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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 107 · 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 ₹324 between Zoya and Manav in the ratio 7 : 2. How much does Zoya get (in ₹)?
  2. 2.5 : 3 = 30 : ?
  3. 3.10 : 14 = 50 : ?
  4. 4.3 : 13 = 27 : ?
  5. 5.10 : 4 = 30 : ?
  6. 6.Divide ₹550 between Nisha and Sneha in the ratio 8 : 3. How much does Nisha get (in ₹)?
  7. 7.4 : 10 = 32 : ?
  8. 8.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  9. 9.Divide ₹506 between Aarav and Zoya in the ratio 7 : 4. How much does Aarav get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  11. 11.7 : 11 = 21 : ?
  12. 12.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  14. 14.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  15. 15.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  17. 17.11 : 15 = 55 : ?
  18. 18.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  19. 19.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  20. 20.Divide ₹333 between Priya and Saanvi in the ratio 1 : 8. How much does Priya get (in ₹)?
  21. 21.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  22. 22.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  23. 23.3 : 14 = 21 : ?
  24. 24.5 : 4 = 45 : ?
  25. 25.Divide ₹612 between Kavya and Manav in the ratio 9 : 8. How much does Manav get (in ₹)?
  26. 26.Divide ₹728 between Ishaan and Isha in the ratio 5 : 8. How much does Ishaan get (in ₹)?
  27. 27.Divide ₹36 between Sneha and Diya in the ratio 5 : 1. How much does Diya get (in ₹)?
  28. 28.11 : 4 = 22 : ?
  29. 29.Divide ₹627 between Tara and Vivaan in the ratio 8 : 3. How much does Tara get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  31. 31.Divide ₹517 between Vivaan and Nisha in the ratio 8 : 3. How much does Vivaan get (in ₹)?
  32. 32.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  33. 33.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
  34. 34.Divide ₹35 between Arjun and Isha in the ratio 6 : 1. How much does Isha get (in ₹)?
  35. 35.10 : 11 = 70 : ?
  36. 36.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  37. 37.Divide ₹180 between Sneha and Isha in the ratio 3 : 7. How much does Sneha get (in ₹)?
  38. 38.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  39. 39.Divide ₹387 between Manav and Nisha in the ratio 8 : 1. How much does Manav get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?

Answer key

  1. 252
  2. 18
  3. 70
  4. 117
  5. 12
  6. 400
  7. 80
  8. 35
  9. 322
  10. 12
  11. 33
  12. 16
  13. 30
  14. 48
  15. 14
  16. 2
  17. 75
  18. 8
  19. 32
  20. 37
  21. 96
  22. 12
  23. 98
  24. 36
  25. 288
  26. 280
  27. 6
  28. 8
  29. 456
  30. 40
  31. 376
  32. 100
  33. 49
  34. 5
  35. 77
  36. 25
  37. 54
  38. 50
  39. 344
  40. 6

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