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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 589 · 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. 1.10 : 15 = 20 : ?
  2. 2.8 : 3 = 64 : ?
  3. 3.11 : 3 = 88 : ?
  4. 4.Divide ₹540 between Saanvi and Zoya in the ratio 8 : 1. How much does Saanvi get (in ₹)?
  5. 5.11 : 14 = 55 : ?
  6. 6.Divide ₹220 between Rohan and Nisha in the ratio 3 : 1. How much does Rohan get (in ₹)?
  7. 7.2 : 4 = 6 : ?
  8. 8.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  9. 9.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  10. 10.Divide ₹228 between Diya and Priya in the ratio 3 : 1. How much does Priya get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  12. 12.12 : 2 = 60 : ?
  13. 13.Divide ₹325 between Aarav and Aditya in the ratio 6 : 7. How much does Aarav get (in ₹)?
  14. 14.Divide ₹49 between Farhan and Kabir in the ratio 1 : 6. How much does Kabir get (in ₹)?
  15. 15.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  16. 16.Divide ₹65 between Rahul and Meera in the ratio 7 : 6. How much does Meera get (in ₹)?
  17. 17.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  18. 18.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  19. 19.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  20. 20.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  21. 21.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  22. 22.Divide ₹90 between Meera and Rohan in the ratio 9 : 1. How much does Meera get (in ₹)?
  23. 23.8 : 5 = 72 : ?
  24. 24.Divide ₹416 between Kavya and Arjun in the ratio 6 : 7. How much does Kavya get (in ₹)?
  25. 25.Divide ₹228 between Rohan and Kabir in the ratio 5 : 7. How much does Rohan get (in ₹)?
  26. 26.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  27. 27.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  28. 28.Divide ₹371 between Ananya and Ishaan in the ratio 4 : 3. How much does Ishaan get (in ₹)?
  29. 29.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  30. 30.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  31. 31.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  32. 32.9 : 13 = 27 : ?
  33. 33.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  34. 34.Divide ₹275 between Aditya and Priya in the ratio 1 : 4. How much does Aditya get (in ₹)?
  35. 35.Divide ₹312 between Rohan and Pooja in the ratio 4 : 9. How much does Rohan get (in ₹)?
  36. 36.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  37. 37.Divide ₹54 between Arjun and Kabir in the ratio 8 : 1. How much does Kabir get (in ₹)?
  38. 38.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  39. 39.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  40. 40.6 : 9 = 24 : ?

Answer key

  1. 30
  2. 24
  3. 24
  4. 480
  5. 70
  6. 165
  7. 12
  8. 18
  9. 100
  10. 57
  11. 90
  12. 10
  13. 150
  14. 42
  15. 80
  16. 30
  17. 27
  18. 200
  19. 20
  20. 42
  21. 32
  22. 81
  23. 45
  24. 192
  25. 95
  26. 45
  27. 16
  28. 159
  29. 36
  30. 75
  31. 28
  32. 39
  33. 60
  34. 55
  35. 96
  36. 8
  37. 6
  38. 144
  39. 24
  40. 36

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