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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 281 · 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. 1.11 : 3 = 33 : ?
  2. 2.Divide ₹561 between Manav and Kabir in the ratio 4 : 7. How much does Kabir get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  4. 4.11 : 9 = 44 : ?
  5. 5.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  6. 6.10 : 15 = 80 : ?
  7. 7.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  8. 8.Divide ₹198 between Pooja and Sneha in the ratio 3 : 8. How much does Sneha get (in ₹)?
  9. 9.Divide ₹261 between Rohan and Aarav in the ratio 4 : 5. How much does Rohan get (in ₹)?
  10. 10.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  11. 11.10 : 5 = 80 : ?
  12. 12.The ratio of boys to girls in a class is 3 : 5. There are 18 boys. How many girls are there?
  13. 13.Divide ₹784 between Kavya and Manav in the ratio 9 : 7. How much does Manav get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  17. 17.10 : 15 = 50 : ?
  18. 18.The ratio of boys to girls in a class is 7 : 6. There are 42 boys. How many girls are there?
  19. 19.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  20. 20.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  21. 21.Divide ₹198 between Manav and Ananya in the ratio 8 : 1. How much does Manav get (in ₹)?
  22. 22.11 : 2 = 99 : ?
  23. 23.9 : 11 = 18 : ?
  24. 24.7 : 3 = 35 : ?
  25. 25.Divide ₹686 between Ananya and Farhan in the ratio 9 : 5. How much does Ananya get (in ₹)?
  26. 26.3 : 11 = 18 : ?
  27. 27.Divide ₹156 between Karan and Tara in the ratio 7 : 5. How much does Karan get (in ₹)?
  28. 28.9 : 7 = 18 : ?
  29. 29.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  30. 30.Divide ₹80 between Ananya and Vivaan in the ratio 1 : 9. How much does Vivaan get (in ₹)?
  31. 31.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  32. 32.Divide ₹64 between Sneha and Ishaan in the ratio 3 : 5. How much does Sneha get (in ₹)?
  33. 33.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  34. 34.Divide ₹140 between Kavya and Saanvi in the ratio 1 : 4. How much does Saanvi get (in ₹)?
  35. 35.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  36. 36.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  37. 37.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  39. 39.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  40. 40.Divide ₹252 between Manav and Kavya in the ratio 5 : 9. How much does Kavya get (in ₹)?

Answer key

  1. 9
  2. 357
  3. 10
  4. 36
  5. 75
  6. 120
  7. 32
  8. 144
  9. 116
  10. 12
  11. 40
  12. 30
  13. 343
  14. 45
  15. 70
  16. 27
  17. 75
  18. 36
  19. 36
  20. 36
  21. 176
  22. 18
  23. 22
  24. 15
  25. 441
  26. 66
  27. 91
  28. 14
  29. 8
  30. 72
  31. 20
  32. 24
  33. 48
  34. 112
  35. 24
  36. 64
  37. 56
  38. 64
  39. 63
  40. 162

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