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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 75 · 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 ₹80 between Pooja and Vivaan in the ratio 1 : 7. How much does Vivaan get (in ₹)?
  2. 2.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  3. 3.5 : 13 = 45 : ?
  4. 4.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  5. 5.Divide ₹528 between Arjun and Farhan in the ratio 9 : 2. How much does Arjun get (in ₹)?
  6. 6.12 : 14 = 24 : ?
  7. 7.Divide ₹616 between Ananya and Pooja in the ratio 9 : 5. How much does Pooja get (in ₹)?
  8. 8.9 : 5 = 27 : ?
  9. 9.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  10. 10.6 : 4 = 36 : ?
  11. 11.Divide ₹238 between Ananya and Farhan in the ratio 3 : 4. How much does Ananya get (in ₹)?
  12. 12.Divide ₹315 between Pooja and Karan in the ratio 7 : 2. How much does Karan get (in ₹)?
  13. 13.Divide ₹343 between Arjun and Aarav in the ratio 4 : 3. How much does Aarav get (in ₹)?
  14. 14.Divide ₹280 between Manav and Isha in the ratio 1 : 9. How much does Manav get (in ₹)?
  15. 15.2 : 7 = 6 : ?
  16. 16.7 : 9 = 56 : ?
  17. 17.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  18. 18.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  19. 19.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 9 : 1. There are 45 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  24. 24.Divide ₹65 between Pooja and Zoya in the ratio 3 : 2. How much does Zoya get (in ₹)?
  25. 25.Divide ₹63 between Aarav and Manav in the ratio 4 : 3. How much does Manav get (in ₹)?
  26. 26.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  27. 27.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 9 : 7. There are 45 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  31. 31.Divide ₹296 between Ananya and Tara in the ratio 1 : 7. How much does Tara get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  33. 33.2 : 3 = 4 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 9. There are 35 boys. How many girls are there?
  35. 35.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  36. 36.Divide ₹528 between Isha and Pooja in the ratio 9 : 2. How much does Isha get (in ₹)?
  37. 37.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  38. 38.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  39. 39.Divide ₹400 between Karan and Sneha in the ratio 3 : 7. How much does Karan get (in ₹)?
  40. 40.2 : 9 = 16 : ?

Answer key

  1. 70
  2. 48
  3. 117
  4. 24
  5. 432
  6. 28
  7. 220
  8. 15
  9. 8
  10. 24
  11. 102
  12. 70
  13. 147
  14. 28
  15. 21
  16. 72
  17. 42
  18. 54
  19. 15
  20. 42
  21. 5
  22. 14
  23. 8
  24. 26
  25. 27
  26. 32
  27. 12
  28. 35
  29. 8
  30. 16
  31. 259
  32. 45
  33. 6
  34. 63
  35. 16
  36. 432
  37. 125
  38. 18
  39. 120
  40. 72

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