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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 502 · 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 5 and 20 (that is, 5 : 20 = 20 : ?).
  2. 2.7 : 6 = 14 : ?
  3. 3.Divide ₹210 between Arjun and Pooja in the ratio 7 : 8. How much does Pooja get (in ₹)?
  4. 4.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  5. 5.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
  6. 6.3 : 12 = 18 : ?
  7. 7.Divide ₹56 between Farhan and Vivaan in the ratio 3 : 5. How much does Farhan get (in ₹)?
  8. 8.11 : 5 = 66 : ?
  9. 9.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  10. 10.Divide ₹432 between Isha and Rohan in the ratio 1 : 8. How much does Isha get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  13. 13.Divide ₹410 between Saanvi and Isha in the ratio 7 : 3. How much does Isha get (in ₹)?
  14. 14.8 : 10 = 72 : ?
  15. 15.Divide ₹580 between Aditya and Sneha in the ratio 3 : 7. How much does Aditya get (in ₹)?
  16. 16.Divide ₹477 between Meera and Manav in the ratio 7 : 2. How much does Meera get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  19. 19.Divide ₹280 between Karan and Aarav in the ratio 1 : 7. How much does Karan get (in ₹)?
  20. 20.12 : 9 = 48 : ?
  21. 21.8 : 9 = 40 : ?
  22. 22.7 : 12 = 28 : ?
  23. 23.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  24. 24.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  25. 25.Divide ₹477 between Kabir and Zoya in the ratio 5 : 4. How much does Kabir get (in ₹)?
  26. 26.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  27. 27.12 : 4 = 48 : ?
  28. 28.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  29. 29.Divide ₹144 between Ananya and Rohan in the ratio 1 : 2. How much does Ananya get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  32. 32.2 : 13 = 12 : ?
  33. 33.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  37. 37.11 : 8 = 33 : ?
  38. 38.Divide ₹210 between Meera and Ananya in the ratio 2 : 5. How much does Ananya get (in ₹)?
  39. 39.12 : 2 = 72 : ?
  40. 40.Divide ₹231 between Aditya and Kabir in the ratio 4 : 3. How much does Kabir get (in ₹)?

Answer key

  1. 80
  2. 12
  3. 112
  4. 48
  5. 36
  6. 72
  7. 21
  8. 30
  9. 14
  10. 48
  11. 25
  12. 28
  13. 123
  14. 90
  15. 174
  16. 371
  17. 50
  18. 18
  19. 35
  20. 36
  21. 45
  22. 48
  23. 32
  24. 150
  25. 265
  26. 36
  27. 16
  28. 15
  29. 48
  30. 25
  31. 48
  32. 78
  33. 28
  34. 49
  35. 14
  36. 20
  37. 24
  38. 150
  39. 12
  40. 99

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