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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 168 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹600 between Diya and Nisha in the ratio 9 : 1. How much does Diya get (in ₹)?
  2. 2.3 : 2 = 6 : ?
  3. 3.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  4. 4.8 : 13 = 32 : ?
  5. 5.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  6. 6.Divide ₹150 between Manav and Rohan in the ratio 4 : 1. How much does Rohan get (in ₹)?
  7. 7.Divide ₹35 between Vivaan and Pooja in the ratio 3 : 2. How much does Vivaan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 5 : 9. There are 35 boys. How many girls are there?
  9. 9.10 : 4 = 20 : ?
  10. 10.Divide ₹133 between Pooja and Aarav in the ratio 4 : 3. How much does Aarav get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  12. 12.7 : 10 = 56 : ?
  13. 13.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  14. 14.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  15. 15.7 : 6 = 28 : ?
  16. 16.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  17. 17.Divide ₹308 between Isha and Meera in the ratio 3 : 8. How much does Meera get (in ₹)?
  18. 18.5 : 6 = 30 : ?
  19. 19.Divide ₹468 between Rohan and Nisha in the ratio 7 : 2. How much does Rohan get (in ₹)?
  20. 20.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  21. 21.6 : 9 = 42 : ?
  22. 22.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  23. 23.12 : 7 = 48 : ?
  24. 24.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  25. 25.Divide ₹315 between Kabir and Vivaan in the ratio 2 : 7. How much does Vivaan get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  28. 28.12 : 9 = 96 : ?
  29. 29.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
  30. 30.Divide ₹208 between Isha and Zoya in the ratio 7 : 9. How much does Isha get (in ₹)?
  31. 31.Divide ₹255 between Ananya and Arjun in the ratio 8 : 7. How much does Ananya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  33. 33.Divide ₹156 between Vivaan and Karan in the ratio 7 : 6. How much does Karan get (in ₹)?
  34. 34.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  35. 35.Divide ₹520 between Priya and Farhan in the ratio 6 : 7. How much does Priya get (in ₹)?
  36. 36.9 : 15 = 63 : ?
  37. 37.Divide ₹704 between Manav and Sneha in the ratio 7 : 9. How much does Manav get (in ₹)?
  38. 38.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  39. 39.Divide ₹376 between Aarav and Manav in the ratio 7 : 1. How much does Aarav get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?

Answer key

  1. 540
  2. 4
  3. 48
  4. 52
  5. 36
  6. 30
  7. 21
  8. 63
  9. 8
  10. 57
  11. 21
  12. 80
  13. 24
  14. 35
  15. 24
  16. 54
  17. 224
  18. 36
  19. 364
  20. 28
  21. 63
  22. 100
  23. 28
  24. 16
  25. 245
  26. 6
  27. 35
  28. 72
  29. 36
  30. 91
  31. 136
  32. 45
  33. 72
  34. 144
  35. 240
  36. 105
  37. 308
  38. 125
  39. 329
  40. 16

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