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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 570 · 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 16 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
  3. 3.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  4. 4.10 : 7 = 40 : ?
  5. 5.Divide ₹220 between Ananya and Diya in the ratio 9 : 2. How much does Ananya get (in ₹)?
  6. 6.Divide ₹416 between Meera and Aarav in the ratio 7 : 1. How much does Aarav get (in ₹)?
  7. 7.Divide ₹231 between Tara and Rohan in the ratio 4 : 3. How much does Rohan get (in ₹)?
  8. 8.8 : 15 = 32 : ?
  9. 9.Divide ₹702 between Karan and Ishaan in the ratio 9 : 4. How much does Karan get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  11. 11.Divide ₹50 between Vivaan and Isha in the ratio 3 : 2. How much does Vivaan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
  13. 13.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  14. 14.Divide ₹117 between Meera and Arjun in the ratio 5 : 4. How much does Meera get (in ₹)?
  15. 15.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  16. 16.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  17. 17.9 : 14 = 27 : ?
  18. 18.7 : 14 = 42 : ?
  19. 19.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  20. 20.9 : 4 = 45 : ?
  21. 21.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  22. 22.Divide ₹225 between Zoya and Meera in the ratio 8 : 1. How much does Zoya get (in ₹)?
  23. 23.Divide ₹90 between Priya and Manav in the ratio 4 : 1. How much does Priya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  25. 25.Divide ₹161 between Meera and Nisha in the ratio 1 : 6. How much does Nisha get (in ₹)?
  26. 26.12 : 11 = 72 : ?
  27. 27.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  28. 28.Divide ₹364 between Priya and Zoya in the ratio 6 : 1. How much does Priya get (in ₹)?
  29. 29.Divide ₹216 between Sneha and Priya in the ratio 3 : 5. How much does Priya get (in ₹)?
  30. 30.3 : 15 = 15 : ?
  31. 31.4 : 10 = 28 : ?
  32. 32.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  33. 33.6 : 13 = 54 : ?
  34. 34.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  35. 35.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  36. 36.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  37. 37.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  38. 38.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  39. 39.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  40. 40.7 : 9 = 14 : ?

Answer key

  1. 28
  2. 25
  3. 18
  4. 28
  5. 180
  6. 52
  7. 99
  8. 60
  9. 486
  10. 35
  11. 30
  12. 2
  13. 8
  14. 65
  15. 112
  16. 16
  17. 42
  18. 84
  19. 9
  20. 20
  21. 48
  22. 200
  23. 72
  24. 18
  25. 138
  26. 66
  27. 12
  28. 312
  29. 135
  30. 75
  31. 70
  32. 42
  33. 117
  34. 20
  35. 3
  36. 50
  37. 80
  38. 45
  39. 6
  40. 18

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