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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 643 · 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 3 and 15 (that is, 3 : 15 = 15 : ?).
  2. 2.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  4. 4.10 : 14 = 40 : ?
  5. 5.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  6. 6.11 : 14 = 44 : ?
  7. 7.3 : 11 = 18 : ?
  8. 8.The ratio of boys to girls in a class is 6 : 7. There are 48 boys. How many girls are there?
  9. 9.5 : 12 = 30 : ?
  10. 10.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  11. 11.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  12. 12.7 : 4 = 49 : ?
  13. 13.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  14. 14.Divide ₹162 between Dev and Saanvi in the ratio 4 : 5. How much does Dev get (in ₹)?
  15. 15.Divide ₹405 between Sneha and Nisha in the ratio 5 : 4. How much does Sneha get (in ₹)?
  16. 16.Divide ₹252 between Tara and Ananya in the ratio 6 : 1. How much does Tara get (in ₹)?
  17. 17.2 : 8 = 4 : ?
  18. 18.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  19. 19.Divide ₹130 between Pooja and Karan in the ratio 7 : 3. How much does Pooja get (in ₹)?
  20. 20.Divide ₹185 between Nisha and Zoya in the ratio 2 : 3. How much does Nisha get (in ₹)?
  21. 21.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  22. 22.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
  23. 23.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  24. 24.12 : 14 = 24 : ?
  25. 25.Divide ₹156 between Aarav and Meera in the ratio 5 : 1. How much does Meera get (in ₹)?
  26. 26.6 : 15 = 12 : ?
  27. 27.Divide ₹350 between Rahul and Nisha in the ratio 2 : 5. How much does Rahul get (in ₹)?
  28. 28.3 : 5 = 6 : ?
  29. 29.The ratio of boys to girls in a class is 8 : 9. There are 80 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
  32. 32.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  33. 33.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  34. 34.Divide ₹36 between Kavya and Isha in the ratio 5 : 1. How much does Kavya get (in ₹)?
  35. 35.Divide ₹150 between Pooja and Karan in the ratio 1 : 5. How much does Karan get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 5 : 8. There are 50 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  39. 39.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  40. 40.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?

Answer key

  1. 75
  2. 30
  3. 56
  4. 56
  5. 35
  6. 56
  7. 66
  8. 56
  9. 72
  10. 64
  11. 50
  12. 28
  13. 63
  14. 72
  15. 225
  16. 216
  17. 16
  18. 18
  19. 91
  20. 74
  21. 175
  22. 20
  23. 96
  24. 28
  25. 26
  26. 30
  27. 100
  28. 10
  29. 90
  30. 27
  31. 32
  32. 18
  33. 90
  34. 30
  35. 125
  36. 32
  37. 80
  38. 12
  39. 128
  40. 12

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