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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 882 · 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 8 and 24 (that is, 8 : 24 = 24 : ?).
  2. 2.Divide ₹396 between Diya and Aarav in the ratio 7 : 5. How much does Diya get (in ₹)?
  3. 3.Divide ₹242 between Karan and Pooja in the ratio 2 : 9. How much does Karan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  7. 7.Divide ₹330 between Sneha and Pooja in the ratio 6 : 5. How much does Pooja get (in ₹)?
  8. 8.Divide ₹162 between Ananya and Kavya in the ratio 4 : 5. How much does Kavya get (in ₹)?
  9. 9.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  10. 10.Divide ₹84 between Nisha and Kabir in the ratio 5 : 1. How much does Kabir get (in ₹)?
  11. 11.12 : 14 = 72 : ?
  12. 12.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  13. 13.Divide ₹295 between Kavya and Farhan in the ratio 1 : 4. How much does Farhan get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  15. 15.11 : 2 = 99 : ?
  16. 16.6 : 5 = 36 : ?
  17. 17.12 : 3 = 48 : ?
  18. 18.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  19. 19.Divide ₹77 between Priya and Diya in the ratio 5 : 2. How much does Priya get (in ₹)?
  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 8 : 9. There are 64 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  23. 23.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  24. 24.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  25. 25.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  27. 27.6 : 13 = 48 : ?
  28. 28.6 : 4 = 12 : ?
  29. 29.Divide ₹270 between Saanvi and Kavya in the ratio 4 : 1. How much does Kavya get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
  33. 33.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  34. 34.5 : 10 = 10 : ?
  35. 35.9 : 3 = 81 : ?
  36. 36.5 : 12 = 45 : ?
  37. 37.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  38. 38.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  39. 39.Divide ₹348 between Manav and Pooja in the ratio 7 : 5. How much does Pooja get (in ₹)?
  40. 40.Divide ₹60 between Rahul and Meera in the ratio 1 : 3. How much does Meera get (in ₹)?

Answer key

  1. 72
  2. 231
  3. 44
  4. 54
  5. 20
  6. 12
  7. 150
  8. 90
  9. 24
  10. 14
  11. 84
  12. 16
  13. 236
  14. 28
  15. 18
  16. 30
  17. 12
  18. 100
  19. 55
  20. 20
  21. 72
  22. 18
  23. 20
  24. 225
  25. 80
  26. 10
  27. 104
  28. 8
  29. 54
  30. 8
  31. 24
  32. 9
  33. 50
  34. 20
  35. 27
  36. 108
  37. 50
  38. 28
  39. 145
  40. 45

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