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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 465 · 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 6 and 24 (that is, 6 : 24 = 24 : ?).
  2. 2.Divide ₹162 between Ishaan and Ananya in the ratio 5 : 4. How much does Ananya get (in ₹)?
  3. 3.3 : 12 = 9 : ?
  4. 4.Divide ₹280 between Diya and Pooja in the ratio 5 : 9. How much does Diya get (in ₹)?
  5. 5.10 : 12 = 30 : ?
  6. 6.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  7. 7.4 : 14 = 28 : ?
  8. 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  9. 9.7 : 13 = 35 : ?
  10. 10.6 : 11 = 24 : ?
  11. 11.4 : 13 = 20 : ?
  12. 12.9 : 3 = 27 : ?
  13. 13.5 : 3 = 15 : ?
  14. 14.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  15. 15.Divide ₹506 between Priya and Kabir in the ratio 3 : 8. How much does Priya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  18. 18.5 : 8 = 25 : ?
  19. 19.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  20. 20.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  21. 21.The ratio of boys to girls in a class is 8 : 3. There are 48 boys. How many girls are there?
  22. 22.Divide ₹504 between Farhan and Aditya in the ratio 5 : 7. How much does Farhan get (in ₹)?
  23. 23.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  24. 24.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  25. 25.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  26. 26.7 : 5 = 14 : ?
  27. 27.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  28. 28.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  29. 29.Divide ₹54 between Rohan and Nisha in the ratio 7 : 2. How much does Rohan get (in ₹)?
  30. 30.5 : 12 = 25 : ?
  31. 31.The ratio of boys to girls in a class is 9 : 8. There are 90 boys. How many girls are there?
  32. 32.5 : 6 = 35 : ?
  33. 33.Divide ₹451 between Isha and Ishaan in the ratio 2 : 9. How much does Ishaan get (in ₹)?
  34. 34.Divide ₹512 between Meera and Rahul in the ratio 7 : 9. How much does Meera get (in ₹)?
  35. 35.Divide ₹517 between Karan and Rahul in the ratio 7 : 4. How much does Karan get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 7 : 9. There are 35 boys. How many girls are there?
  37. 37.Divide ₹494 between Ananya and Ishaan in the ratio 6 : 7. How much does Ananya get (in ₹)?
  38. 38.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  39. 39.Divide ₹392 between Sneha and Rahul in the ratio 1 : 7. How much does Sneha get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?

Answer key

  1. 96
  2. 72
  3. 36
  4. 100
  5. 36
  6. 18
  7. 98
  8. 8
  9. 65
  10. 44
  11. 65
  12. 9
  13. 9
  14. 20
  15. 138
  16. 35
  17. 4
  18. 40
  19. 8
  20. 24
  21. 18
  22. 210
  23. 63
  24. 125
  25. 20
  26. 10
  27. 16
  28. 72
  29. 42
  30. 60
  31. 80
  32. 42
  33. 369
  34. 224
  35. 329
  36. 45
  37. 228
  38. 64
  39. 49
  40. 35

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