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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 536 · 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.The ratio of boys to girls in a class is 8 : 3. There are 48 boys. How many girls are there?
  2. 2.Divide ₹78 between Isha and Farhan in the ratio 1 : 5. How much does Isha get (in ₹)?
  3. 3.Divide ₹125 between Nisha and Karan in the ratio 1 : 4. How much does Karan get (in ₹)?
  4. 4.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  5. 5.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  6. 6.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?
  7. 7.8 : 12 = 72 : ?
  8. 8.10 : 9 = 20 : ?
  9. 9.3 : 9 = 6 : ?
  10. 10.11 : 13 = 33 : ?
  11. 11.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  12. 12.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  13. 13.Divide ₹117 between Meera and Tara in the ratio 5 : 4. How much does Tara get (in ₹)?
  14. 14.6 : 10 = 12 : ?
  15. 15.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  16. 16.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  17. 17.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  18. 18.Divide ₹385 between Arjun and Kavya in the ratio 2 : 5. How much does Kavya get (in ₹)?
  19. 19.10 : 14 = 20 : ?
  20. 20.The ratio of boys to girls in a class is 4 : 1. There are 36 boys. How many girls are there?
  21. 21.Divide ₹55 between Diya and Zoya in the ratio 3 : 8. How much does Diya get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  24. 24.7 : 12 = 63 : ?
  25. 25.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  26. 26.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  27. 27.Divide ₹432 between Pooja and Saanvi in the ratio 7 : 1. How much does Pooja get (in ₹)?
  28. 28.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  29. 29.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  30. 30.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  31. 31.The ratio of boys to girls in a class is 8 : 7. There are 56 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  33. 33.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  34. 34.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
  35. 35.Divide ₹120 between Farhan and Nisha in the ratio 7 : 3. How much does Farhan get (in ₹)?
  36. 36.Divide ₹561 between Farhan and Kabir in the ratio 3 : 8. How much does Kabir get (in ₹)?
  37. 37.8 : 6 = 32 : ?
  38. 38.4 : 13 = 8 : ?
  39. 39.Divide ₹225 between Priya and Meera in the ratio 1 : 4. How much does Priya get (in ₹)?
  40. 40.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).

Answer key

  1. 18
  2. 13
  3. 100
  4. 28
  5. 18
  6. 70
  7. 108
  8. 18
  9. 18
  10. 39
  11. 100
  12. 2
  13. 52
  14. 20
  15. 48
  16. 36
  17. 128
  18. 275
  19. 28
  20. 9
  21. 15
  22. 14
  23. 2
  24. 108
  25. 60
  26. 63
  27. 378
  28. 32
  29. 10
  30. 8
  31. 49
  32. 10
  33. 20
  34. 32
  35. 84
  36. 408
  37. 24
  38. 26
  39. 45
  40. 32

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