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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 967 · 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 ₹423 between Zoya and Kabir in the ratio 5 : 4. How much does Kabir get (in ₹)?
  2. 2.Divide ₹192 between Manav and Meera in the ratio 1 : 3. How much does Manav get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 5 : 9. There are 25 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  5. 5.10 : 13 = 70 : ?
  6. 6.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  7. 7.12 : 6 = 72 : ?
  8. 8.Divide ₹65 between Pooja and Farhan in the ratio 9 : 4. How much does Pooja get (in ₹)?
  9. 9.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  10. 10.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  11. 11.Divide ₹341 between Rahul and Tara in the ratio 7 : 4. How much does Rahul get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  13. 13.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  14. 14.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  15. 15.Divide ₹429 between Ananya and Sneha in the ratio 5 : 8. How much does Ananya get (in ₹)?
  16. 16.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  17. 17.2 : 3 = 4 : ?
  18. 18.Divide ₹196 between Aditya and Diya in the ratio 9 : 5. How much does Diya get (in ₹)?
  19. 19.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  20. 20.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  21. 21.4 : 12 = 36 : ?
  22. 22.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  23. 23.4 : 8 = 36 : ?
  24. 24.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  25. 25.8 : 13 = 64 : ?
  26. 26.4 : 10 = 28 : ?
  27. 27.Divide ₹195 between Rahul and Aarav in the ratio 7 : 8. How much does Rahul get (in ₹)?
  28. 28.12 : 3 = 84 : ?
  29. 29.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  30. 30.2 : 10 = 14 : ?
  31. 31.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  32. 32.Divide ₹264 between Rahul and Zoya in the ratio 1 : 7. How much does Zoya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  35. 35.Divide ₹410 between Vivaan and Aarav in the ratio 7 : 3. How much does Aarav get (in ₹)?
  36. 36.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  37. 37.10 : 13 = 80 : ?
  38. 38.Divide ₹40 between Ananya and Farhan in the ratio 1 : 3. How much does Ananya get (in ₹)?
  39. 39.Divide ₹256 between Meera and Manav in the ratio 7 : 9. How much does Manav get (in ₹)?
  40. 40.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).

Answer key

  1. 188
  2. 48
  3. 45
  4. 9
  5. 91
  6. 32
  7. 36
  8. 45
  9. 16
  10. 27
  11. 217
  12. 28
  13. 32
  14. 48
  15. 165
  16. 12
  17. 6
  18. 70
  19. 8
  20. 125
  21. 108
  22. 20
  23. 72
  24. 48
  25. 104
  26. 70
  27. 91
  28. 21
  29. 27
  30. 70
  31. 32
  32. 231
  33. 24
  34. 27
  35. 123
  36. 36
  37. 104
  38. 10
  39. 144
  40. 150

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