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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 428 · 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. 1.7 : 3 = 28 : ?
  2. 2.11 : 3 = 33 : ?
  3. 3.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  4. 4.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  5. 5.6 : 5 = 42 : ?
  6. 6.Divide ₹105 between Vivaan and Ananya in the ratio 8 : 7. How much does Ananya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  8. 8.Divide ₹627 between Nisha and Priya in the ratio 6 : 5. How much does Nisha get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  10. 10.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  11. 11.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  12. 12.Divide ₹176 between Tara and Kavya in the ratio 4 : 7. How much does Kavya get (in ₹)?
  13. 13.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  14. 14.Divide ₹90 between Manav and Priya in the ratio 2 : 3. How much does Priya get (in ₹)?
  15. 15.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  16. 16.8 : 4 = 24 : ?
  17. 17.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  18. 18.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  19. 19.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  20. 20.Divide ₹702 between Manav and Kavya in the ratio 4 : 9. How much does Kavya get (in ₹)?
  21. 21.6 : 10 = 42 : ?
  22. 22.11 : 5 = 66 : ?
  23. 23.The ratio of boys to girls in a class is 7 : 9. There are 49 boys. How many girls are there?
  24. 24.Divide ₹377 between Zoya and Diya in the ratio 6 : 7. How much does Zoya get (in ₹)?
  25. 25.8 : 2 = 40 : ?
  26. 26.2 : 8 = 4 : ?
  27. 27.Divide ₹270 between Dev and Meera in the ratio 7 : 8. How much does Dev get (in ₹)?
  28. 28.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  29. 29.11 : 4 = 88 : ?
  30. 30.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  31. 31.Divide ₹420 between Aditya and Sneha in the ratio 2 : 5. How much does Sneha get (in ₹)?
  32. 32.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  33. 33.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  34. 34.3 : 8 = 21 : ?
  35. 35.2 : 8 = 8 : ?
  36. 36.The ratio of boys to girls in a class is 9 : 5. There are 81 boys. How many girls are there?
  37. 37.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  38. 38.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  39. 39.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  40. 40.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?

Answer key

  1. 12
  2. 9
  3. 28
  4. 27
  5. 35
  6. 49
  7. 36
  8. 342
  9. 18
  10. 20
  11. 12
  12. 112
  13. 50
  14. 54
  15. 45
  16. 12
  17. 128
  18. 50
  19. 54
  20. 486
  21. 70
  22. 30
  23. 63
  24. 174
  25. 10
  26. 16
  27. 126
  28. 36
  29. 32
  30. 18
  31. 300
  32. 100
  33. 6
  34. 56
  35. 32
  36. 45
  37. 24
  38. 4
  39. 75
  40. 40

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