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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 747 · 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. 1.7 : 2 = 49 : ?
  2. 2.Divide ₹731 between Saanvi and Aarav in the ratio 9 : 8. How much does Saanvi get (in ₹)?
  3. 3.7 : 12 = 42 : ?
  4. 4.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  5. 5.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  6. 6.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  7. 7.Divide ₹56 between Ananya and Aarav in the ratio 6 : 1. How much does Aarav get (in ₹)?
  8. 8.8 : 3 = 16 : ?
  9. 9.Divide ₹66 between Isha and Arjun in the ratio 5 : 1. How much does Isha get (in ₹)?
  10. 10.Divide ₹270 between Nisha and Diya in the ratio 8 : 7. How much does Diya get (in ₹)?
  11. 11.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  12. 12.Divide ₹928 between Aarav and Sneha in the ratio 7 : 9. How much does Aarav get (in ₹)?
  13. 13.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  14. 14.Divide ₹205 between Isha and Sneha in the ratio 4 : 1. How much does Isha get (in ₹)?
  15. 15.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  16. 16.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  17. 17.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  18. 18.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  19. 19.2 : 9 = 8 : ?
  20. 20.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  21. 21.4 : 2 = 24 : ?
  22. 22.Divide ₹78 between Priya and Tara in the ratio 5 : 1. How much does Tara get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  26. 26.3 : 7 = 27 : ?
  27. 27.5 : 14 = 15 : ?
  28. 28.Divide ₹660 between Vivaan and Nisha in the ratio 8 : 7. How much does Nisha get (in ₹)?
  29. 29.Divide ₹370 between Vivaan and Rohan in the ratio 9 : 1. How much does Rohan get (in ₹)?
  30. 30.11 : 2 = 88 : ?
  31. 31.Divide ₹272 between Vivaan and Diya in the ratio 5 : 3. How much does Vivaan get (in ₹)?
  32. 32.11 : 13 = 88 : ?
  33. 33.8 : 9 = 32 : ?
  34. 34.3 : 4 = 15 : ?
  35. 35.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  36. 36.Divide ₹315 between Manav and Kabir in the ratio 8 : 7. How much does Kabir get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
  38. 38.Divide ₹60 between Tara and Rohan in the ratio 5 : 7. How much does Rohan get (in ₹)?
  39. 39.Divide ₹400 between Aarav and Kabir in the ratio 1 : 7. How much does Aarav get (in ₹)?
  40. 40.Divide ₹84 between Meera and Farhan in the ratio 1 : 3. How much does Meera get (in ₹)?

Answer key

  1. 14
  2. 387
  3. 72
  4. 54
  5. 18
  6. 150
  7. 8
  8. 6
  9. 55
  10. 126
  11. 20
  12. 406
  13. 16
  14. 164
  15. 32
  16. 175
  17. 20
  18. 112
  19. 36
  20. 70
  21. 12
  22. 13
  23. 72
  24. 27
  25. 16
  26. 63
  27. 42
  28. 308
  29. 37
  30. 16
  31. 170
  32. 104
  33. 36
  34. 20
  35. 8
  36. 147
  37. 10
  38. 35
  39. 50
  40. 21

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