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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 628 · 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.Divide ₹168 between Diya and Rahul in the ratio 1 : 6. How much does Diya get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  3. 3.8 : 15 = 64 : ?
  4. 4.Divide ₹60 between Aditya and Meera in the ratio 7 : 5. How much does Aditya get (in ₹)?
  5. 5.Divide ₹408 between Diya and Saanvi in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  6. 6.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  7. 7.Divide ₹255 between Arjun and Vivaan in the ratio 4 : 1. How much does Vivaan get (in ₹)?
  8. 8.Divide ₹176 between Sneha and Aditya in the ratio 3 : 8. How much does Aditya get (in ₹)?
  9. 9.Divide ₹77 between Aarav and Diya in the ratio 3 : 8. How much does Diya get (in ₹)?
  10. 10.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  11. 11.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  12. 12.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  13. 13.4 : 5 = 32 : ?
  14. 14.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  15. 15.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  16. 16.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  17. 17.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  18. 18.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  19. 19.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  20. 20.7 : 2 = 56 : ?
  21. 21.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  23. 23.5 : 13 = 45 : ?
  24. 24.12 : 3 = 24 : ?
  25. 25.The ratio of boys to girls in a class is 8 : 9. There are 48 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  28. 28.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  29. 29.Divide ₹378 between Aditya and Sneha in the ratio 2 : 5. How much does Sneha get (in ₹)?
  30. 30.3 : 14 = 6 : ?
  31. 31.2 : 9 = 10 : ?
  32. 32.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  33. 33.5 : 3 = 15 : ?
  34. 34.Divide ₹312 between Aarav and Diya in the ratio 5 : 7. How much does Aarav get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  36. 36.Divide ₹550 between Dev and Farhan in the ratio 3 : 7. How much does Farhan get (in ₹)?
  37. 37.Divide ₹56 between Rohan and Pooja in the ratio 3 : 5. How much does Rohan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  39. 39.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  40. 40.Divide ₹315 between Kabir and Aditya in the ratio 7 : 8. How much does Aditya get (in ₹)?

Answer key

  1. 24
  2. 27
  3. 120
  4. 35
  5. 357
  6. 81
  7. 51
  8. 128
  9. 56
  10. 36
  11. 100
  12. 28
  13. 40
  14. 6
  15. 32
  16. 12
  17. 27
  18. 54
  19. 112
  20. 16
  21. 30
  22. 27
  23. 117
  24. 6
  25. 54
  26. 25
  27. 54
  28. 18
  29. 270
  30. 28
  31. 45
  32. 30
  33. 9
  34. 130
  35. 4
  36. 385
  37. 21
  38. 72
  39. 20
  40. 168

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