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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 160 · 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 3 and 15 (that is, 3 : 15 = 15 : ?).
  2. 2.6 : 14 = 54 : ?
  3. 3.2 : 13 = 8 : ?
  4. 4.4 : 6 = 36 : ?
  5. 5.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  6. 6.9 : 8 = 63 : ?
  7. 7.9 : 5 = 18 : ?
  8. 8.Divide ₹279 between Aditya and Kavya in the ratio 4 : 5. How much does Kavya get (in ₹)?
  9. 9.10 : 9 = 20 : ?
  10. 10.8 : 2 = 56 : ?
  11. 11.Divide ₹572 between Tara and Ananya in the ratio 2 : 9. How much does Tara get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  14. 14.4 : 13 = 12 : ?
  15. 15.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  17. 17.5 : 6 = 15 : ?
  18. 18.Divide ₹637 between Pooja and Karan in the ratio 9 : 4. How much does Pooja get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  20. 20.Divide ₹112 between Ishaan and Manav in the ratio 3 : 5. How much does Ishaan get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 3 : 5. There are 21 boys. How many girls are there?
  23. 23.9 : 10 = 18 : ?
  24. 24.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  25. 25.Divide ₹275 between Rohan and Nisha in the ratio 1 : 4. How much does Rohan get (in ₹)?
  26. 26.12 : 10 = 96 : ?
  27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  28. 28.8 : 11 = 40 : ?
  29. 29.4 : 5 = 8 : ?
  30. 30.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  31. 31.Divide ₹168 between Kabir and Ishaan in the ratio 1 : 7. How much does Kabir get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  33. 33.7 : 4 = 28 : ?
  34. 34.10 : 7 = 30 : ?
  35. 35.9 : 13 = 54 : ?
  36. 36.8 : 7 = 40 : ?
  37. 37.Divide ₹50 between Saanvi and Kavya in the ratio 2 : 3. How much does Kavya get (in ₹)?
  38. 38.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  39. 39.Divide ₹27 between Diya and Dev in the ratio 1 : 2. How much does Dev get (in ₹)?
  40. 40.Divide ₹444 between Sneha and Meera in the ratio 5 : 7. How much does Meera get (in ₹)?

Answer key

  1. 75
  2. 126
  3. 52
  4. 54
  5. 20
  6. 56
  7. 10
  8. 155
  9. 18
  10. 14
  11. 104
  12. 24
  13. 6
  14. 39
  15. 30
  16. 12
  17. 18
  18. 441
  19. 32
  20. 42
  21. 30
  22. 35
  23. 20
  24. 45
  25. 55
  26. 80
  27. 32
  28. 55
  29. 10
  30. 144
  31. 21
  32. 20
  33. 16
  34. 21
  35. 78
  36. 35
  37. 30
  38. 28
  39. 18
  40. 259

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