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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 117 · 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. 1.12 : 5 = 24 : ?
  2. 2.5 : 13 = 45 : ?
  3. 3.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  4. 4.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  5. 5.7 : 13 = 42 : ?
  6. 6.Divide ₹36 between Dev and Rahul in the ratio 1 : 3. How much does Dev get (in ₹)?
  7. 7.4 : 7 = 8 : ?
  8. 8.2 : 6 = 6 : ?
  9. 9.Divide ₹374 between Isha and Nisha in the ratio 6 : 5. How much does Nisha get (in ₹)?
  10. 10.8 : 13 = 64 : ?
  11. 11.6 : 15 = 18 : ?
  12. 12.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  13. 13.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  14. 14.Divide ₹144 between Arjun and Tara in the ratio 3 : 1. How much does Arjun get (in ₹)?
  15. 15.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  16. 16.9 : 4 = 72 : ?
  17. 17.11 : 10 = 33 : ?
  18. 18.2 : 6 = 4 : ?
  19. 19.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  20. 20.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  21. 21.Divide ₹580 between Saanvi and Rohan in the ratio 1 : 9. How much does Rohan get (in ₹)?
  22. 22.2 : 9 = 10 : ?
  23. 23.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
  24. 24.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  25. 25.Divide ₹728 between Sneha and Aditya in the ratio 5 : 9. How much does Aditya get (in ₹)?
  26. 26.2 : 11 = 6 : ?
  27. 27.11 : 12 = 55 : ?
  28. 28.Divide ₹259 between Farhan and Ananya in the ratio 3 : 4. How much does Farhan get (in ₹)?
  29. 29.5 : 11 = 15 : ?
  30. 30.Divide ₹396 between Aditya and Saanvi in the ratio 4 : 7. How much does Saanvi get (in ₹)?
  31. 31.Divide ₹175 between Priya and Nisha in the ratio 5 : 2. How much does Priya get (in ₹)?
  32. 32.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  33. 33.Divide ₹280 between Sneha and Dev in the ratio 3 : 2. How much does Dev get (in ₹)?
  34. 34.Divide ₹176 between Meera and Farhan in the ratio 5 : 6. How much does Meera get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
  36. 36.Divide ₹138 between Isha and Diya in the ratio 1 : 5. How much does Isha get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  39. 39.Divide ₹210 between Nisha and Ishaan in the ratio 5 : 2. How much does Nisha get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?

Answer key

  1. 10
  2. 117
  3. 80
  4. 28
  5. 78
  6. 9
  7. 14
  8. 18
  9. 170
  10. 104
  11. 45
  12. 45
  13. 18
  14. 108
  15. 96
  16. 32
  17. 30
  18. 12
  19. 9
  20. 20
  21. 522
  22. 45
  23. 48
  24. 8
  25. 468
  26. 33
  27. 60
  28. 111
  29. 33
  30. 252
  31. 125
  32. 32
  33. 112
  34. 80
  35. 20
  36. 23
  37. 12
  38. 4
  39. 150
  40. 28

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