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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 171 · 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).

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  1. 1.Divide ₹240 between Priya and Zoya in the ratio 7 : 3. How much does Priya get (in ₹)?
  2. 2.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  3. 3.7 : 9 = 14 : ?
  4. 4.Divide ₹100 between Tara and Diya in the ratio 1 : 4. How much does Tara get (in ₹)?
  5. 5.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  6. 6.Divide ₹190 between Kavya and Aditya in the ratio 2 : 3. How much does Kavya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  8. 8.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  9. 9.Divide ₹272 between Meera and Isha in the ratio 3 : 5. How much does Meera get (in ₹)?
  10. 10.Divide ₹84 between Tara and Ishaan in the ratio 6 : 1. How much does Ishaan get (in ₹)?
  11. 11.2 : 6 = 12 : ?
  12. 12.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  13. 13.8 : 15 = 40 : ?
  14. 14.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  15. 15.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  16. 16.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  18. 18.Divide ₹91 between Ananya and Ishaan in the ratio 7 : 6. How much does Ananya get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 8 : 7. There are 56 boys. How many girls are there?
  20. 20.9 : 7 = 27 : ?
  21. 21.8 : 2 = 72 : ?
  22. 22.Divide ₹132 between Diya and Meera in the ratio 3 : 8. How much does Diya get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  24. 24.7 : 4 = 35 : ?
  25. 25.4 : 14 = 36 : ?
  26. 26.Divide ₹375 between Kavya and Aditya in the ratio 7 : 8. How much does Kavya get (in ₹)?
  27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  28. 28.Divide ₹224 between Arjun and Karan in the ratio 9 : 5. How much does Arjun get (in ₹)?
  29. 29.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  30. 30.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  31. 31.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  32. 32.4 : 5 = 8 : ?
  33. 33.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  34. 34.Divide ₹352 between Vivaan and Sneha in the ratio 8 : 3. How much does Sneha get (in ₹)?
  35. 35.10 : 12 = 40 : ?
  36. 36.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  37. 37.Divide ₹81 between Priya and Diya in the ratio 4 : 5. How much does Priya get (in ₹)?
  38. 38.9 : 4 = 27 : ?
  39. 39.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  40. 40.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?

Answer key

  1. 168
  2. 50
  3. 18
  4. 20
  5. 18
  6. 76
  7. 30
  8. 54
  9. 102
  10. 12
  11. 36
  12. 16
  13. 75
  14. 48
  15. 75
  16. 15
  17. 90
  18. 49
  19. 49
  20. 21
  21. 18
  22. 36
  23. 24
  24. 20
  25. 126
  26. 175
  27. 32
  28. 144
  29. 24
  30. 80
  31. 4
  32. 10
  33. 25
  34. 96
  35. 48
  36. 24
  37. 36
  38. 12
  39. 128
  40. 49

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