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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 796 · 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 10 (that is, 5 : 10 = 10 : ?).
  2. 2.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  3. 3.Divide ₹352 between Sneha and Nisha in the ratio 5 : 3. How much does Sneha get (in ₹)?
  4. 4.6 : 10 = 54 : ?
  5. 5.5 : 4 = 40 : ?
  6. 6.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  7. 7.Divide ₹84 between Aditya and Meera in the ratio 9 : 5. How much does Meera get (in ₹)?
  8. 8.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  9. 9.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  10. 10.Divide ₹310 between Kavya and Arjun in the ratio 1 : 9. How much does Kavya get (in ₹)?
  11. 11.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  12. 12.10 : 4 = 80 : ?
  13. 13.The ratio of boys to girls in a class is 1 : 8. There are 7 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 6 : 7. There are 30 boys. How many girls are there?
  15. 15.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  16. 16.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  18. 18.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  19. 19.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  20. 20.9 : 4 = 72 : ?
  21. 21.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
  23. 23.4 : 13 = 16 : ?
  24. 24.4 : 11 = 20 : ?
  25. 25.Divide ₹728 between Rahul and Diya in the ratio 9 : 5. How much does Diya get (in ₹)?
  26. 26.Divide ₹240 between Diya and Zoya in the ratio 3 : 1. How much does Diya get (in ₹)?
  27. 27.9 : 12 = 27 : ?
  28. 28.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  29. 29.7 : 13 = 14 : ?
  30. 30.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
  31. 31.Divide ₹175 between Priya and Ishaan in the ratio 1 : 6. How much does Priya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  34. 34.Divide ₹78 between Rahul and Manav in the ratio 4 : 9. How much does Manav get (in ₹)?
  35. 35.Divide ₹66 between Kabir and Aarav in the ratio 3 : 8. How much does Kabir get (in ₹)?
  36. 36.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  37. 37.Divide ₹195 between Farhan and Priya in the ratio 7 : 8. How much does Priya get (in ₹)?
  38. 38.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  39. 39.5 : 4 = 35 : ?
  40. 40.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?

Answer key

  1. 20
  2. 175
  3. 220
  4. 90
  5. 32
  6. 24
  7. 30
  8. 54
  9. 27
  10. 31
  11. 28
  12. 32
  13. 56
  14. 35
  15. 8
  16. 60
  17. 12
  18. 16
  19. 81
  20. 32
  21. 12
  22. 25
  23. 52
  24. 55
  25. 260
  26. 180
  27. 36
  28. 12
  29. 26
  30. 32
  31. 25
  32. 8
  33. 10
  34. 54
  35. 18
  36. 100
  37. 104
  38. 32
  39. 28
  40. 80

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