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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 855 · 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. 1.11 : 6 = 55 : ?
  2. 2.Divide ₹294 between Vivaan and Tara in the ratio 2 : 5. How much does Tara get (in ₹)?
  3. 3.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  4. 4.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  5. 5.Divide ₹286 between Aditya and Manav in the ratio 6 : 5. How much does Aditya get (in ₹)?
  6. 6.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  7. 7.3 : 12 = 24 : ?
  8. 8.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  9. 9.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  12. 12.9 : 8 = 27 : ?
  13. 13.Divide ₹252 between Karan and Isha in the ratio 5 : 1. How much does Karan get (in ₹)?
  14. 14.12 : 6 = 72 : ?
  15. 15.3 : 4 = 27 : ?
  16. 16.10 : 8 = 70 : ?
  17. 17.The ratio of boys to girls in a class is 6 : 7. There are 48 boys. How many girls are there?
  18. 18.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  19. 19.The ratio of boys to girls in a class is 8 : 7. There are 80 boys. How many girls are there?
  20. 20.8 : 6 = 72 : ?
  21. 21.Divide ₹115 between Pooja and Sneha in the ratio 1 : 4. How much does Sneha get (in ₹)?
  22. 22.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  23. 23.5 : 7 = 45 : ?
  24. 24.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  25. 25.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  26. 26.7 : 9 = 49 : ?
  27. 27.Divide ₹99 between Ishaan and Kavya in the ratio 5 : 6. How much does Ishaan get (in ₹)?
  28. 28.10 : 13 = 90 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  30. 30.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  31. 31.Divide ₹40 between Aarav and Rahul in the ratio 3 : 1. How much does Aarav get (in ₹)?
  32. 32.Divide ₹329 between Arjun and Aarav in the ratio 6 : 1. How much does Arjun get (in ₹)?
  33. 33.Divide ₹117 between Priya and Rahul in the ratio 4 : 9. How much does Rahul get (in ₹)?
  34. 34.4 : 9 = 32 : ?
  35. 35.Divide ₹486 between Zoya and Kabir in the ratio 1 : 8. How much does Kabir get (in ₹)?
  36. 36.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  37. 37.Divide ₹336 between Rahul and Ananya in the ratio 3 : 4. How much does Ananya get (in ₹)?
  38. 38.3 : 10 = 18 : ?
  39. 39.The ratio of boys to girls in a class is 3 : 8. There are 27 boys. How many girls are there?
  40. 40.Divide ₹403 between Rohan and Ananya in the ratio 5 : 8. How much does Rohan get (in ₹)?

Answer key

  1. 30
  2. 210
  3. 63
  4. 54
  5. 156
  6. 125
  7. 96
  8. 24
  9. 4
  10. 10
  11. 60
  12. 24
  13. 210
  14. 36
  15. 36
  16. 56
  17. 56
  18. 18
  19. 70
  20. 54
  21. 92
  22. 8
  23. 63
  24. 50
  25. 64
  26. 63
  27. 45
  28. 117
  29. 16
  30. 225
  31. 30
  32. 282
  33. 81
  34. 72
  35. 432
  36. 28
  37. 192
  38. 60
  39. 72
  40. 155

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