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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 804 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹110 between Ishaan and Meera in the ratio 3 : 2. How much does Meera get (in ₹)?
  2. 2.10 : 4 = 80 : ?
  3. 3.6 : 13 = 24 : ?
  4. 4.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  5. 5.Divide ₹198 between Kabir and Zoya in the ratio 3 : 8. How much does Kabir get (in ₹)?
  6. 6.Divide ₹637 between Arjun and Rahul in the ratio 7 : 6. How much does Arjun get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
  8. 8.Divide ₹88 between Pooja and Ananya in the ratio 1 : 3. How much does Ananya get (in ₹)?
  9. 9.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  10. 10.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  11. 11.Divide ₹462 between Tara and Farhan in the ratio 6 : 5. How much does Farhan get (in ₹)?
  12. 12.Divide ₹175 between Dev and Tara in the ratio 6 : 1. How much does Tara get (in ₹)?
  13. 13.7 : 12 = 56 : ?
  14. 14.5 : 15 = 40 : ?
  15. 15.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  16. 16.7 : 15 = 14 : ?
  17. 17.2 : 7 = 16 : ?
  18. 18.7 : 14 = 21 : ?
  19. 19.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  20. 20.Divide ₹1020 between Vivaan and Pooja in the ratio 9 : 8. How much does Vivaan get (in ₹)?
  21. 21.12 : 9 = 60 : ?
  22. 22.2 : 10 = 8 : ?
  23. 23.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  24. 24.2 : 8 = 18 : ?
  25. 25.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  26. 26.8 : 6 = 24 : ?
  27. 27.Divide ₹336 between Saanvi and Ishaan in the ratio 7 : 1. How much does Saanvi get (in ₹)?
  28. 28.Divide ₹120 between Priya and Tara in the ratio 5 : 3. How much does Tara get (in ₹)?
  29. 29.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  30. 30.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  31. 31.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  32. 32.5 : 10 = 35 : ?
  33. 33.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  36. 36.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  37. 37.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  38. 38.Divide ₹338 between Dev and Farhan in the ratio 6 : 7. How much does Dev get (in ₹)?
  39. 39.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  40. 40.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).

Answer key

  1. 44
  2. 32
  3. 52
  4. 96
  5. 54
  6. 343
  7. 56
  8. 66
  9. 48
  10. 9
  11. 210
  12. 25
  13. 96
  14. 120
  15. 175
  16. 30
  17. 56
  18. 42
  19. 2
  20. 540
  21. 45
  22. 40
  23. 24
  24. 72
  25. 6
  26. 18
  27. 294
  28. 45
  29. 32
  30. 100
  31. 36
  32. 70
  33. 63
  34. 16
  35. 4
  36. 125
  37. 18
  38. 156
  39. 24
  40. 36

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