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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 621 · 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 7 : 6. There are 63 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
  3. 3.Divide ₹132 between Meera and Kavya in the ratio 6 : 5. How much does Meera get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
  5. 5.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  6. 6.Divide ₹270 between Dev and Kavya in the ratio 3 : 7. How much does Kavya get (in ₹)?
  7. 7.Divide ₹132 between Vivaan and Kavya in the ratio 1 : 3. How much does Vivaan get (in ₹)?
  8. 8.2 : 4 = 4 : ?
  9. 9.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  10. 10.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  11. 11.4 : 13 = 16 : ?
  12. 12.Divide ₹360 between Tara and Ananya in the ratio 5 : 1. How much does Ananya get (in ₹)?
  13. 13.5 : 14 = 25 : ?
  14. 14.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  15. 15.10 : 11 = 70 : ?
  16. 16.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  17. 17.9 : 10 = 54 : ?
  18. 18.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  19. 19.4 : 3 = 36 : ?
  20. 20.11 : 12 = 88 : ?
  21. 21.11 : 3 = 99 : ?
  22. 22.Divide ₹108 between Rohan and Ishaan in the ratio 1 : 3. How much does Rohan get (in ₹)?
  23. 23.6 : 8 = 12 : ?
  24. 24.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  25. 25.Divide ₹413 between Diya and Arjun in the ratio 4 : 3. How much does Diya get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  28. 28.Divide ₹500 between Priya and Karan in the ratio 1 : 9. How much does Karan get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  31. 31.Divide ₹143 between Saanvi and Aditya in the ratio 6 : 5. How much does Aditya get (in ₹)?
  32. 32.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  33. 33.Divide ₹25 between Karan and Kavya in the ratio 4 : 1. How much does Karan get (in ₹)?
  34. 34.Divide ₹119 between Meera and Manav in the ratio 1 : 6. How much does Meera get (in ₹)?
  35. 35.Divide ₹114 between Karan and Manav in the ratio 1 : 5. How much does Manav get (in ₹)?
  36. 36.9 : 2 = 36 : ?
  37. 37.Divide ₹741 between Saanvi and Zoya in the ratio 7 : 6. How much does Saanvi get (in ₹)?
  38. 38.2 : 10 = 18 : ?
  39. 39.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  40. 40.12 : 5 = 72 : ?

Answer key

  1. 54
  2. 2
  3. 72
  4. 72
  5. 20
  6. 189
  7. 33
  8. 8
  9. 45
  10. 96
  11. 52
  12. 60
  13. 70
  14. 25
  15. 77
  16. 81
  17. 60
  18. 16
  19. 27
  20. 96
  21. 27
  22. 27
  23. 16
  24. 36
  25. 236
  26. 7
  27. 2
  28. 450
  29. 40
  30. 6
  31. 65
  32. 200
  33. 20
  34. 17
  35. 95
  36. 8
  37. 399
  38. 90
  39. 8
  40. 30

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