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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 772 · 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 5 and 15 (that is, 5 : 15 = 15 : ?).
  2. 2.10 : 15 = 20 : ?
  3. 3.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  6. 6.Divide ₹117 between Kabir and Karan in the ratio 2 : 7. How much does Kabir get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  8. 8.Divide ₹144 between Meera and Saanvi in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  9. 9.3 : 4 = 24 : ?
  10. 10.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  11. 11.Divide ₹99 between Kabir and Karan in the ratio 1 : 8. How much does Karan get (in ₹)?
  12. 12.Divide ₹513 between Zoya and Aarav in the ratio 8 : 1. How much does Zoya get (in ₹)?
  13. 13.7 : 6 = 35 : ?
  14. 14.Divide ₹162 between Kabir and Aarav in the ratio 1 : 8. How much does Kabir get (in ₹)?
  15. 15.Divide ₹300 between Isha and Priya in the ratio 1 : 4. How much does Isha get (in ₹)?
  16. 16.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  17. 17.3 : 6 = 15 : ?
  18. 18.Divide ₹75 between Isha and Rohan in the ratio 8 : 7. How much does Isha get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  22. 22.Divide ₹198 between Isha and Meera in the ratio 7 : 2. How much does Isha get (in ₹)?
  23. 23.3 : 14 = 24 : ?
  24. 24.Divide ₹550 between Manav and Kavya in the ratio 6 : 5. How much does Manav get (in ₹)?
  25. 25.Divide ₹533 between Dev and Rohan in the ratio 5 : 8. How much does Dev get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
  27. 27.Divide ₹121 between Rohan and Isha in the ratio 7 : 4. How much does Rohan get (in ₹)?
  28. 28.6 : 12 = 36 : ?
  29. 29.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  30. 30.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  31. 31.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  32. 32.4 : 8 = 16 : ?
  33. 33.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  34. 34.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
  37. 37.Divide ₹360 between Ananya and Zoya in the ratio 7 : 3. How much does Zoya get (in ₹)?
  38. 38.3 : 12 = 12 : ?
  39. 39.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  40. 40.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?

Answer key

  1. 45
  2. 30
  3. 6
  4. 36
  5. 12
  6. 26
  7. 14
  8. 126
  9. 32
  10. 63
  11. 88
  12. 456
  13. 30
  14. 18
  15. 60
  16. 28
  17. 30
  18. 40
  19. 4
  20. 20
  21. 30
  22. 154
  23. 112
  24. 300
  25. 205
  26. 25
  27. 77
  28. 72
  29. 50
  30. 81
  31. 72
  32. 32
  33. 12
  34. 10
  35. 9
  36. 40
  37. 108
  38. 48
  39. 24
  40. 14

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