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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 559 · 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 32 (that is, 8 : 32 = 32 : ?).
  2. 2.2 : 15 = 10 : ?
  3. 3.5 : 9 = 45 : ?
  4. 4.10 : 2 = 80 : ?
  5. 5.Divide ₹816 between Ishaan and Vivaan in the ratio 7 : 9. How much does Ishaan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 5 : 3. There are 20 boys. How many girls are there?
  7. 7.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  8. 8.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  9. 9.Divide ₹279 between Arjun and Rohan in the ratio 1 : 8. How much does Rohan get (in ₹)?
  10. 10.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  11. 11.Divide ₹228 between Isha and Karan in the ratio 3 : 1. How much does Isha get (in ₹)?
  12. 12.Divide ₹630 between Farhan and Aditya in the ratio 5 : 9. How much does Farhan get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  19. 19.2 : 8 = 8 : ?
  20. 20.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  21. 21.The ratio of boys to girls in a class is 5 : 9. There are 30 boys. How many girls are there?
  22. 22.Divide ₹650 between Aarav and Zoya in the ratio 5 : 8. How much does Zoya get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
  25. 25.Divide ₹420 between Farhan and Diya in the ratio 7 : 8. How much does Farhan get (in ₹)?
  26. 26.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  27. 27.5 : 6 = 20 : ?
  28. 28.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  29. 29.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  30. 30.Divide ₹120 between Sneha and Karan in the ratio 5 : 7. How much does Karan get (in ₹)?
  31. 31.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  32. 32.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  33. 33.5 : 10 = 30 : ?
  34. 34.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  35. 35.12 : 7 = 48 : ?
  36. 36.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  37. 37.Divide ₹350 between Diya and Meera in the ratio 7 : 3. How much does Diya get (in ₹)?
  38. 38.3 : 4 = 12 : ?
  39. 39.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?

Answer key

  1. 128
  2. 75
  3. 81
  4. 16
  5. 357
  6. 12
  7. 64
  8. 54
  9. 248
  10. 75
  11. 171
  12. 225
  13. 20
  14. 40
  15. 2
  16. 12
  17. 9
  18. 42
  19. 32
  20. 28
  21. 54
  22. 400
  23. 36
  24. 32
  25. 196
  26. 81
  27. 24
  28. 54
  29. 20
  30. 70
  31. 175
  32. 16
  33. 60
  34. 36
  35. 28
  36. 36
  37. 245
  38. 16
  39. 72
  40. 30

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