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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 234 · 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 : 1. There are 40 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  3. 3.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  4. 4.Divide ₹594 between Diya and Tara in the ratio 7 : 4. How much does Diya get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  6. 6.7 : 10 = 14 : ?
  7. 7.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  8. 8.Divide ₹60 between Diya and Ananya in the ratio 7 : 3. How much does Ananya get (in ₹)?
  9. 9.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  10. 10.7 : 9 = 21 : ?
  11. 11.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  12. 12.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  13. 13.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  14. 14.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  15. 15.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
  16. 16.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  17. 17.7 : 11 = 63 : ?
  18. 18.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  20. 20.Divide ₹350 between Ananya and Meera in the ratio 6 : 1. How much does Ananya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  23. 23.Divide ₹336 between Tara and Zoya in the ratio 9 : 7. How much does Tara get (in ₹)?
  24. 24.8 : 7 = 48 : ?
  25. 25.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  26. 26.Divide ₹45 between Meera and Rahul in the ratio 8 : 1. How much does Meera get (in ₹)?
  27. 27.Divide ₹156 between Rohan and Nisha in the ratio 4 : 9. How much does Rohan get (in ₹)?
  28. 28.Divide ₹495 between Karan and Meera in the ratio 7 : 2. How much does Meera get (in ₹)?
  29. 29.Divide ₹234 between Manav and Saanvi in the ratio 5 : 1. How much does Saanvi get (in ₹)?
  30. 30.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  31. 31.Divide ₹918 between Meera and Rohan in the ratio 9 : 8. How much does Meera get (in ₹)?
  32. 32.12 : 10 = 36 : ?
  33. 33.3 : 2 = 9 : ?
  34. 34.Divide ₹45 between Farhan and Diya in the ratio 5 : 4. How much does Diya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  38. 38.Divide ₹165 between Diya and Vivaan in the ratio 1 : 2. How much does Vivaan get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?

Answer key

  1. 8
  2. 30
  3. 112
  4. 378
  5. 3
  6. 20
  7. 54
  8. 18
  9. 20
  10. 27
  11. 64
  12. 12
  13. 18
  14. 24
  15. 40
  16. 125
  17. 99
  18. 18
  19. 3
  20. 300
  21. 24
  22. 8
  23. 189
  24. 42
  25. 36
  26. 40
  27. 48
  28. 110
  29. 39
  30. 63
  31. 486
  32. 30
  33. 6
  34. 20
  35. 81
  36. 10
  37. 12
  38. 110
  39. 60
  40. 18

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