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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 767 · 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 ₹513 between Manav and Ishaan in the ratio 1 : 8. How much does Manav get (in ₹)?
  2. 2.Divide ₹583 between Ananya and Tara in the ratio 6 : 5. How much does Tara get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  5. 5.Divide ₹616 between Dev and Aarav in the ratio 5 : 6. How much does Aarav get (in ₹)?
  6. 6.6 : 4 = 42 : ?
  7. 7.6 : 10 = 54 : ?
  8. 8.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  9. 9.Divide ₹481 between Sneha and Pooja in the ratio 8 : 5. How much does Sneha get (in ₹)?
  10. 10.11 : 7 = 55 : ?
  11. 11.Divide ₹493 between Arjun and Isha in the ratio 9 : 8. How much does Isha get (in ₹)?
  12. 12.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  13. 13.6 : 4 = 24 : ?
  14. 14.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  15. 15.5 : 7 = 30 : ?
  16. 16.7 : 13 = 56 : ?
  17. 17.5 : 10 = 35 : ?
  18. 18.10 : 4 = 60 : ?
  19. 19.2 : 5 = 8 : ?
  20. 20.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  21. 21.11 : 5 = 88 : ?
  22. 22.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  23. 23.5 : 3 = 45 : ?
  24. 24.9 : 3 = 81 : ?
  25. 25.5 : 2 = 15 : ?
  26. 26.Divide ₹242 between Kavya and Karan in the ratio 8 : 3. How much does Kavya get (in ₹)?
  27. 27.Divide ₹297 between Zoya and Ananya in the ratio 4 : 5. How much does Ananya get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  29. 29.12 : 8 = 96 : ?
  30. 30.6 : 7 = 24 : ?
  31. 31.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  32. 32.3 : 4 = 12 : ?
  33. 33.Divide ₹121 between Rohan and Farhan in the ratio 6 : 5. How much does Rohan get (in ₹)?
  34. 34.Divide ₹585 between Arjun and Karan in the ratio 8 : 5. How much does Arjun get (in ₹)?
  35. 35.11 : 12 = 22 : ?
  36. 36.3 : 6 = 18 : ?
  37. 37.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  38. 38.3 : 4 = 9 : ?
  39. 39.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
  40. 40.3 : 9 = 6 : ?

Answer key

  1. 57
  2. 265
  3. 12
  4. 21
  5. 336
  6. 28
  7. 90
  8. 54
  9. 296
  10. 35
  11. 232
  12. 150
  13. 16
  14. 50
  15. 42
  16. 104
  17. 70
  18. 24
  19. 20
  20. 175
  21. 40
  22. 8
  23. 27
  24. 27
  25. 6
  26. 176
  27. 165
  28. 50
  29. 64
  30. 28
  31. 36
  32. 16
  33. 66
  34. 360
  35. 24
  36. 36
  37. 125
  38. 12
  39. 24
  40. 18

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