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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 912 · 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. 1.3 : 6 = 12 : ?
  2. 2.3 : 12 = 24 : ?
  3. 3.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  4. 4.Divide ₹48 between Rahul and Nisha in the ratio 3 : 5. How much does Rahul get (in ₹)?
  5. 5.Divide ₹544 between Rohan and Kabir in the ratio 9 : 8. How much does Rohan get (in ₹)?
  6. 6.Divide ₹484 between Aditya and Priya in the ratio 6 : 5. How much does Priya get (in ₹)?
  7. 7.Divide ₹372 between Manav and Nisha in the ratio 5 : 7. How much does Nisha get (in ₹)?
  8. 8.4 : 6 = 20 : ?
  9. 9.Divide ₹232 between Ananya and Aarav in the ratio 7 : 1. How much does Ananya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  11. 11.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  12. 12.12 : 6 = 96 : ?
  13. 13.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  14. 14.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  15. 15.The ratio of boys to girls in a class is 7 : 2. There are 56 boys. How many girls are there?
  16. 16.Divide ₹80 between Kabir and Isha in the ratio 3 : 7. How much does Kabir get (in ₹)?
  17. 17.Divide ₹329 between Pooja and Saanvi in the ratio 3 : 4. How much does Saanvi get (in ₹)?
  18. 18.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  19. 19.3 : 2 = 6 : ?
  20. 20.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  21. 21.Divide ₹594 between Diya and Pooja in the ratio 8 : 3. How much does Pooja get (in ₹)?
  22. 22.7 : 9 = 42 : ?
  23. 23.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  24. 24.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  25. 25.5 : 14 = 40 : ?
  26. 26.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  27. 27.Divide ₹165 between Zoya and Farhan in the ratio 2 : 3. How much does Zoya get (in ₹)?
  28. 28.12 : 8 = 96 : ?
  29. 29.Divide ₹120 between Kabir and Dev in the ratio 2 : 1. How much does Dev get (in ₹)?
  30. 30.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  31. 31.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  33. 33.3 : 7 = 27 : ?
  34. 34.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  35. 35.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
  36. 36.Divide ₹406 between Isha and Dev in the ratio 5 : 2. How much does Dev get (in ₹)?
  37. 37.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  38. 38.8 : 2 = 16 : ?
  39. 39.Divide ₹533 between Arjun and Meera in the ratio 9 : 4. How much does Meera get (in ₹)?
  40. 40.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).

Answer key

  1. 24
  2. 96
  3. 8
  4. 18
  5. 288
  6. 220
  7. 217
  8. 30
  9. 203
  10. 12
  11. 96
  12. 48
  13. 54
  14. 32
  15. 16
  16. 24
  17. 188
  18. 24
  19. 4
  20. 18
  21. 162
  22. 54
  23. 175
  24. 24
  25. 112
  26. 100
  27. 66
  28. 64
  29. 40
  30. 48
  31. 18
  32. 16
  33. 63
  34. 12
  35. 36
  36. 116
  37. 32
  38. 4
  39. 164
  40. 150

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