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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 190 · 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 : 9. There are 63 boys. How many girls are there?
  2. 2.Divide ₹564 between Zoya and Arjun in the ratio 7 : 5. How much does Arjun get (in ₹)?
  3. 3.Divide ₹60 between Manav and Meera in the ratio 3 : 7. How much does Meera get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  6. 6.Divide ₹120 between Aarav and Zoya in the ratio 7 : 8. How much does Aarav get (in ₹)?
  7. 7.Divide ₹374 between Priya and Rohan in the ratio 6 : 5. How much does Rohan get (in ₹)?
  8. 8.Divide ₹324 between Zoya and Pooja in the ratio 1 : 5. How much does Pooja get (in ₹)?
  9. 9.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  10. 10.2 : 5 = 6 : ?
  11. 11.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  13. 13.8 : 7 = 32 : ?
  14. 14.2 : 12 = 16 : ?
  15. 15.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  16. 16.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  17. 17.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  19. 19.2 : 6 = 16 : ?
  20. 20.Divide ₹598 between Rahul and Zoya in the ratio 7 : 6. How much does Rahul get (in ₹)?
  21. 21.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  22. 22.2 : 15 = 18 : ?
  23. 23.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  25. 25.4 : 13 = 16 : ?
  26. 26.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  27. 27.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  28. 28.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  29. 29.Divide ₹126 between Ishaan and Meera in the ratio 2 : 7. How much does Ishaan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  31. 31.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  32. 32.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  33. 33.Divide ₹147 between Vivaan and Manav in the ratio 2 : 1. How much does Manav get (in ₹)?
  34. 34.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  35. 35.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  37. 37.9 : 8 = 54 : ?
  38. 38.3 : 10 = 9 : ?
  39. 39.Divide ₹95 between Arjun and Vivaan in the ratio 2 : 3. How much does Arjun get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?

Answer key

  1. 81
  2. 235
  3. 42
  4. 72
  5. 15
  6. 56
  7. 170
  8. 270
  9. 50
  10. 15
  11. 21
  12. 4
  13. 28
  14. 96
  15. 27
  16. 125
  17. 25
  18. 36
  19. 48
  20. 322
  21. 112
  22. 135
  23. 6
  24. 21
  25. 52
  26. 24
  27. 128
  28. 144
  29. 28
  30. 27
  31. 12
  32. 6
  33. 49
  34. 8
  35. 8
  36. 20
  37. 48
  38. 30
  39. 38
  40. 25

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