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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 482 · 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.Divide ₹330 between Isha and Pooja in the ratio 3 : 8. How much does Pooja get (in ₹)?
  2. 2.11 : 6 = 99 : ?
  3. 3.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  4. 4.Divide ₹260 between Farhan and Arjun in the ratio 7 : 6. How much does Farhan get (in ₹)?
  5. 5.Divide ₹969 between Aarav and Rohan in the ratio 8 : 9. How much does Aarav get (in ₹)?
  6. 6.11 : 13 = 99 : ?
  7. 7.Divide ₹117 between Meera and Farhan in the ratio 4 : 9. How much does Farhan get (in ₹)?
  8. 8.Divide ₹918 between Diya and Karan in the ratio 8 : 9. How much does Diya get (in ₹)?
  9. 9.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  10. 10.Divide ₹90 between Meera and Karan in the ratio 7 : 3. How much does Karan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 7 : 3. There are 63 boys. How many girls are there?
  13. 13.7 : 6 = 28 : ?
  14. 14.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  17. 17.8 : 2 = 48 : ?
  18. 18.The ratio of boys to girls in a class is 3 : 5. There are 21 boys. How many girls are there?
  19. 19.11 : 14 = 99 : ?
  20. 20.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  21. 21.3 : 2 = 9 : ?
  22. 22.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  23. 23.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  24. 24.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  25. 25.7 : 12 = 28 : ?
  26. 26.Divide ₹40 between Isha and Ishaan in the ratio 1 : 7. How much does Isha get (in ₹)?
  27. 27.Divide ₹264 between Isha and Ananya in the ratio 9 : 2. How much does Ananya get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  29. 29.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  30. 30.11 : 14 = 55 : ?
  31. 31.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  32. 32.Divide ₹531 between Priya and Rohan in the ratio 1 : 8. How much does Priya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  34. 34.Divide ₹162 between Isha and Dev in the ratio 4 : 5. How much does Isha get (in ₹)?
  35. 35.Divide ₹480 between Arjun and Karan in the ratio 9 : 7. How much does Arjun get (in ₹)?
  36. 36.5 : 13 = 40 : ?
  37. 37.Divide ₹495 between Kavya and Dev in the ratio 6 : 5. How much does Dev get (in ₹)?
  38. 38.Divide ₹264 between Kavya and Meera in the ratio 5 : 6. How much does Meera get (in ₹)?
  39. 39.Divide ₹650 between Ananya and Diya in the ratio 5 : 8. How much does Ananya get (in ₹)?
  40. 40.Divide ₹15 between Ishaan and Kabir in the ratio 1 : 2. How much does Kabir get (in ₹)?

Answer key

  1. 240
  2. 54
  3. 128
  4. 140
  5. 456
  6. 117
  7. 81
  8. 432
  9. 8
  10. 27
  11. 90
  12. 27
  13. 24
  14. 9
  15. 5
  16. 48
  17. 12
  18. 35
  19. 126
  20. 150
  21. 6
  22. 50
  23. 18
  24. 20
  25. 48
  26. 5
  27. 48
  28. 42
  29. 32
  30. 70
  31. 6
  32. 59
  33. 8
  34. 72
  35. 270
  36. 104
  37. 225
  38. 144
  39. 250
  40. 10

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