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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 394 · 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 9 : 7. There are 18 boys. How many girls are there?
  2. 2.Divide ₹319 between Kabir and Isha in the ratio 6 : 5. How much does Isha get (in ₹)?
  3. 3.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  4. 4.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  5. 5.Divide ₹120 between Rohan and Dev in the ratio 9 : 1. How much does Rohan get (in ₹)?
  6. 6.7 : 13 = 35 : ?
  7. 7.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
  8. 8.11 : 10 = 77 : ?
  9. 9.Divide ₹390 between Karan and Aarav in the ratio 3 : 7. How much does Karan get (in ₹)?
  10. 10.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  11. 11.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  12. 12.Divide ₹140 between Manav and Kavya in the ratio 2 : 3. How much does Manav get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  14. 14.Divide ₹240 between Zoya and Kavya in the ratio 4 : 1. How much does Zoya get (in ₹)?
  15. 15.Divide ₹63 between Nisha and Dev in the ratio 1 : 2. How much does Nisha get (in ₹)?
  16. 16.Divide ₹243 between Rahul and Aditya in the ratio 4 : 5. How much does Rahul get (in ₹)?
  17. 17.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  18. 18.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  19. 19.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  20. 20.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  21. 21.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  24. 24.8 : 10 = 16 : ?
  25. 25.9 : 12 = 27 : ?
  26. 26.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
  27. 27.Divide ₹583 between Meera and Vivaan in the ratio 5 : 6. How much does Vivaan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
  29. 29.4 : 6 = 8 : ?
  30. 30.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  31. 31.7 : 2 = 14 : ?
  32. 32.11 : 6 = 99 : ?
  33. 33.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  34. 34.2 : 10 = 6 : ?
  35. 35.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
  36. 36.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  37. 37.Divide ₹390 between Zoya and Farhan in the ratio 7 : 8. How much does Farhan get (in ₹)?
  38. 38.2 : 10 = 8 : ?
  39. 39.9 : 4 = 72 : ?
  40. 40.12 : 7 = 108 : ?

Answer key

  1. 14
  2. 145
  3. 96
  4. 16
  5. 108
  6. 65
  7. 7
  8. 70
  9. 117
  10. 81
  11. 3
  12. 56
  13. 27
  14. 192
  15. 21
  16. 108
  17. 36
  18. 63
  19. 32
  20. 112
  21. 21
  22. 48
  23. 60
  24. 20
  25. 36
  26. 72
  27. 318
  28. 42
  29. 12
  30. 28
  31. 4
  32. 54
  33. 128
  34. 30
  35. 42
  36. 200
  37. 208
  38. 40
  39. 32
  40. 63

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