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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 416 · 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).

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  1. 1.6 : 10 = 12 : ?
  2. 2.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  3. 3.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  4. 4.The ratio of boys to girls in a class is 5 : 4. There are 20 boys. How many girls are there?
  5. 5.Divide ₹784 between Priya and Vivaan in the ratio 5 : 9. How much does Vivaan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  8. 8.12 : 2 = 96 : ?
  9. 9.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  10. 10.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  11. 11.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  12. 12.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  13. 13.Divide ₹180 between Kavya and Manav in the ratio 9 : 1. How much does Manav get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  15. 15.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  16. 16.Divide ₹54 between Arjun and Ishaan in the ratio 8 : 1. How much does Arjun get (in ₹)?
  17. 17.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  18. 18.Divide ₹490 between Rohan and Diya in the ratio 7 : 3. How much does Diya get (in ₹)?
  19. 19.Divide ₹280 between Saanvi and Ananya in the ratio 7 : 1. How much does Ananya get (in ₹)?
  20. 20.4 : 9 = 12 : ?
  21. 21.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  22. 22.9 : 10 = 72 : ?
  23. 23.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  24. 24.10 : 8 = 20 : ?
  25. 25.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  26. 26.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  27. 27.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  28. 28.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  29. 29.Divide ₹702 between Rohan and Dev in the ratio 4 : 9. How much does Rohan get (in ₹)?
  30. 30.Divide ₹182 between Karan and Nisha in the ratio 5 : 9. How much does Karan get (in ₹)?
  31. 31.Divide ₹51 between Rahul and Karan in the ratio 1 : 2. How much does Rahul get (in ₹)?
  32. 32.Divide ₹330 between Zoya and Ishaan in the ratio 4 : 7. How much does Zoya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  34. 34.9 : 11 = 27 : ?
  35. 35.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  36. 36.Divide ₹264 between Zoya and Ananya in the ratio 3 : 5. How much does Ananya get (in ₹)?
  37. 37.Divide ₹392 between Farhan and Manav in the ratio 5 : 2. How much does Manav get (in ₹)?
  38. 38.11 : 14 = 22 : ?
  39. 39.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  40. 40.Divide ₹238 between Kabir and Karan in the ratio 1 : 6. How much does Kabir get (in ₹)?

Answer key

  1. 20
  2. 45
  3. 24
  4. 16
  5. 504
  6. 20
  7. 18
  8. 16
  9. 6
  10. 72
  11. 50
  12. 20
  13. 18
  14. 27
  15. 16
  16. 48
  17. 45
  18. 147
  19. 35
  20. 27
  21. 63
  22. 80
  23. 21
  24. 16
  25. 30
  26. 20
  27. 3
  28. 100
  29. 216
  30. 65
  31. 17
  32. 120
  33. 21
  34. 33
  35. 18
  36. 165
  37. 112
  38. 28
  39. 36
  40. 34

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