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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 669 · 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 24 (that is, 8 : 24 = 24 : ?).
  2. 2.Divide ₹220 between Saanvi and Karan in the ratio 9 : 1. How much does Saanvi get (in ₹)?
  3. 3.7 : 3 = 21 : ?
  4. 4.4 : 3 = 36 : ?
  5. 5.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  6. 6.2 : 4 = 12 : ?
  7. 7.12 : 2 = 60 : ?
  8. 8.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?
  10. 10.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  11. 11.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  12. 12.Divide ₹500 between Arjun and Rohan in the ratio 7 : 3. How much does Arjun get (in ₹)?
  13. 13.Divide ₹90 between Pooja and Tara in the ratio 7 : 8. How much does Tara get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 7 : 4. There are 49 boys. How many girls are there?
  15. 15.Divide ₹130 between Aditya and Zoya in the ratio 8 : 5. How much does Aditya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  18. 18.8 : 5 = 56 : ?
  19. 19.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  20. 20.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  21. 21.9 : 7 = 45 : ?
  22. 22.7 : 5 = 21 : ?
  23. 23.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
  24. 24.Divide ₹580 between Kabir and Rohan in the ratio 3 : 7. How much does Kabir get (in ₹)?
  25. 25.Divide ₹407 between Manav and Priya in the ratio 6 : 5. How much does Priya get (in ₹)?
  26. 26.Divide ₹25 between Kavya and Karan in the ratio 4 : 1. How much does Kavya get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 9 : 5. There are 81 boys. How many girls are there?
  29. 29.Divide ₹325 between Meera and Rohan in the ratio 4 : 9. How much does Meera get (in ₹)?
  30. 30.Divide ₹125 between Karan and Vivaan in the ratio 2 : 3. How much does Karan get (in ₹)?
  31. 31.3 : 15 = 15 : ?
  32. 32.Divide ₹559 between Vivaan and Aarav in the ratio 5 : 8. How much does Vivaan get (in ₹)?
  33. 33.Divide ₹742 between Farhan and Saanvi in the ratio 9 : 5. How much does Farhan get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  35. 35.Divide ₹616 between Karan and Kavya in the ratio 3 : 8. How much does Kavya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  37. 37.4 : 11 = 20 : ?
  38. 38.Divide ₹140 between Karan and Aarav in the ratio 9 : 1. How much does Karan get (in ₹)?
  39. 39.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  40. 40.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?

Answer key

  1. 72
  2. 198
  3. 9
  4. 27
  5. 150
  6. 24
  7. 10
  8. 25
  9. 20
  10. 32
  11. 8
  12. 350
  13. 48
  14. 28
  15. 80
  16. 3
  17. 15
  18. 35
  19. 18
  20. 72
  21. 35
  22. 15
  23. 64
  24. 174
  25. 185
  26. 20
  27. 32
  28. 45
  29. 100
  30. 50
  31. 75
  32. 215
  33. 477
  34. 60
  35. 448
  36. 18
  37. 55
  38. 126
  39. 16
  40. 28

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