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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 288 · 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 ₹99 between Rohan and Kavya in the ratio 1 : 8. How much does Rohan get (in ₹)?
  2. 2.8 : 9 = 24 : ?
  3. 3.Divide ₹280 between Kabir and Manav in the ratio 2 : 3. How much does Kabir get (in ₹)?
  4. 4.Divide ₹170 between Arjun and Nisha in the ratio 8 : 9. How much does Arjun get (in ₹)?
  5. 5.Divide ₹297 between Meera and Zoya in the ratio 8 : 1. How much does Meera get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 8 : 9. There are 72 boys. How many girls are there?
  7. 7.Divide ₹205 between Ananya and Rohan in the ratio 2 : 3. How much does Rohan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 2 : 9. There are 16 boys. How many girls are there?
  9. 9.2 : 10 = 6 : ?
  10. 10.4 : 12 = 36 : ?
  11. 11.Divide ₹152 between Rohan and Ananya in the ratio 7 : 1. How much does Rohan get (in ₹)?
  12. 12.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  13. 13.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  14. 14.The ratio of boys to girls in a class is 3 : 7. There are 24 boys. How many girls are there?
  15. 15.Divide ₹493 between Isha and Ishaan in the ratio 9 : 8. How much does Isha get (in ₹)?
  16. 16.Divide ₹123 between Farhan and Isha in the ratio 1 : 2. How much does Farhan get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  19. 19.8 : 2 = 72 : ?
  20. 20.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  21. 21.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  22. 22.Divide ₹54 between Vivaan and Tara in the ratio 8 : 1. How much does Tara get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  24. 24.2 : 5 = 6 : ?
  25. 25.9 : 10 = 45 : ?
  26. 26.Divide ₹184 between Arjun and Pooja in the ratio 3 : 1. How much does Pooja get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  28. 28.Divide ₹414 between Zoya and Diya in the ratio 8 : 1. How much does Zoya get (in ₹)?
  29. 29.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  30. 30.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  31. 31.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  32. 32.Divide ₹225 between Nisha and Karan in the ratio 4 : 5. How much does Nisha get (in ₹)?
  33. 33.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  34. 34.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  35. 35.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  36. 36.6 : 4 = 54 : ?
  37. 37.2 : 15 = 6 : ?
  38. 38.2 : 13 = 8 : ?
  39. 39.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?

Answer key

  1. 11
  2. 27
  3. 112
  4. 80
  5. 264
  6. 81
  7. 123
  8. 72
  9. 30
  10. 108
  11. 133
  12. 72
  13. 24
  14. 56
  15. 261
  16. 41
  17. 18
  18. 2
  19. 18
  20. 75
  21. 15
  22. 6
  23. 3
  24. 15
  25. 50
  26. 46
  27. 28
  28. 368
  29. 225
  30. 24
  31. 20
  32. 100
  33. 28
  34. 80
  35. 32
  36. 36
  37. 45
  38. 52
  39. 16
  40. 54

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