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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 479 · 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 2 and 8 (that is, 2 : 8 = 8 : ?).
  2. 2.8 : 7 = 56 : ?
  3. 3.7 : 3 = 42 : ?
  4. 4.Divide ₹247 between Karan and Manav in the ratio 7 : 6. How much does Manav get (in ₹)?
  5. 5.2 : 7 = 10 : ?
  6. 6.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  7. 7.4 : 12 = 16 : ?
  8. 8.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  10. 10.Divide ₹280 between Rohan and Zoya in the ratio 2 : 3. How much does Rohan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  12. 12.Divide ₹308 between Manav and Arjun in the ratio 3 : 4. How much does Arjun get (in ₹)?
  13. 13.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  14. 14.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  15. 15.Divide ₹120 between Farhan and Isha in the ratio 1 : 2. How much does Isha get (in ₹)?
  16. 16.Divide ₹260 between Farhan and Diya in the ratio 8 : 5. How much does Farhan get (in ₹)?
  17. 17.Divide ₹297 between Priya and Aarav in the ratio 4 : 7. How much does Priya get (in ₹)?
  18. 18.2 : 11 = 16 : ?
  19. 19.Divide ₹112 between Arjun and Isha in the ratio 7 : 9. How much does Isha get (in ₹)?
  20. 20.Divide ₹168 between Nisha and Aditya in the ratio 1 : 2. How much does Aditya get (in ₹)?
  21. 21.9 : 2 = 36 : ?
  22. 22.7 : 11 = 49 : ?
  23. 23.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  24. 24.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  26. 26.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  27. 27.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  28. 28.Divide ₹396 between Zoya and Nisha in the ratio 6 : 5. How much does Nisha get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  30. 30.Divide ₹435 between Sneha and Aditya in the ratio 7 : 8. How much does Sneha get (in ₹)?
  31. 31.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  32. 32.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  33. 33.11 : 5 = 99 : ?
  34. 34.10 : 7 = 40 : ?
  35. 35.3 : 15 = 9 : ?
  36. 36.Divide ₹329 between Tara and Rahul in the ratio 2 : 5. How much does Rahul get (in ₹)?
  37. 37.6 : 5 = 42 : ?
  38. 38.Divide ₹75 between Ananya and Priya in the ratio 4 : 1. How much does Priya get (in ₹)?
  39. 39.8 : 5 = 48 : ?
  40. 40.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).

Answer key

  1. 32
  2. 49
  3. 18
  4. 114
  5. 35
  6. 8
  7. 48
  8. 10
  9. 4
  10. 112
  11. 24
  12. 176
  13. 50
  14. 3
  15. 80
  16. 160
  17. 108
  18. 88
  19. 63
  20. 112
  21. 8
  22. 77
  23. 24
  24. 9
  25. 48
  26. 18
  27. 2
  28. 180
  29. 15
  30. 203
  31. 28
  32. 35
  33. 45
  34. 28
  35. 45
  36. 235
  37. 35
  38. 15
  39. 30
  40. 128

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