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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 52 · 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. 1.12 : 13 = 48 : ?
  2. 2.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
  3. 3.Divide ₹264 between Ananya and Tara in the ratio 8 : 3. How much does Ananya get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  6. 6.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  7. 7.Divide ₹396 between Manav and Ishaan in the ratio 8 : 1. How much does Manav get (in ₹)?
  8. 8.Divide ₹160 between Farhan and Sneha in the ratio 3 : 1. How much does Sneha get (in ₹)?
  9. 9.5 : 12 = 20 : ?
  10. 10.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.11 : 14 = 66 : ?
  13. 13.Divide ₹247 between Isha and Diya in the ratio 8 : 5. How much does Isha get (in ₹)?
  14. 14.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  15. 15.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  16. 16.4 : 3 = 16 : ?
  17. 17.Divide ₹99 between Nisha and Saanvi in the ratio 2 : 7. How much does Nisha get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 7 : 5. There are 14 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  22. 22.Divide ₹154 between Farhan and Arjun in the ratio 4 : 7. How much does Arjun get (in ₹)?
  23. 23.4 : 2 = 20 : ?
  24. 24.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  25. 25.Divide ₹78 between Nisha and Isha in the ratio 2 : 1. How much does Nisha get (in ₹)?
  26. 26.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  27. 27.11 : 12 = 99 : ?
  28. 28.9 : 12 = 45 : ?
  29. 29.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
  30. 30.Divide ₹78 between Saanvi and Diya in the ratio 7 : 6. How much does Saanvi get (in ₹)?
  31. 31.Divide ₹450 between Tara and Rohan in the ratio 5 : 4. How much does Tara get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 5 : 6. There are 25 boys. How many girls are there?
  33. 33.9 : 8 = 36 : ?
  34. 34.Divide ₹424 between Vivaan and Isha in the ratio 7 : 1. How much does Vivaan get (in ₹)?
  35. 35.9 : 5 = 36 : ?
  36. 36.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  37. 37.Divide ₹441 between Saanvi and Rahul in the ratio 5 : 4. How much does Saanvi get (in ₹)?
  38. 38.2 : 15 = 10 : ?
  39. 39.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  40. 40.Divide ₹207 between Sneha and Pooja in the ratio 2 : 7. How much does Pooja get (in ₹)?

Answer key

  1. 52
  2. 40
  3. 192
  4. 64
  5. 42
  6. 20
  7. 352
  8. 40
  9. 48
  10. 50
  11. 18
  12. 84
  13. 152
  14. 54
  15. 112
  16. 12
  17. 22
  18. 20
  19. 10
  20. 50
  21. 72
  22. 98
  23. 10
  24. 36
  25. 52
  26. 63
  27. 108
  28. 60
  29. 35
  30. 42
  31. 250
  32. 30
  33. 32
  34. 371
  35. 20
  36. 24
  37. 245
  38. 75
  39. 18
  40. 161

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