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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 200 · 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. 1.10 : 11 = 90 : ?
  2. 2.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  3. 3.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  6. 6.Divide ₹156 between Ananya and Farhan in the ratio 4 : 9. How much does Ananya get (in ₹)?
  7. 7.7 : 5 = 21 : ?
  8. 8.Divide ₹742 between Pooja and Manav in the ratio 9 : 5. How much does Manav get (in ₹)?
  9. 9.12 : 14 = 36 : ?
  10. 10.10 : 11 = 40 : ?
  11. 11.Divide ₹119 between Kabir and Meera in the ratio 1 : 6. How much does Meera get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  13. 13.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  14. 14.11 : 3 = 22 : ?
  15. 15.5 : 2 = 10 : ?
  16. 16.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  17. 17.Divide ₹368 between Vivaan and Rahul in the ratio 9 : 7. How much does Rahul get (in ₹)?
  18. 18.3 : 2 = 18 : ?
  19. 19.Divide ₹155 between Sneha and Rahul in the ratio 2 : 3. How much does Rahul get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
  21. 21.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  22. 22.Divide ₹264 between Rohan and Meera in the ratio 5 : 3. How much does Meera get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
  25. 25.3 : 4 = 9 : ?
  26. 26.Divide ₹341 between Ishaan and Aarav in the ratio 8 : 3. How much does Ishaan get (in ₹)?
  27. 27.Divide ₹70 between Nisha and Rahul in the ratio 6 : 1. How much does Rahul get (in ₹)?
  28. 28.Divide ₹90 between Arjun and Ishaan in the ratio 2 : 3. How much does Arjun get (in ₹)?
  29. 29.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  30. 30.Divide ₹612 between Manav and Arjun in the ratio 7 : 5. How much does Manav get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?
  32. 32.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  33. 33.Divide ₹570 between Zoya and Aditya in the ratio 1 : 9. How much does Zoya get (in ₹)?
  34. 34.4 : 13 = 36 : ?
  35. 35.Divide ₹152 between Rohan and Aditya in the ratio 3 : 5. How much does Aditya get (in ₹)?
  36. 36.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  37. 37.Divide ₹765 between Farhan and Kavya in the ratio 8 : 7. How much does Farhan get (in ₹)?
  38. 38.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  39. 39.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  40. 40.The ratio of boys to girls in a class is 8 : 9. There are 72 boys. How many girls are there?

Answer key

  1. 99
  2. 112
  3. 20
  4. 3
  5. 6
  6. 48
  7. 15
  8. 265
  9. 42
  10. 44
  11. 102
  12. 35
  13. 12
  14. 6
  15. 4
  16. 12
  17. 161
  18. 12
  19. 93
  20. 20
  21. 28
  22. 99
  23. 45
  24. 15
  25. 12
  26. 248
  27. 10
  28. 36
  29. 36
  30. 357
  31. 21
  32. 8
  33. 57
  34. 117
  35. 95
  36. 175
  37. 408
  38. 45
  39. 32
  40. 81

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