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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 607 · 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.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  3. 3.Divide ₹364 between Ishaan and Arjun in the ratio 6 : 1. How much does Arjun get (in ₹)?
  4. 4.Divide ₹260 between Meera and Zoya in the ratio 8 : 5. How much does Zoya get (in ₹)?
  5. 5.Divide ₹572 between Sneha and Farhan in the ratio 4 : 7. How much does Sneha get (in ₹)?
  6. 6.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  7. 7.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  8. 8.Divide ₹430 between Aditya and Diya in the ratio 3 : 7. How much does Aditya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  10. 10.Divide ₹418 between Kabir and Aditya in the ratio 9 : 2. How much does Kabir get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 9 : 2. There are 81 boys. How many girls are there?
  12. 12.2 : 4 = 16 : ?
  13. 13.Divide ₹98 between Rohan and Ananya in the ratio 4 : 3. How much does Ananya get (in ₹)?
  14. 14.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  15. 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  16. 16.Divide ₹464 between Nisha and Meera in the ratio 7 : 1. How much does Nisha get (in ₹)?
  17. 17.10 : 8 = 40 : ?
  18. 18.12 : 6 = 96 : ?
  19. 19.Divide ₹15 between Dev and Nisha in the ratio 2 : 1. How much does Dev get (in ₹)?
  20. 20.Divide ₹105 between Aditya and Ishaan in the ratio 7 : 8. How much does Aditya get (in ₹)?
  21. 21.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  22. 22.The ratio of boys to girls in a class is 6 : 7. There are 60 boys. How many girls are there?
  23. 23.Divide ₹460 between Arjun and Rahul in the ratio 9 : 1. How much does Arjun get (in ₹)?
  24. 24.Divide ₹230 between Aditya and Farhan in the ratio 1 : 9. How much does Farhan get (in ₹)?
  25. 25.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  26. 26.Divide ₹637 between Pooja and Ananya in the ratio 4 : 9. How much does Ananya get (in ₹)?
  27. 27.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  28. 28.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  29. 29.3 : 14 = 9 : ?
  30. 30.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  31. 31.8 : 3 = 24 : ?
  32. 32.The ratio of boys to girls in a class is 7 : 3. There are 35 boys. How many girls are there?
  33. 33.Divide ₹360 between Ananya and Priya in the ratio 7 : 2. How much does Priya get (in ₹)?
  34. 34.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  35. 35.8 : 3 = 48 : ?
  36. 36.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  37. 37.Divide ₹450 between Diya and Rohan in the ratio 7 : 2. How much does Rohan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  39. 39.5 : 14 = 30 : ?
  40. 40.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?

Answer key

  1. 10
  2. 20
  3. 52
  4. 100
  5. 208
  6. 48
  7. 32
  8. 129
  9. 9
  10. 342
  11. 18
  12. 32
  13. 42
  14. 12
  15. 64
  16. 406
  17. 32
  18. 48
  19. 10
  20. 49
  21. 20
  22. 70
  23. 414
  24. 207
  25. 75
  26. 441
  27. 45
  28. 21
  29. 42
  30. 81
  31. 9
  32. 15
  33. 80
  34. 100
  35. 18
  36. 4
  37. 100
  38. 5
  39. 84
  40. 4

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