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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 839 · 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. 1.10 : 3 = 90 : ?
  2. 2.Divide ₹140 between Karan and Farhan in the ratio 3 : 7. How much does Farhan get (in ₹)?
  3. 3.3 : 14 = 27 : ?
  4. 4.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  5. 5.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  6. 6.Divide ₹55 between Rohan and Kabir in the ratio 6 : 5. How much does Rohan get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 5 : 6. There are 40 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  9. 9.3 : 5 = 6 : ?
  10. 10.8 : 12 = 48 : ?
  11. 11.Divide ₹88 between Isha and Tara in the ratio 4 : 7. How much does Tara get (in ₹)?
  12. 12.6 : 5 = 24 : ?
  13. 13.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  14. 14.Divide ₹247 between Karan and Rahul in the ratio 4 : 9. How much does Rahul get (in ₹)?
  15. 15.Divide ₹506 between Aarav and Diya in the ratio 5 : 6. How much does Diya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 3 : 7. There are 24 boys. How many girls are there?
  18. 18.5 : 3 = 30 : ?
  19. 19.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  20. 20.Divide ₹136 between Karan and Vivaan in the ratio 7 : 1. How much does Vivaan get (in ₹)?
  21. 21.Divide ₹110 between Karan and Arjun in the ratio 7 : 3. How much does Arjun get (in ₹)?
  22. 22.Divide ₹200 between Aarav and Diya in the ratio 7 : 3. How much does Diya get (in ₹)?
  23. 23.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  24. 24.6 : 12 = 30 : ?
  25. 25.Divide ₹129 between Manav and Ishaan in the ratio 2 : 1. How much does Manav get (in ₹)?
  26. 26.2 : 7 = 14 : ?
  27. 27.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
  28. 28.Divide ₹697 between Sneha and Dev in the ratio 8 : 9. How much does Dev get (in ₹)?
  29. 29.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  30. 30.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  31. 31.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 7 : 5. There are 14 boys. How many girls are there?
  34. 34.Divide ₹408 between Isha and Aditya in the ratio 5 : 7. How much does Isha get (in ₹)?
  35. 35.Divide ₹77 between Manav and Ishaan in the ratio 7 : 4. How much does Manav get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
  37. 37.Divide ₹444 between Pooja and Nisha in the ratio 7 : 5. How much does Nisha get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  40. 40.Divide ₹60 between Rahul and Pooja in the ratio 1 : 2. How much does Rahul get (in ₹)?

Answer key

  1. 27
  2. 98
  3. 126
  4. 48
  5. 36
  6. 30
  7. 48
  8. 14
  9. 10
  10. 72
  11. 56
  12. 20
  13. 9
  14. 171
  15. 276
  16. 12
  17. 56
  18. 18
  19. 72
  20. 17
  21. 33
  22. 60
  23. 20
  24. 60
  25. 86
  26. 49
  27. 70
  28. 369
  29. 50
  30. 36
  31. 70
  32. 18
  33. 10
  34. 170
  35. 49
  36. 42
  37. 185
  38. 12
  39. 4
  40. 20

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