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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 634 · 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. 1.6 : 3 = 12 : ?
  2. 2.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  3. 3.2 : 13 = 8 : ?
  4. 4.11 : 8 = 99 : ?
  5. 5.11 : 9 = 33 : ?
  6. 6.10 : 7 = 50 : ?
  7. 7.12 : 15 = 72 : ?
  8. 8.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  9. 9.6 : 12 = 30 : ?
  10. 10.6 : 12 = 48 : ?
  11. 11.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  12. 12.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  13. 13.5 : 12 = 25 : ?
  14. 14.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  15. 15.6 : 11 = 48 : ?
  16. 16.Divide ₹280 between Nisha and Arjun in the ratio 9 : 5. How much does Arjun get (in ₹)?
  17. 17.8 : 15 = 64 : ?
  18. 18.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  19. 19.8 : 3 = 56 : ?
  20. 20.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  21. 21.11 : 8 = 55 : ?
  22. 22.3 : 9 = 21 : ?
  23. 23.Divide ₹54 between Dev and Zoya in the ratio 4 : 5. How much does Dev get (in ₹)?
  24. 24.Divide ₹420 between Karan and Kabir in the ratio 4 : 3. How much does Karan get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  27. 27.Divide ₹324 between Vivaan and Kavya in the ratio 1 : 5. How much does Kavya get (in ₹)?
  28. 28.9 : 7 = 27 : ?
  29. 29.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  30. 30.Divide ₹252 between Aarav and Saanvi in the ratio 5 : 9. How much does Aarav get (in ₹)?
  31. 31.Divide ₹585 between Saanvi and Rohan in the ratio 8 : 7. How much does Saanvi get (in ₹)?
  32. 32.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  33. 33.6 : 13 = 48 : ?
  34. 34.11 : 6 = 22 : ?
  35. 35.7 : 10 = 28 : ?
  36. 36.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  37. 37.2 : 7 = 18 : ?
  38. 38.5 : 15 = 25 : ?
  39. 39.Divide ₹306 between Farhan and Nisha in the ratio 7 : 2. How much does Nisha get (in ₹)?
  40. 40.Divide ₹392 between Vivaan and Meera in the ratio 5 : 9. How much does Meera get (in ₹)?

Answer key

  1. 6
  2. 18
  3. 52
  4. 72
  5. 27
  6. 35
  7. 90
  8. 144
  9. 60
  10. 96
  11. 63
  12. 50
  13. 60
  14. 12
  15. 88
  16. 100
  17. 120
  18. 10
  19. 21
  20. 6
  21. 40
  22. 63
  23. 24
  24. 240
  25. 54
  26. 12
  27. 270
  28. 21
  29. 225
  30. 90
  31. 312
  32. 32
  33. 104
  34. 12
  35. 40
  36. 125
  37. 63
  38. 75
  39. 68
  40. 252

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