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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 330 · 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 ₹390 between Zoya and Meera in the ratio 9 : 4. How much does Meera get (in ₹)?
  2. 2.Divide ₹468 between Farhan and Dev in the ratio 2 : 7. How much does Dev get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  4. 4.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  5. 5.3 : 5 = 12 : ?
  6. 6.Divide ₹608 between Ananya and Karan in the ratio 7 : 9. How much does Karan get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  8. 8.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  9. 9.Divide ₹608 between Vivaan and Arjun in the ratio 7 : 9. How much does Vivaan get (in ₹)?
  10. 10.Divide ₹260 between Sneha and Ishaan in the ratio 5 : 8. How much does Ishaan get (in ₹)?
  11. 11.10 : 4 = 20 : ?
  12. 12.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  14. 14.Divide ₹336 between Pooja and Saanvi in the ratio 3 : 5. How much does Saanvi get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
  16. 16.4 : 15 = 8 : ?
  17. 17.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  18. 18.6 : 12 = 30 : ?
  19. 19.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  20. 20.Divide ₹405 between Diya and Isha in the ratio 7 : 2. How much does Diya get (in ₹)?
  21. 21.Divide ₹215 between Rohan and Kavya in the ratio 2 : 3. How much does Rohan get (in ₹)?
  22. 22.6 : 5 = 24 : ?
  23. 23.8 : 5 = 24 : ?
  24. 24.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  25. 25.5 : 13 = 45 : ?
  26. 26.Divide ₹140 between Zoya and Manav in the ratio 5 : 9. How much does Zoya get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  28. 28.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  29. 29.Divide ₹405 between Karan and Pooja in the ratio 5 : 4. How much does Karan get (in ₹)?
  30. 30.6 : 4 = 30 : ?
  31. 31.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  32. 32.Divide ₹230 between Aarav and Ishaan in the ratio 3 : 7. How much does Aarav get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  35. 35.3 : 10 = 9 : ?
  36. 36.12 : 7 = 72 : ?
  37. 37.Divide ₹184 between Sneha and Meera in the ratio 3 : 1. How much does Sneha get (in ₹)?
  38. 38.5 : 13 = 15 : ?
  39. 39.Divide ₹195 between Diya and Vivaan in the ratio 2 : 3. How much does Diya get (in ₹)?
  40. 40.Divide ₹25 between Zoya and Manav in the ratio 3 : 2. How much does Manav get (in ₹)?

Answer key

  1. 120
  2. 364
  3. 4
  4. 80
  5. 20
  6. 342
  7. 15
  8. 18
  9. 266
  10. 160
  11. 8
  12. 14
  13. 21
  14. 210
  15. 72
  16. 30
  17. 16
  18. 60
  19. 8
  20. 315
  21. 86
  22. 20
  23. 15
  24. 48
  25. 117
  26. 50
  27. 7
  28. 63
  29. 225
  30. 20
  31. 40
  32. 69
  33. 24
  34. 14
  35. 30
  36. 42
  37. 138
  38. 39
  39. 78
  40. 10

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