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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 978 · 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.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  2. 2.Divide ₹209 between Kavya and Karan in the ratio 2 : 9. How much does Karan get (in ₹)?
  3. 3.2 : 13 = 14 : ?
  4. 4.The ratio of boys to girls in a class is 9 : 4. There are 63 boys. How many girls are there?
  5. 5.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  6. 6.8 : 2 = 56 : ?
  7. 7.6 : 8 = 42 : ?
  8. 8.Divide ₹280 between Vivaan and Priya in the ratio 4 : 1. How much does Priya get (in ₹)?
  9. 9.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  10. 10.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  11. 11.12 : 11 = 72 : ?
  12. 12.10 : 15 = 80 : ?
  13. 13.7 : 15 = 42 : ?
  14. 14.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  15. 15.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  16. 16.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  17. 17.Divide ₹210 between Manav and Tara in the ratio 9 : 1. How much does Manav get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 6 : 7. There are 42 boys. How many girls are there?
  19. 19.Divide ₹315 between Manav and Saanvi in the ratio 1 : 8. How much does Saanvi get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
  22. 22.5 : 14 = 30 : ?
  23. 23.6 : 2 = 24 : ?
  24. 24.Divide ₹252 between Isha and Saanvi in the ratio 9 : 5. How much does Saanvi get (in ₹)?
  25. 25.10 : 13 = 40 : ?
  26. 26.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
  27. 27.Divide ₹343 between Manav and Tara in the ratio 1 : 6. How much does Manav get (in ₹)?
  28. 28.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  29. 29.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  30. 30.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  31. 31.7 : 2 = 21 : ?
  32. 32.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  33. 33.4 : 5 = 12 : ?
  34. 34.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  35. 35.Divide ₹44 between Farhan and Manav in the ratio 1 : 3. How much does Manav get (in ₹)?
  36. 36.Divide ₹72 between Tara and Pooja in the ratio 7 : 5. How much does Pooja get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  38. 38.12 : 6 = 96 : ?
  39. 39.3 : 15 = 12 : ?
  40. 40.Divide ₹72 between Vivaan and Arjun in the ratio 1 : 3. How much does Arjun get (in ₹)?

Answer key

  1. 20
  2. 171
  3. 91
  4. 28
  5. 100
  6. 14
  7. 56
  8. 56
  9. 144
  10. 81
  11. 66
  12. 120
  13. 90
  14. 21
  15. 45
  16. 54
  17. 189
  18. 49
  19. 280
  20. 8
  21. 9
  22. 84
  23. 8
  24. 90
  25. 52
  26. 32
  27. 49
  28. 50
  29. 16
  30. 12
  31. 6
  32. 150
  33. 15
  34. 175
  35. 33
  36. 30
  37. 21
  38. 48
  39. 60
  40. 54

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