 : 6 = 12 : ?
  15. 15.10 : 14 = 20 : ?
  16. 16.Divide ₹300 between Meera and Ananya in the ratio 3 : 7. How much does Meera get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  18. 18.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  19. 19.Divide ₹190 between Ishaan and Sneha in the ratio 7 : 3. How much does Sneha get (in ₹)?
  20. 20.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  21. 21.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  23. 23.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  24. 24.7 : 13 = 14 : ?
  25. 25.11 : 14 = 77 : ?
  26. 26.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  27. 27.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  28. 28.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  29. 29.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  30. 30.10 : 7 = 60 : ?
  31. 31.12 : 5 = 60 : ?
  32. 32.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  33. 33.Divide ₹200 between Manav and Pooja in the ratio 9 : 1. How much does Manav get (in ₹)?
  34. 34.Divide ₹408 between Priya and Aarav in the ratio 9 : 8. How much does Priya get (in ₹)?
  35. 35.3 : 8 = 27 : ?
  36. 36.4 : 10 = 8 : ?
  37. 37.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  38. 38.Divide ₹156 between Manav and Rahul in the ratio 6 : 7. How much does Manav get (in ₹)?
  39. 39.Divide ₹440 between Aditya and Diya in the ratio 1 : 9. How much does Diya get (in ₹)?
  40. 40.8 : 7 = 16 : ?

Answer key

  1. 6
  2. 9
  3. 295
  4. 2
  5. 43
  6. 9
  7. 80
  8. 60
  9. 45
  10. 20
  11. 27
  12. 56
  13. 14
  14. 18
  15. 28
  16. 90
  17. 20
  18. 32
  19. 57
  20. 112
  21. 20
  22. 30
  23. 12
  24. 26
  25. 98
  26. 16
  27. 75
  28. 50
  29. 81
  30. 42
  31. 25
  32. 12
  33. 180
  34. 216
  35. 72
  36. 20
  37. 20
  38. 72
  39. 396
  40. 14

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