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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 317 · 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 ₹450 between Ishaan and Meera in the ratio 8 : 1. How much does Meera get (in ₹)?
  2. 2.Divide ₹208 between Ishaan and Saanvi in the ratio 7 : 9. How much does Saanvi get (in ₹)?
  3. 3.11 : 5 = 66 : ?
  4. 4.3 : 12 = 9 : ?
  5. 5.Divide ₹329 between Rohan and Pooja in the ratio 5 : 2. How much does Rohan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
  7. 7.Divide ₹253 between Kabir and Meera in the ratio 9 : 2. How much does Kabir get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  9. 9.5 : 11 = 30 : ?
  10. 10.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  11. 11.4 : 10 = 8 : ?
  12. 12.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  13. 13.Divide ₹297 between Isha and Aditya in the ratio 8 : 1. How much does Aditya get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  15. 15.5 : 15 = 40 : ?
  16. 16.5 : 10 = 45 : ?
  17. 17.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
  18. 18.2 : 7 = 14 : ?
  19. 19.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  20. 20.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  21. 21.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  22. 22.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  23. 23.Divide ₹396 between Arjun and Manav in the ratio 7 : 2. How much does Arjun get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?
  25. 25.Divide ₹50 between Diya and Kabir in the ratio 9 : 1. How much does Kabir get (in ₹)?
  26. 26.Divide ₹520 between Manav and Pooja in the ratio 9 : 1. How much does Manav get (in ₹)?
  27. 27.5 : 12 = 30 : ?
  28. 28.6 : 3 = 18 : ?
  29. 29.Divide ₹616 between Karan and Zoya in the ratio 9 : 5. How much does Zoya get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  31. 31.Divide ₹432 between Vivaan and Pooja in the ratio 1 : 7. How much does Pooja get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 5. There are 6 boys. How many girls are there?
  33. 33.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  34. 34.4 : 10 = 28 : ?
  35. 35.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  36. 36.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  37. 37.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  38. 38.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  40. 40.4 : 14 = 8 : ?

Answer key

  1. 50
  2. 117
  3. 30
  4. 36
  5. 235
  6. 20
  7. 207
  8. 12
  9. 66
  10. 2
  11. 20
  12. 100
  13. 33
  14. 6
  15. 120
  16. 90
  17. 60
  18. 49
  19. 8
  20. 125
  21. 32
  22. 12
  23. 308
  24. 21
  25. 5
  26. 468
  27. 72
  28. 9
  29. 220
  30. 10
  31. 378
  32. 30
  33. 75
  34. 70
  35. 50
  36. 56
  37. 72
  38. 54
  39. 15
  40. 28

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