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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 116 · 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.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 9 : 8. There are 90 boys. How many girls are there?
  4. 4.Divide ₹140 between Aditya and Saanvi in the ratio 3 : 2. How much does Saanvi get (in ₹)?
  5. 5.Divide ₹768 between Tara and Meera in the ratio 9 : 7. How much does Meera get (in ₹)?
  6. 6.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  7. 7.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  11. 11.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  12. 12.Divide ₹697 between Priya and Vivaan in the ratio 8 : 9. How much does Priya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  16. 16.6 : 14 = 18 : ?
  17. 17.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  18. 18.Divide ₹408 between Aarav and Nisha in the ratio 1 : 7. How much does Aarav get (in ₹)?
  19. 19.3 : 5 = 27 : ?
  20. 20.3 : 15 = 18 : ?
  21. 21.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  22. 22.Divide ₹343 between Saanvi and Dev in the ratio 6 : 1. How much does Dev get (in ₹)?
  23. 23.10 : 3 = 30 : ?
  24. 24.11 : 8 = 66 : ?
  25. 25.The ratio of boys to girls in a class is 1 : 7. There are 5 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 4 : 9. There are 24 boys. How many girls are there?
  28. 28.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  29. 29.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  30. 30.3 : 12 = 27 : ?
  31. 31.8 : 5 = 16 : ?
  32. 32.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  33. 33.Divide ₹105 between Saanvi and Zoya in the ratio 8 : 7. How much does Saanvi get (in ₹)?
  34. 34.Divide ₹520 between Aditya and Kavya in the ratio 3 : 7. How much does Aditya get (in ₹)?
  35. 35.6 : 5 = 12 : ?
  36. 36.Divide ₹429 between Arjun and Ishaan in the ratio 8 : 3. How much does Arjun get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  38. 38.Divide ₹385 between Dev and Nisha in the ratio 3 : 4. How much does Dev get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  40. 40.Divide ₹64 between Manav and Aarav in the ratio 5 : 3. How much does Aarav get (in ₹)?

Answer key

  1. 6
  2. 20
  3. 80
  4. 56
  5. 336
  6. 8
  7. 21
  8. 30
  9. 21
  10. 12
  11. 50
  12. 328
  13. 20
  14. 9
  15. 27
  16. 42
  17. 72
  18. 51
  19. 45
  20. 90
  21. 24
  22. 49
  23. 9
  24. 48
  25. 35
  26. 10
  27. 54
  28. 80
  29. 100
  30. 108
  31. 10
  32. 81
  33. 56
  34. 156
  35. 10
  36. 312
  37. 7
  38. 165
  39. 32
  40. 24

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