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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 27 · 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.Divide ₹189 between Aditya and Ananya in the ratio 2 : 7. How much does Ananya get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
  3. 3.9 : 2 = 72 : ?
  4. 4.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  5. 5.10 : 3 = 40 : ?
  6. 6.9 : 5 = 18 : ?
  7. 7.4 : 11 = 28 : ?
  8. 8.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  9. 9.12 : 14 = 24 : ?
  10. 10.Divide ₹767 between Rahul and Kavya in the ratio 4 : 9. How much does Kavya get (in ₹)?
  11. 11.2 : 3 = 16 : ?
  12. 12.Divide ₹150 between Aditya and Kavya in the ratio 4 : 1. How much does Aditya get (in ₹)?
  13. 13.5 : 14 = 20 : ?
  14. 14.Divide ₹231 between Zoya and Tara in the ratio 4 : 3. How much does Zoya get (in ₹)?
  15. 15.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  16. 16.Divide ₹24 between Saanvi and Arjun in the ratio 3 : 1. How much does Arjun get (in ₹)?
  17. 17.11 : 2 = 22 : ?
  18. 18.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  19. 19.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  20. 20.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  21. 21.11 : 4 = 44 : ?
  22. 22.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  23. 23.6 : 13 = 30 : ?
  24. 24.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
  25. 25.Divide ₹540 between Arjun and Ananya in the ratio 8 : 1. How much does Arjun get (in ₹)?
  26. 26.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  27. 27.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  28. 28.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  29. 29.Divide ₹600 between Rohan and Ishaan in the ratio 3 : 7. How much does Rohan get (in ₹)?
  30. 30.Divide ₹225 between Meera and Aditya in the ratio 2 : 7. How much does Aditya get (in ₹)?
  31. 31.Divide ₹210 between Manav and Kavya in the ratio 4 : 3. How much does Kavya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
  34. 34.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  35. 35.Divide ₹112 between Manav and Saanvi in the ratio 5 : 9. How much does Manav get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?
  37. 37.10 : 15 = 20 : ?
  38. 38.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  39. 39.6 : 4 = 54 : ?
  40. 40.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).

Answer key

  1. 147
  2. 36
  3. 16
  4. 200
  5. 12
  6. 10
  7. 77
  8. 24
  9. 28
  10. 531
  11. 24
  12. 120
  13. 56
  14. 132
  15. 36
  16. 6
  17. 4
  18. 63
  19. 9
  20. 150
  21. 16
  22. 8
  23. 65
  24. 10
  25. 480
  26. 175
  27. 50
  28. 6
  29. 180
  30. 175
  31. 90
  32. 40
  33. 63
  34. 112
  35. 40
  36. 80
  37. 30
  38. 72
  39. 36
  40. 81

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