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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 61 · 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. 1.6 : 2 = 42 : ?
  2. 2.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  3. 3.9 : 2 = 54 : ?
  4. 4.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
  5. 5.Divide ₹60 between Diya and Saanvi in the ratio 1 : 9. How much does Saanvi get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
  7. 7.7 : 5 = 14 : ?
  8. 8.8 : 6 = 48 : ?
  9. 9.Divide ₹135 between Vivaan and Zoya in the ratio 5 : 4. How much does Zoya get (in ₹)?
  10. 10.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  11. 11.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  12. 12.Divide ₹65 between Ishaan and Zoya in the ratio 3 : 2. How much does Ishaan get (in ₹)?
  13. 13.11 : 15 = 55 : ?
  14. 14.5 : 14 = 40 : ?
  15. 15.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  16. 16.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  17. 17.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  19. 19.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  20. 20.11 : 8 = 99 : ?
  21. 21.Divide ₹330 between Kabir and Sneha in the ratio 9 : 2. How much does Kabir get (in ₹)?
  22. 22.6 : 14 = 12 : ?
  23. 23.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  24. 24.4 : 6 = 16 : ?
  25. 25.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  26. 26.Divide ₹330 between Vivaan and Arjun in the ratio 7 : 4. How much does Arjun get (in ₹)?
  27. 27.Divide ₹48 between Karan and Rahul in the ratio 1 : 3. How much does Rahul get (in ₹)?
  28. 28.10 : 2 = 30 : ?
  29. 29.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  30. 30.Divide ₹616 between Arjun and Sneha in the ratio 6 : 5. How much does Arjun get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  33. 33.Divide ₹731 between Diya and Rahul in the ratio 9 : 8. How much does Diya get (in ₹)?
  34. 34.Divide ₹280 between Zoya and Aditya in the ratio 4 : 1. How much does Aditya get (in ₹)?
  35. 35.Divide ₹484 between Meera and Zoya in the ratio 8 : 3. How much does Meera get (in ₹)?
  36. 36.Divide ₹234 between Pooja and Ananya in the ratio 9 : 4. How much does Ananya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  38. 38.9 : 10 = 72 : ?
  39. 39.8 : 6 = 24 : ?
  40. 40.Divide ₹442 between Farhan and Kabir in the ratio 9 : 4. How much does Kabir get (in ₹)?

Answer key

  1. 14
  2. 32
  3. 12
  4. 32
  5. 54
  6. 14
  7. 10
  8. 36
  9. 60
  10. 28
  11. 45
  12. 39
  13. 75
  14. 112
  15. 128
  16. 72
  17. 12
  18. 30
  19. 112
  20. 72
  21. 270
  22. 28
  23. 12
  24. 24
  25. 32
  26. 120
  27. 36
  28. 6
  29. 18
  30. 336
  31. 8
  32. 25
  33. 387
  34. 56
  35. 352
  36. 72
  37. 30
  38. 80
  39. 18
  40. 136

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