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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 932 · 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.Divide ₹377 between Isha and Meera in the ratio 8 : 5. How much does Meera get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 6 : 7. There are 48 boys. How many girls are there?
  5. 5.Divide ₹390 between Tara and Arjun in the ratio 7 : 8. How much does Arjun get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  7. 7.Divide ₹308 between Karan and Farhan in the ratio 6 : 5. How much does Karan get (in ₹)?
  8. 8.11 : 10 = 66 : ?
  9. 9.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  10. 10.12 : 13 = 60 : ?
  11. 11.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  12. 12.Divide ₹152 between Pooja and Priya in the ratio 1 : 7. How much does Priya get (in ₹)?
  13. 13.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  14. 14.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  15. 15.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  16. 16.7 : 14 = 28 : ?
  17. 17.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?
  18. 18.Divide ₹736 between Saanvi and Ishaan in the ratio 7 : 9. How much does Ishaan get (in ₹)?
  19. 19.6 : 14 = 54 : ?
  20. 20.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  21. 21.12 : 4 = 96 : ?
  22. 22.7 : 14 = 42 : ?
  23. 23.8 : 13 = 16 : ?
  24. 24.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  26. 26.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  27. 27.8 : 15 = 24 : ?
  28. 28.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  29. 29.7 : 2 = 42 : ?
  30. 30.4 : 8 = 28 : ?
  31. 31.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  32. 32.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  33. 33.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  34. 34.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  35. 35.9 : 14 = 45 : ?
  36. 36.9 : 6 = 72 : ?
  37. 37.9 : 15 = 45 : ?
  38. 38.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  39. 39.Divide ₹350 between Rahul and Zoya in the ratio 7 : 3. How much does Zoya get (in ₹)?
  40. 40.11 : 12 = 77 : ?

Answer key

  1. 145
  2. 3
  3. 12
  4. 56
  5. 208
  6. 40
  7. 168
  8. 60
  9. 28
  10. 65
  11. 50
  12. 133
  13. 32
  14. 7
  15. 32
  16. 56
  17. 30
  18. 414
  19. 126
  20. 128
  21. 32
  22. 84
  23. 26
  24. 20
  25. 30
  26. 36
  27. 45
  28. 7
  29. 12
  30. 56
  31. 12
  32. 28
  33. 48
  34. 150
  35. 70
  36. 48
  37. 75
  38. 125
  39. 105
  40. 84

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