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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 715 · 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 7 : 5. There are 42 boys. How many girls are there?
  2. 2.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  3. 3.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  4. 4.Divide ₹273 between Manav and Karan in the ratio 5 : 2. How much does Manav get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  7. 7.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  8. 8.Divide ₹392 between Aarav and Ananya in the ratio 5 : 2. How much does Aarav get (in ₹)?
  9. 9.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  10. 10.5 : 6 = 15 : ?
  11. 11.6 : 2 = 12 : ?
  12. 12.3 : 8 = 15 : ?
  13. 13.Divide ₹63 between Tara and Priya in the ratio 1 : 8. How much does Tara get (in ₹)?
  14. 14.Divide ₹184 between Meera and Rahul in the ratio 7 : 1. How much does Rahul get (in ₹)?
  15. 15.10 : 2 = 90 : ?
  16. 16.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  21. 21.12 : 2 = 84 : ?
  22. 22.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  23. 23.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  24. 24.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  25. 25.5 : 2 = 30 : ?
  26. 26.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  27. 27.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  28. 28.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  29. 29.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  30. 30.Divide ₹126 between Manav and Saanvi in the ratio 1 : 6. How much does Saanvi get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  32. 32.Divide ₹165 between Tara and Meera in the ratio 7 : 4. How much does Meera get (in ₹)?
  33. 33.4 : 11 = 16 : ?
  34. 34.Divide ₹102 between Priya and Rohan in the ratio 8 : 9. How much does Priya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  37. 37.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  38. 38.Divide ₹150 between Manav and Tara in the ratio 8 : 7. How much does Tara get (in ₹)?
  39. 39.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  40. 40.Divide ₹150 between Isha and Ananya in the ratio 3 : 7. How much does Ananya get (in ₹)?

Answer key

  1. 30
  2. 175
  3. 24
  4. 195
  5. 45
  6. 21
  7. 64
  8. 280
  9. 63
  10. 18
  11. 4
  12. 40
  13. 7
  14. 23
  15. 18
  16. 80
  17. 40
  18. 12
  19. 24
  20. 10
  21. 14
  22. 32
  23. 14
  24. 96
  25. 12
  26. 24
  27. 200
  28. 50
  29. 45
  30. 108
  31. 18
  32. 60
  33. 44
  34. 48
  35. 15
  36. 90
  37. 8
  38. 70
  39. 27
  40. 105

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