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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 220 · 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.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
  2. 2.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  3. 3.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  4. 4.Divide ₹265 between Nisha and Ananya in the ratio 3 : 2. How much does Nisha get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  6. 6.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  7. 7.8 : 10 = 32 : ?
  8. 8.7 : 4 = 63 : ?
  9. 9.Divide ₹297 between Karan and Saanvi in the ratio 4 : 5. How much does Saanvi get (in ₹)?
  10. 10.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  11. 11.Divide ₹576 between Karan and Priya in the ratio 7 : 9. How much does Karan get (in ₹)?
  12. 12.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  13. 13.6 : 3 = 24 : ?
  14. 14.Divide ₹780 between Kabir and Dev in the ratio 6 : 7. How much does Dev get (in ₹)?
  15. 15.Divide ₹98 between Isha and Diya in the ratio 4 : 3. How much does Isha get (in ₹)?
  16. 16.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  17. 17.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  19. 19.Divide ₹540 between Rohan and Aditya in the ratio 5 : 4. How much does Aditya get (in ₹)?
  20. 20.12 : 5 = 24 : ?
  21. 21.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  22. 22.Divide ₹308 between Kabir and Vivaan in the ratio 6 : 1. How much does Vivaan get (in ₹)?
  23. 23.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  24. 24.12 : 5 = 48 : ?
  25. 25.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  26. 26.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  27. 27.Divide ₹506 between Isha and Arjun in the ratio 5 : 6. How much does Arjun get (in ₹)?
  28. 28.2 : 6 = 12 : ?
  29. 29.Divide ₹735 between Isha and Kavya in the ratio 7 : 8. How much does Isha get (in ₹)?
  30. 30.10 : 13 = 70 : ?
  31. 31.Divide ₹364 between Tara and Diya in the ratio 5 : 2. How much does Tara get (in ₹)?
  32. 32.Divide ₹297 between Karan and Meera in the ratio 7 : 4. How much does Meera get (in ₹)?
  33. 33.Divide ₹245 between Saanvi and Ishaan in the ratio 4 : 3. How much does Saanvi get (in ₹)?
  34. 34.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  35. 35.7 : 3 = 21 : ?
  36. 36.Divide ₹133 between Isha and Saanvi in the ratio 1 : 6. How much does Isha get (in ₹)?
  37. 37.6 : 12 = 36 : ?
  38. 38.Divide ₹60 between Pooja and Isha in the ratio 2 : 3. How much does Isha get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  40. 40.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).

Answer key

  1. 5
  2. 16
  3. 20
  4. 159
  5. 10
  6. 80
  7. 40
  8. 36
  9. 165
  10. 18
  11. 252
  12. 36
  13. 12
  14. 420
  15. 56
  16. 32
  17. 27
  18. 12
  19. 240
  20. 10
  21. 7
  22. 44
  23. 75
  24. 20
  25. 100
  26. 2
  27. 276
  28. 36
  29. 343
  30. 91
  31. 260
  32. 108
  33. 140
  34. 36
  35. 9
  36. 19
  37. 72
  38. 36
  39. 32
  40. 150

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