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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 381 · 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. 1.9 : 8 = 18 : ?
  2. 2.Divide ₹357 between Diya and Rohan in the ratio 6 : 1. How much does Rohan get (in ₹)?
  3. 3.7 : 12 = 35 : ?
  4. 4.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  5. 5.Divide ₹252 between Saanvi and Manav in the ratio 7 : 5. How much does Manav get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 7 : 5. There are 49 boys. How many girls are there?
  7. 7.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  8. 8.Divide ₹116 between Diya and Ananya in the ratio 3 : 1. How much does Diya get (in ₹)?
  9. 9.8 : 13 = 24 : ?
  10. 10.Divide ₹315 between Karan and Kavya in the ratio 8 : 7. How much does Kavya get (in ₹)?
  11. 11.Divide ₹210 between Priya and Vivaan in the ratio 3 : 7. How much does Priya get (in ₹)?
  12. 12.4 : 10 = 28 : ?
  13. 13.Divide ₹644 between Karan and Manav in the ratio 5 : 9. How much does Karan get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  16. 16.2 : 5 = 6 : ?
  17. 17.Divide ₹649 between Pooja and Rohan in the ratio 4 : 7. How much does Pooja get (in ₹)?
  18. 18.Divide ₹325 between Ishaan and Rahul in the ratio 6 : 7. How much does Ishaan get (in ₹)?
  19. 19.Divide ₹825 between Zoya and Nisha in the ratio 8 : 7. How much does Zoya get (in ₹)?
  20. 20.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  21. 21.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  22. 22.Divide ₹84 between Ishaan and Meera in the ratio 5 : 1. How much does Meera get (in ₹)?
  23. 23.Divide ₹245 between Diya and Rahul in the ratio 2 : 5. How much does Rahul get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  26. 26.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  27. 27.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  29. 29.12 : 4 = 24 : ?
  30. 30.2 : 5 = 16 : ?
  31. 31.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  32. 32.Divide ₹816 between Pooja and Zoya in the ratio 9 : 7. How much does Zoya get (in ₹)?
  33. 33.Divide ₹645 between Kabir and Rohan in the ratio 8 : 7. How much does Rohan get (in ₹)?
  34. 34.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  35. 35.Divide ₹280 between Karan and Priya in the ratio 3 : 7. How much does Priya get (in ₹)?
  36. 36.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  37. 37.Divide ₹198 between Diya and Rahul in the ratio 3 : 8. How much does Diya get (in ₹)?
  38. 38.7 : 8 = 63 : ?
  39. 39.Divide ₹480 between Manav and Priya in the ratio 1 : 9. How much does Manav get (in ₹)?
  40. 40.4 : 15 = 20 : ?

Answer key

  1. 16
  2. 51
  3. 60
  4. 72
  5. 105
  6. 35
  7. 32
  8. 87
  9. 39
  10. 147
  11. 63
  12. 70
  13. 230
  14. 12
  15. 21
  16. 15
  17. 236
  18. 150
  19. 440
  20. 54
  21. 225
  22. 14
  23. 175
  24. 27
  25. 56
  26. 112
  27. 45
  28. 12
  29. 8
  30. 40
  31. 8
  32. 357
  33. 301
  34. 18
  35. 196
  36. 20
  37. 54
  38. 72
  39. 48
  40. 75

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