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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 324 · 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 ₹66 between Kabir and Meera in the ratio 4 : 7. How much does Kabir get (in ₹)?
  2. 2.Divide ₹261 between Diya and Aditya in the ratio 5 : 4. How much does Aditya get (in ₹)?
  3. 3.Divide ₹72 between Arjun and Diya in the ratio 8 : 1. How much does Diya get (in ₹)?
  4. 4.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  5. 5.Divide ₹260 between Aarav and Ishaan in the ratio 7 : 6. How much does Ishaan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 8 : 7. There are 48 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 8 : 7. There are 80 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  10. 10.Divide ₹520 between Meera and Rohan in the ratio 4 : 9. How much does Rohan get (in ₹)?
  11. 11.10 : 6 = 70 : ?
  12. 12.Divide ₹174 between Priya and Rohan in the ratio 2 : 1. How much does Priya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
  14. 14.Divide ₹715 between Priya and Diya in the ratio 8 : 5. How much does Priya get (in ₹)?
  15. 15.Divide ₹182 between Isha and Nisha in the ratio 2 : 5. How much does Isha get (in ₹)?
  16. 16.9 : 7 = 81 : ?
  17. 17.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  18. 18.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  19. 19.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  21. 21.Divide ₹451 between Aditya and Meera in the ratio 2 : 9. How much does Meera get (in ₹)?
  22. 22.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  23. 23.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  24. 24.Divide ₹918 between Zoya and Manav in the ratio 9 : 8. How much does Zoya get (in ₹)?
  25. 25.5 : 2 = 40 : ?
  26. 26.Divide ₹385 between Karan and Meera in the ratio 1 : 6. How much does Karan get (in ₹)?
  27. 27.5 : 10 = 30 : ?
  28. 28.5 : 3 = 40 : ?
  29. 29.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
  30. 30.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  31. 31.Divide ₹48 between Arjun and Priya in the ratio 3 : 1. How much does Arjun get (in ₹)?
  32. 32.10 : 5 = 30 : ?
  33. 33.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  34. 34.10 : 13 = 30 : ?
  35. 35.3 : 9 = 6 : ?
  36. 36.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
  37. 37.4 : 3 = 8 : ?
  38. 38.5 : 13 = 25 : ?
  39. 39.10 : 7 = 50 : ?
  40. 40.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?

Answer key

  1. 24
  2. 116
  3. 8
  4. 54
  5. 120
  6. 42
  7. 49
  8. 70
  9. 5
  10. 360
  11. 42
  12. 116
  13. 5
  14. 440
  15. 52
  16. 63
  17. 24
  18. 12
  19. 25
  20. 7
  21. 369
  22. 100
  23. 36
  24. 486
  25. 16
  26. 55
  27. 60
  28. 24
  29. 5
  30. 16
  31. 36
  32. 15
  33. 40
  34. 39
  35. 18
  36. 30
  37. 6
  38. 65
  39. 35
  40. 27

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