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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 517 · 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 ₹195 between Zoya and Isha in the ratio 7 : 8. How much does Zoya get (in ₹)?
  2. 2.Divide ₹25 between Rohan and Arjun in the ratio 3 : 2. How much does Arjun get (in ₹)?
  3. 3.Divide ₹54 between Isha and Karan in the ratio 1 : 8. How much does Isha get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  5. 5.5 : 12 = 15 : ?
  6. 6.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  7. 7.Divide ₹598 between Sneha and Aditya in the ratio 6 : 7. How much does Sneha get (in ₹)?
  8. 8.Divide ₹145 between Sneha and Vivaan in the ratio 3 : 2. How much does Vivaan get (in ₹)?
  9. 9.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  10. 10.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  11. 11.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  12. 12.Divide ₹115 between Isha and Arjun in the ratio 4 : 1. How much does Isha get (in ₹)?
  13. 13.Divide ₹605 between Tara and Manav in the ratio 6 : 5. How much does Tara get (in ₹)?
  14. 14.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  15. 15.9 : 15 = 27 : ?
  16. 16.Divide ₹410 between Priya and Pooja in the ratio 1 : 9. How much does Pooja get (in ₹)?
  17. 17.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  18. 18.12 : 11 = 48 : ?
  19. 19.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  20. 20.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 9 : 5. There are 90 boys. How many girls are there?
  23. 23.Divide ₹546 between Nisha and Meera in the ratio 9 : 4. How much does Meera get (in ₹)?
  24. 24.6 : 11 = 24 : ?
  25. 25.5 : 6 = 15 : ?
  26. 26.4 : 8 = 20 : ?
  27. 27.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  28. 28.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  29. 29.Divide ₹462 between Nisha and Zoya in the ratio 9 : 2. How much does Zoya get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  31. 31.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  32. 32.Divide ₹154 between Rahul and Sneha in the ratio 9 : 2. How much does Sneha get (in ₹)?
  33. 33.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  34. 34.Divide ₹468 between Manav and Rahul in the ratio 8 : 1. How much does Rahul get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 6 : 7. There are 36 boys. How many girls are there?
  38. 38.10 : 11 = 80 : ?
  39. 39.2 : 8 = 12 : ?
  40. 40.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).

Answer key

  1. 91
  2. 10
  3. 6
  4. 50
  5. 36
  6. 48
  7. 276
  8. 58
  9. 63
  10. 125
  11. 15
  12. 92
  13. 330
  14. 54
  15. 45
  16. 369
  17. 200
  18. 44
  19. 27
  20. 10
  21. 8
  22. 50
  23. 168
  24. 44
  25. 18
  26. 40
  27. 16
  28. 32
  29. 84
  30. 90
  31. 18
  32. 28
  33. 20
  34. 52
  35. 12
  36. 40
  37. 42
  38. 88
  39. 48
  40. 150

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