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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 681 · 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. 1.7 : 2 = 35 : ?
  2. 2.6 : 5 = 12 : ?
  3. 3.3 : 11 = 15 : ?
  4. 4.Divide ₹495 between Zoya and Rohan in the ratio 7 : 2. How much does Rohan get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  6. 6.Divide ₹144 between Isha and Meera in the ratio 5 : 7. How much does Meera get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
  8. 8.Divide ₹165 between Aarav and Vivaan in the ratio 3 : 8. How much does Vivaan get (in ₹)?
  9. 9.Divide ₹135 between Dev and Diya in the ratio 2 : 7. How much does Diya get (in ₹)?
  10. 10.9 : 2 = 54 : ?
  11. 11.5 : 4 = 45 : ?
  12. 12.9 : 10 = 81 : ?
  13. 13.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  14. 14.Divide ₹56 between Priya and Kabir in the ratio 3 : 5. How much does Priya get (in ₹)?
  15. 15.Divide ₹187 between Pooja and Vivaan in the ratio 6 : 5. How much does Vivaan get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  17. 17.10 : 3 = 30 : ?
  18. 18.Divide ₹456 between Kabir and Kavya in the ratio 1 : 7. How much does Kabir get (in ₹)?
  19. 19.Divide ₹368 between Ananya and Dev in the ratio 7 : 9. How much does Dev get (in ₹)?
  20. 20.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  21. 21.Divide ₹248 between Dev and Farhan in the ratio 3 : 5. How much does Farhan get (in ₹)?
  22. 22.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  23. 23.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  24. 24.10 : 14 = 20 : ?
  25. 25.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  26. 26.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  27. 27.Divide ₹329 between Diya and Saanvi in the ratio 1 : 6. How much does Diya get (in ₹)?
  28. 28.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  29. 29.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  30. 30.Divide ₹572 between Ananya and Rohan in the ratio 6 : 7. How much does Rohan get (in ₹)?
  31. 31.3 : 4 = 27 : ?
  32. 32.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  33. 33.6 : 3 = 18 : ?
  34. 34.Divide ₹98 between Saanvi and Rohan in the ratio 2 : 5. How much does Saanvi get (in ₹)?
  35. 35.Divide ₹91 between Zoya and Ishaan in the ratio 5 : 8. How much does Ishaan get (in ₹)?
  36. 36.Divide ₹986 between Arjun and Pooja in the ratio 8 : 9. How much does Arjun get (in ₹)?
  37. 37.6 : 4 = 48 : ?
  38. 38.4 : 10 = 8 : ?
  39. 39.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  40. 40.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).

Answer key

  1. 10
  2. 10
  3. 55
  4. 110
  5. 7
  6. 84
  7. 10
  8. 120
  9. 105
  10. 12
  11. 36
  12. 90
  13. 36
  14. 21
  15. 85
  16. 16
  17. 9
  18. 57
  19. 207
  20. 16
  21. 155
  22. 125
  23. 112
  24. 28
  25. 2
  26. 72
  27. 47
  28. 225
  29. 50
  30. 308
  31. 36
  32. 72
  33. 9
  34. 28
  35. 56
  36. 464
  37. 32
  38. 20
  39. 81
  40. 45

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