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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 481 · 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 5 : 7. There are 30 boys. How many girls are there?
  2. 2.Divide ₹432 between Rohan and Meera in the ratio 1 : 8. How much does Rohan get (in ₹)?
  3. 3.Divide ₹522 between Manav and Kabir in the ratio 8 : 1. How much does Manav get (in ₹)?
  4. 4.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  5. 5.11 : 7 = 22 : ?
  6. 6.3 : 4 = 12 : ?
  7. 7.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  8. 8.Divide ₹65 between Zoya and Priya in the ratio 4 : 9. How much does Zoya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
  11. 11.Divide ₹90 between Arjun and Ananya in the ratio 5 : 4. How much does Arjun get (in ₹)?
  12. 12.11 : 5 = 66 : ?
  13. 13.11 : 3 = 88 : ?
  14. 14.Divide ₹245 between Kavya and Dev in the ratio 6 : 1. How much does Dev get (in ₹)?
  15. 15.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  16. 16.8 : 6 = 32 : ?
  17. 17.5 : 12 = 40 : ?
  18. 18.8 : 4 = 32 : ?
  19. 19.5 : 15 = 30 : ?
  20. 20.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  21. 21.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  22. 22.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  24. 24.Divide ₹234 between Arjun and Vivaan in the ratio 2 : 7. How much does Vivaan get (in ₹)?
  25. 25.Divide ₹28 between Ishaan and Diya in the ratio 1 : 3. How much does Ishaan get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  27. 27.5 : 3 = 15 : ?
  28. 28.9 : 2 = 27 : ?
  29. 29.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  30. 30.Divide ₹391 between Vivaan and Kabir in the ratio 8 : 9. How much does Kabir get (in ₹)?
  31. 31.Divide ₹243 between Isha and Ananya in the ratio 7 : 2. How much does Ananya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
  33. 33.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  34. 34.10 : 5 = 30 : ?
  35. 35.3 : 8 = 6 : ?
  36. 36.Divide ₹520 between Isha and Aarav in the ratio 6 : 7. How much does Isha get (in ₹)?
  37. 37.7 : 14 = 56 : ?
  38. 38.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?

Answer key

  1. 42
  2. 48
  3. 464
  4. 54
  5. 14
  6. 16
  7. 18
  8. 20
  9. 35
  10. 35
  11. 50
  12. 30
  13. 24
  14. 35
  15. 20
  16. 24
  17. 96
  18. 16
  19. 90
  20. 8
  21. 100
  22. 21
  23. 28
  24. 182
  25. 7
  26. 18
  27. 9
  28. 6
  29. 24
  30. 207
  31. 54
  32. 42
  33. 96
  34. 15
  35. 16
  36. 240
  37. 112
  38. 14
  39. 81
  40. 30

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