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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 247 · 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.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  2. 2.Divide ₹323 between Nisha and Zoya in the ratio 8 : 9. How much does Nisha get (in ₹)?
  3. 3.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  4. 4.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  5. 5.Divide ₹459 between Meera and Tara in the ratio 4 : 5. How much does Tara get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  7. 7.Divide ₹624 between Nisha and Saanvi in the ratio 9 : 4. How much does Saanvi get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  9. 9.12 : 6 = 60 : ?
  10. 10.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  11. 11.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  12. 12.The ratio of boys to girls in a class is 9 : 1. There are 45 boys. How many girls are there?
  13. 13.Divide ₹96 between Sneha and Pooja in the ratio 1 : 3. How much does Sneha get (in ₹)?
  14. 14.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  15. 15.Divide ₹75 between Karan and Saanvi in the ratio 1 : 2. How much does Karan get (in ₹)?
  16. 16.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  17. 17.Divide ₹196 between Isha and Sneha in the ratio 5 : 9. How much does Sneha get (in ₹)?
  18. 18.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  19. 19.Divide ₹330 between Farhan and Ishaan in the ratio 1 : 9. How much does Farhan get (in ₹)?
  20. 20.Divide ₹728 between Ishaan and Aarav in the ratio 4 : 9. How much does Ishaan get (in ₹)?
  21. 21.9 : 10 = 81 : ?
  22. 22.5 : 2 = 25 : ?
  23. 23.4 : 8 = 16 : ?
  24. 24.Divide ₹378 between Diya and Karan in the ratio 3 : 4. How much does Diya get (in ₹)?
  25. 25.Divide ₹697 between Saanvi and Meera in the ratio 9 : 8. How much does Meera get (in ₹)?
  26. 26.Divide ₹90 between Rohan and Aditya in the ratio 7 : 2. How much does Rohan get (in ₹)?
  27. 27.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  28. 28.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  29. 29.2 : 6 = 8 : ?
  30. 30.Divide ₹100 between Vivaan and Dev in the ratio 1 : 4. How much does Vivaan get (in ₹)?
  31. 31.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  32. 32.2 : 3 = 6 : ?
  33. 33.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  34. 34.5 : 9 = 35 : ?
  35. 35.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  36. 36.Divide ₹299 between Rohan and Nisha in the ratio 5 : 8. How much does Rohan get (in ₹)?
  37. 37.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  38. 38.The ratio of boys to girls in a class is 4 : 3. There are 8 boys. How many girls are there?
  39. 39.Divide ₹280 between Dev and Karan in the ratio 1 : 6. How much does Dev get (in ₹)?
  40. 40.Divide ₹840 between Arjun and Tara in the ratio 7 : 8. How much does Tara get (in ₹)?

Answer key

  1. 49
  2. 152
  3. 48
  4. 25
  5. 255
  6. 2
  7. 192
  8. 10
  9. 30
  10. 18
  11. 28
  12. 5
  13. 24
  14. 81
  15. 25
  16. 96
  17. 126
  18. 27
  19. 33
  20. 224
  21. 90
  22. 10
  23. 32
  24. 162
  25. 328
  26. 70
  27. 125
  28. 36
  29. 24
  30. 20
  31. 75
  32. 9
  33. 16
  34. 63
  35. 144
  36. 115
  37. 45
  38. 6
  39. 40
  40. 448

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