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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 814 · 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 3 and 6 (that is, 3 : 6 = 6 : ?).
  2. 2.7 : 3 = 21 : ?
  3. 3.Divide ₹301 between Farhan and Manav in the ratio 5 : 2. How much does Farhan get (in ₹)?
  4. 4.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  5. 5.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
  6. 6.6 : 11 = 30 : ?
  7. 7.Divide ₹95 between Meera and Diya in the ratio 3 : 2. How much does Diya get (in ₹)?
  8. 8.3 : 4 = 24 : ?
  9. 9.Divide ₹540 between Rohan and Tara in the ratio 1 : 9. How much does Tara get (in ₹)?
  10. 10.Divide ₹210 between Rohan and Rahul in the ratio 7 : 8. How much does Rohan get (in ₹)?
  11. 11.4 : 2 = 20 : ?
  12. 12.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 9 : 5. There are 81 boys. How many girls are there?
  14. 14.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  15. 15.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 9 : 7. There are 45 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  18. 18.7 : 15 = 42 : ?
  19. 19.Divide ₹84 between Farhan and Saanvi in the ratio 5 : 2. How much does Farhan get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
  21. 21.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  22. 22.Divide ₹300 between Sneha and Aditya in the ratio 1 : 4. How much does Aditya get (in ₹)?
  23. 23.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  24. 24.9 : 6 = 45 : ?
  25. 25.12 : 10 = 84 : ?
  26. 26.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  27. 27.Divide ₹364 between Kabir and Isha in the ratio 6 : 1. How much does Kabir get (in ₹)?
  28. 28.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  29. 29.Divide ₹598 between Kavya and Kabir in the ratio 4 : 9. How much does Kavya get (in ₹)?
  30. 30.Divide ₹54 between Karan and Zoya in the ratio 2 : 1. How much does Karan get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  32. 32.Divide ₹275 between Kabir and Farhan in the ratio 5 : 6. How much does Kabir get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  35. 35.Divide ₹350 between Karan and Saanvi in the ratio 2 : 5. How much does Karan get (in ₹)?
  36. 36.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  37. 37.Divide ₹385 between Saanvi and Kabir in the ratio 2 : 9. How much does Saanvi get (in ₹)?
  38. 38.Divide ₹583 between Pooja and Tara in the ratio 8 : 3. How much does Tara get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  40. 40.Divide ₹30 between Karan and Rohan in the ratio 3 : 2. How much does Karan get (in ₹)?

Answer key

  1. 12
  2. 9
  3. 215
  4. 27
  5. 9
  6. 55
  7. 38
  8. 32
  9. 486
  10. 98
  11. 10
  12. 4
  13. 45
  14. 20
  15. 36
  16. 35
  17. 15
  18. 90
  19. 60
  20. 40
  21. 24
  22. 240
  23. 175
  24. 30
  25. 70
  26. 63
  27. 312
  28. 48
  29. 184
  30. 36
  31. 28
  32. 125
  33. 8
  34. 24
  35. 100
  36. 32
  37. 70
  38. 159
  39. 49
  40. 18

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