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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 537 · 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.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  2. 2.The ratio of boys to girls in a class is 4 : 9. There are 36 boys. How many girls are there?
  3. 3.Divide ₹102 between Nisha and Vivaan in the ratio 5 : 1. How much does Vivaan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 8 : 5. There are 32 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
  6. 6.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  7. 7.Divide ₹90 between Nisha and Zoya in the ratio 2 : 7. How much does Zoya get (in ₹)?
  8. 8.Divide ₹294 between Rahul and Farhan in the ratio 6 : 1. How much does Rahul get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 5 : 4. There are 50 boys. How many girls are there?
  10. 10.Divide ₹110 between Aditya and Manav in the ratio 1 : 9. How much does Manav get (in ₹)?
  11. 11.Divide ₹396 between Ananya and Diya in the ratio 3 : 8. How much does Diya get (in ₹)?
  12. 12.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  13. 13.Divide ₹594 between Rohan and Priya in the ratio 5 : 6. How much does Priya get (in ₹)?
  14. 14.Divide ₹544 between Aditya and Ishaan in the ratio 9 : 7. How much does Aditya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 7 : 6. There are 21 boys. How many girls are there?
  16. 16.2 : 5 = 6 : ?
  17. 17.Divide ₹121 between Aarav and Rahul in the ratio 2 : 9. How much does Aarav get (in ₹)?
  18. 18.2 : 10 = 4 : ?
  19. 19.Divide ₹470 between Karan and Rohan in the ratio 9 : 1. How much does Karan get (in ₹)?
  20. 20.3 : 9 = 27 : ?
  21. 21.Divide ₹280 between Sneha and Ishaan in the ratio 2 : 5. How much does Sneha get (in ₹)?
  22. 22.Divide ₹540 between Aarav and Nisha in the ratio 7 : 2. How much does Nisha get (in ₹)?
  23. 23.5 : 7 = 40 : ?
  24. 24.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  25. 25.Divide ₹65 between Ishaan and Arjun in the ratio 4 : 1. How much does Arjun get (in ₹)?
  26. 26.10 : 12 = 50 : ?
  27. 27.Divide ₹252 between Isha and Manav in the ratio 3 : 4. How much does Isha get (in ₹)?
  28. 28.Divide ₹252 between Aarav and Diya in the ratio 5 : 4. How much does Diya get (in ₹)?
  29. 29.Divide ₹392 between Rahul and Kabir in the ratio 5 : 9. How much does Rahul get (in ₹)?
  30. 30.6 : 4 = 54 : ?
  31. 31.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  32. 32.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  34. 34.2 : 4 = 8 : ?
  35. 35.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  36. 36.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  37. 37.12 : 10 = 60 : ?
  38. 38.9 : 15 = 54 : ?
  39. 39.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  40. 40.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?

Answer key

  1. 200
  2. 81
  3. 17
  4. 20
  5. 70
  6. 150
  7. 70
  8. 252
  9. 40
  10. 99
  11. 288
  12. 128
  13. 324
  14. 306
  15. 18
  16. 15
  17. 22
  18. 20
  19. 423
  20. 81
  21. 80
  22. 120
  23. 56
  24. 27
  25. 13
  26. 60
  27. 108
  28. 112
  29. 140
  30. 36
  31. 24
  32. 32
  33. 12
  34. 16
  35. 36
  36. 32
  37. 50
  38. 90
  39. 28
  40. 2

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