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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 207 · 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 12 (that is, 3 : 12 = 12 : ?).
  2. 2.Divide ₹289 between Diya and Sneha in the ratio 9 : 8. How much does Diya get (in ₹)?
  3. 3.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  4. 4.The ratio of boys to girls in a class is 5 : 7. There are 45 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  6. 6.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  7. 7.Divide ₹555 between Aarav and Karan in the ratio 8 : 7. How much does Karan get (in ₹)?
  8. 8.Divide ₹36 between Rohan and Pooja in the ratio 2 : 1. How much does Rohan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  10. 10.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  11. 11.2 : 8 = 8 : ?
  12. 12.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  13. 13.Divide ₹784 between Meera and Ananya in the ratio 5 : 9. How much does Ananya get (in ₹)?
  14. 14.Divide ₹294 between Ananya and Nisha in the ratio 1 : 5. How much does Ananya get (in ₹)?
  15. 15.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  16. 16.10 : 12 = 80 : ?
  17. 17.Divide ₹270 between Arjun and Isha in the ratio 9 : 1. How much does Isha get (in ₹)?
  18. 18.Divide ₹275 between Priya and Tara in the ratio 1 : 4. How much does Tara get (in ₹)?
  19. 19.9 : 6 = 81 : ?
  20. 20.2 : 5 = 10 : ?
  21. 21.The ratio of boys to girls in a class is 1 : 8. There are 7 boys. How many girls are there?
  22. 22.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  23. 23.4 : 5 = 36 : ?
  24. 24.3 : 12 = 12 : ?
  25. 25.Divide ₹270 between Farhan and Sneha in the ratio 7 : 3. How much does Sneha get (in ₹)?
  26. 26.Divide ₹403 between Dev and Tara in the ratio 9 : 4. How much does Tara get (in ₹)?
  27. 27.11 : 3 = 44 : ?
  28. 28.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  29. 29.Divide ₹260 between Aarav and Vivaan in the ratio 1 : 9. How much does Vivaan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  33. 33.5 : 11 = 25 : ?
  34. 34.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  35. 35.Divide ₹282 between Aarav and Meera in the ratio 5 : 1. How much does Aarav get (in ₹)?
  36. 36.12 : 10 = 48 : ?
  37. 37.9 : 10 = 72 : ?
  38. 38.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  39. 39.Divide ₹583 between Vivaan and Meera in the ratio 5 : 6. How much does Vivaan get (in ₹)?
  40. 40.10 : 5 = 70 : ?

Answer key

  1. 48
  2. 153
  3. 54
  4. 63
  5. 10
  6. 200
  7. 259
  8. 24
  9. 8
  10. 27
  11. 32
  12. 225
  13. 504
  14. 49
  15. 12
  16. 96
  17. 27
  18. 220
  19. 54
  20. 25
  21. 56
  22. 64
  23. 45
  24. 48
  25. 81
  26. 124
  27. 12
  28. 150
  29. 234
  30. 56
  31. 8
  32. 4
  33. 55
  34. 28
  35. 235
  36. 40
  37. 80
  38. 50
  39. 265
  40. 35

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