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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 118 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  2. 2.6 : 11 = 54 : ?
  3. 3.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  4. 4.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  5. 5.Divide ₹520 between Ishaan and Sneha in the ratio 7 : 6. How much does Sneha get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  10. 10.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  11. 11.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  12. 12.Divide ₹170 between Vivaan and Sneha in the ratio 3 : 2. How much does Vivaan get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 5 : 7. There are 45 boys. How many girls are there?
  14. 14.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  15. 15.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  16. 16.Divide ₹546 between Dev and Vivaan in the ratio 5 : 9. How much does Dev get (in ₹)?
  17. 17.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  18. 18.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  19. 19.Divide ₹240 between Saanvi and Diya in the ratio 5 : 1. How much does Diya get (in ₹)?
  20. 20.Divide ₹261 between Isha and Dev in the ratio 2 : 7. How much does Isha get (in ₹)?
  21. 21.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  22. 22.Divide ₹150 between Pooja and Tara in the ratio 3 : 7. How much does Tara get (in ₹)?
  23. 23.Divide ₹132 between Farhan and Meera in the ratio 9 : 2. How much does Meera get (in ₹)?
  24. 24.6 : 10 = 54 : ?
  25. 25.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  26. 26.10 : 2 = 70 : ?
  27. 27.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  28. 28.6 : 8 = 36 : ?
  29. 29.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  30. 30.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  31. 31.7 : 15 = 63 : ?
  32. 32.8 : 2 = 72 : ?
  33. 33.10 : 5 = 20 : ?
  34. 34.Divide ₹195 between Rohan and Tara in the ratio 2 : 3. How much does Rohan get (in ₹)?
  35. 35.6 : 15 = 12 : ?
  36. 36.Divide ₹572 between Nisha and Saanvi in the ratio 7 : 4. How much does Nisha get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  38. 38.Divide ₹275 between Sneha and Nisha in the ratio 4 : 1. How much does Sneha get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  40. 40.Divide ₹195 between Dev and Aarav in the ratio 6 : 7. How much does Dev get (in ₹)?

Answer key

  1. 21
  2. 99
  3. 28
  4. 50
  5. 240
  6. 12
  7. 10
  8. 10
  9. 63
  10. 200
  11. 144
  12. 102
  13. 63
  14. 36
  15. 8
  16. 195
  17. 20
  18. 24
  19. 40
  20. 58
  21. 27
  22. 105
  23. 24
  24. 90
  25. 28
  26. 14
  27. 112
  28. 48
  29. 128
  30. 80
  31. 135
  32. 18
  33. 10
  34. 78
  35. 30
  36. 364
  37. 15
  38. 220
  39. 80
  40. 90

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