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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 210 · 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. 1.9 : 3 = 45 : ?
  2. 2.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  3. 3.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  4. 4.The ratio of boys to girls in a class is 8 : 3. There are 48 boys. How many girls are there?
  5. 5.8 : 13 = 24 : ?
  6. 6.9 : 11 = 18 : ?
  7. 7.The ratio of boys to girls in a class is 3 : 4. There are 9 boys. How many girls are there?
  8. 8.3 : 5 = 6 : ?
  9. 9.Divide ₹351 between Kabir and Diya in the ratio 8 : 5. How much does Diya get (in ₹)?
  10. 10.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  11. 11.Divide ₹550 between Priya and Meera in the ratio 9 : 2. How much does Priya get (in ₹)?
  12. 12.5 : 11 = 30 : ?
  13. 13.11 : 5 = 66 : ?
  14. 14.Divide ₹42 between Kabir and Farhan in the ratio 1 : 2. How much does Kabir get (in ₹)?
  15. 15.Divide ₹399 between Nisha and Isha in the ratio 5 : 2. How much does Isha get (in ₹)?
  16. 16.2 : 3 = 8 : ?
  17. 17.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  18. 18.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  19. 19.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  20. 20.Divide ₹224 between Ananya and Aarav in the ratio 3 : 4. How much does Aarav get (in ₹)?
  21. 21.2 : 7 = 6 : ?
  22. 22.Divide ₹364 between Rahul and Ananya in the ratio 1 : 6. How much does Ananya get (in ₹)?
  23. 23.Divide ₹45 between Aarav and Vivaan in the ratio 4 : 1. How much does Vivaan get (in ₹)?
  24. 24.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  25. 25.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  26. 26.Divide ₹135 between Ishaan and Arjun in the ratio 1 : 4. How much does Ishaan get (in ₹)?
  27. 27.Divide ₹378 between Vivaan and Diya in the ratio 3 : 4. How much does Vivaan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  30. 30.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  31. 31.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  32. 32.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  33. 33.Divide ₹286 between Isha and Aditya in the ratio 5 : 8. How much does Isha get (in ₹)?
  34. 34.6 : 12 = 24 : ?
  35. 35.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  37. 37.Divide ₹451 between Meera and Zoya in the ratio 9 : 2. How much does Meera get (in ₹)?
  38. 38.12 : 7 = 48 : ?
  39. 39.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
  40. 40.Divide ₹80 between Tara and Saanvi in the ratio 1 : 3. How much does Saanvi get (in ₹)?

Answer key

  1. 15
  2. 45
  3. 225
  4. 18
  5. 39
  6. 22
  7. 12
  8. 10
  9. 135
  10. 12
  11. 450
  12. 66
  13. 30
  14. 14
  15. 114
  16. 12
  17. 80
  18. 50
  19. 8
  20. 128
  21. 21
  22. 312
  23. 9
  24. 24
  25. 27
  26. 27
  27. 162
  28. 21
  29. 36
  30. 27
  31. 36
  32. 125
  33. 110
  34. 48
  35. 63
  36. 50
  37. 369
  38. 28
  39. 54
  40. 60

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