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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 398 · 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 ₹119 between Isha and Aditya in the ratio 4 : 3. How much does Isha get (in ₹)?
  2. 2.3 : 11 = 9 : ?
  3. 3.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  4. 4.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
  6. 6.2 : 5 = 8 : ?
  7. 7.Divide ₹63 between Vivaan and Nisha in the ratio 2 : 1. How much does Nisha get (in ₹)?
  8. 8.8 : 6 = 16 : ?
  9. 9.12 : 10 = 72 : ?
  10. 10.Divide ₹513 between Pooja and Tara in the ratio 4 : 5. How much does Pooja get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  12. 12.Divide ₹280 between Nisha and Farhan in the ratio 5 : 3. How much does Nisha get (in ₹)?
  13. 13.Divide ₹300 between Priya and Ishaan in the ratio 5 : 7. How much does Ishaan get (in ₹)?
  14. 14.6 : 9 = 24 : ?
  15. 15.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  16. 16.Divide ₹406 between Priya and Farhan in the ratio 9 : 5. How much does Priya get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  19. 19.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  20. 20.8 : 10 = 32 : ?
  21. 21.Divide ₹544 between Diya and Nisha in the ratio 7 : 9. How much does Nisha get (in ₹)?
  22. 22.Divide ₹216 between Aditya and Rohan in the ratio 8 : 1. How much does Aditya get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 5 : 9. There are 45 boys. How many girls are there?
  24. 24.Divide ₹234 between Kabir and Ananya in the ratio 7 : 6. How much does Ananya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  27. 27.3 : 12 = 18 : ?
  28. 28.3 : 6 = 12 : ?
  29. 29.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
  31. 31.Divide ₹72 between Ananya and Vivaan in the ratio 5 : 3. How much does Ananya get (in ₹)?
  32. 32.6 : 9 = 18 : ?
  33. 33.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  34. 34.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  35. 35.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  36. 36.Divide ₹627 between Aditya and Meera in the ratio 6 : 5. How much does Aditya get (in ₹)?
  37. 37.2 : 4 = 18 : ?
  38. 38.The ratio of boys to girls in a class is 8 : 9. There are 48 boys. How many girls are there?
  39. 39.2 : 6 = 18 : ?
  40. 40.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?

Answer key

  1. 68
  2. 33
  3. 32
  4. 18
  5. 36
  6. 20
  7. 21
  8. 12
  9. 60
  10. 228
  11. 16
  12. 175
  13. 175
  14. 36
  15. 24
  16. 261
  17. 56
  18. 2
  19. 48
  20. 40
  21. 306
  22. 192
  23. 81
  24. 108
  25. 12
  26. 6
  27. 72
  28. 24
  29. 54
  30. 10
  31. 45
  32. 27
  33. 225
  34. 50
  35. 35
  36. 342
  37. 36
  38. 54
  39. 54
  40. 15

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