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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 900 · 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 2 : 5. There are 10 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 6 : 5. There are 60 boys. How many girls are there?
  4. 4.4 : 12 = 32 : ?
  5. 5.8 : 5 = 32 : ?
  6. 6.6 : 2 = 54 : ?
  7. 7.Divide ₹352 between Rohan and Aditya in the ratio 1 : 7. How much does Rohan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  10. 10.7 : 12 = 49 : ?
  11. 11.Divide ₹66 between Karan and Aditya in the ratio 6 : 5. How much does Karan get (in ₹)?
  12. 12.10 : 2 = 30 : ?
  13. 13.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  14. 14.Divide ₹390 between Kavya and Arjun in the ratio 9 : 4. How much does Arjun get (in ₹)?
  15. 15.7 : 5 = 49 : ?
  16. 16.Divide ₹360 between Rahul and Arjun in the ratio 5 : 7. How much does Arjun get (in ₹)?
  17. 17.Divide ₹374 between Nisha and Ananya in the ratio 9 : 2. How much does Nisha get (in ₹)?
  18. 18.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  19. 19.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  20. 20.Divide ₹630 between Ananya and Tara in the ratio 5 : 9. How much does Ananya get (in ₹)?
  21. 21.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  22. 22.Divide ₹56 between Saanvi and Farhan in the ratio 1 : 6. How much does Saanvi get (in ₹)?
  23. 23.3 : 12 = 15 : ?
  24. 24.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  25. 25.6 : 9 = 18 : ?
  26. 26.The ratio of boys to girls in a class is 7 : 5. There are 56 boys. How many girls are there?
  27. 27.7 : 13 = 63 : ?
  28. 28.12 : 4 = 84 : ?
  29. 29.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  30. 30.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  31. 31.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  32. 32.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  34. 34.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  35. 35.Divide ₹520 between Sneha and Ananya in the ratio 1 : 9. How much does Sneha get (in ₹)?
  36. 36.12 : 4 = 36 : ?
  37. 37.Divide ₹65 between Ishaan and Meera in the ratio 4 : 1. How much does Ishaan get (in ₹)?
  38. 38.7 : 9 = 56 : ?
  39. 39.Divide ₹371 between Arjun and Diya in the ratio 2 : 5. How much does Arjun get (in ₹)?
  40. 40.Divide ₹192 between Vivaan and Aditya in the ratio 7 : 1. How much does Aditya get (in ₹)?

Answer key

  1. 25
  2. 6
  3. 50
  4. 96
  5. 20
  6. 18
  7. 44
  8. 50
  9. 30
  10. 84
  11. 36
  12. 6
  13. 80
  14. 120
  15. 35
  16. 210
  17. 306
  18. 100
  19. 10
  20. 225
  21. 81
  22. 8
  23. 60
  24. 12
  25. 27
  26. 40
  27. 117
  28. 28
  29. 28
  30. 112
  31. 150
  32. 35
  33. 90
  34. 72
  35. 52
  36. 12
  37. 52
  38. 72
  39. 106
  40. 24

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