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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 744 · 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. 1.6 : 5 = 54 : ?
  2. 2.Divide ₹371 between Sneha and Isha in the ratio 6 : 1. How much does Isha get (in ₹)?
  3. 3.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  4. 4.8 : 2 = 32 : ?
  5. 5.Divide ₹72 between Nisha and Aditya in the ratio 5 : 4. How much does Nisha get (in ₹)?
  6. 6.10 : 5 = 70 : ?
  7. 7.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  8. 8.Divide ₹418 between Meera and Dev in the ratio 8 : 3. How much does Meera get (in ₹)?
  9. 9.Divide ₹171 between Saanvi and Rohan in the ratio 5 : 4. How much does Saanvi get (in ₹)?
  10. 10.Divide ₹319 between Sneha and Nisha in the ratio 8 : 3. How much does Nisha get (in ₹)?
  11. 11.6 : 15 = 24 : ?
  12. 12.6 : 12 = 12 : ?
  13. 13.Divide ₹36 between Tara and Pooja in the ratio 5 : 1. How much does Tara get (in ₹)?
  14. 14.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  15. 15.The ratio of boys to girls in a class is 9 : 1. There are 45 boys. How many girls are there?
  16. 16.Divide ₹112 between Ananya and Saanvi in the ratio 9 : 5. How much does Saanvi get (in ₹)?
  17. 17.2 : 5 = 12 : ?
  18. 18.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  19. 19.2 : 4 = 8 : ?
  20. 20.Divide ₹405 between Rahul and Saanvi in the ratio 1 : 8. How much does Rahul get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  23. 23.Divide ₹208 between Aditya and Rahul in the ratio 6 : 7. How much does Rahul get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  25. 25.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  26. 26.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  27. 27.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  30. 30.3 : 2 = 27 : ?
  31. 31.Divide ₹297 between Kavya and Zoya in the ratio 8 : 1. How much does Kavya get (in ₹)?
  32. 32.Divide ₹416 between Kabir and Isha in the ratio 4 : 9. How much does Kabir get (in ₹)?
  33. 33.8 : 2 = 48 : ?
  34. 34.10 : 2 = 50 : ?
  35. 35.5 : 6 = 20 : ?
  36. 36.Divide ₹54 between Nisha and Aarav in the ratio 1 : 5. How much does Nisha get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
  38. 38.7 : 3 = 35 : ?
  39. 39.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  40. 40.10 : 3 = 30 : ?

Answer key

  1. 45
  2. 53
  3. 54
  4. 8
  5. 40
  6. 35
  7. 200
  8. 304
  9. 95
  10. 87
  11. 60
  12. 24
  13. 30
  14. 63
  15. 5
  16. 40
  17. 30
  18. 10
  19. 16
  20. 45
  21. 12
  22. 36
  23. 112
  24. 30
  25. 150
  26. 112
  27. 40
  28. 2
  29. 10
  30. 18
  31. 264
  32. 128
  33. 12
  34. 10
  35. 24
  36. 9
  37. 20
  38. 15
  39. 32
  40. 9

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