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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 28 · 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 ₹120 between Meera and Rohan in the ratio 3 : 1. How much does Meera get (in ₹)?
  2. 2.Divide ₹90 between Zoya and Karan in the ratio 3 : 7. How much does Karan get (in ₹)?
  3. 3.Divide ₹65 between Vivaan and Diya in the ratio 7 : 6. How much does Vivaan get (in ₹)?
  4. 4.Divide ₹260 between Zoya and Sneha in the ratio 3 : 2. How much does Sneha get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  9. 9.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  10. 10.Divide ₹434 between Vivaan and Zoya in the ratio 5 : 9. How much does Zoya get (in ₹)?
  11. 11.Divide ₹55 between Aditya and Tara in the ratio 3 : 8. How much does Aditya get (in ₹)?
  12. 12.Divide ₹720 between Meera and Ananya in the ratio 7 : 9. How much does Ananya get (in ₹)?
  13. 13.Divide ₹240 between Karan and Tara in the ratio 7 : 8. How much does Karan get (in ₹)?
  14. 14.Divide ₹135 between Nisha and Karan in the ratio 4 : 5. How much does Nisha get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  16. 16.10 : 8 = 50 : ?
  17. 17.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  18. 18.Divide ₹108 between Arjun and Ishaan in the ratio 1 : 5. How much does Arjun get (in ₹)?
  19. 19.6 : 15 = 36 : ?
  20. 20.Divide ₹715 between Ananya and Zoya in the ratio 9 : 4. How much does Zoya get (in ₹)?
  21. 21.Divide ₹225 between Rahul and Ananya in the ratio 2 : 3. How much does Ananya get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  23. 23.Divide ₹279 between Diya and Arjun in the ratio 8 : 1. How much does Arjun get (in ₹)?
  24. 24.Divide ₹714 between Vivaan and Rohan in the ratio 8 : 9. How much does Vivaan get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  26. 26.2 : 3 = 8 : ?
  27. 27.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  28. 28.10 : 11 = 90 : ?
  29. 29.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  30. 30.2 : 14 = 6 : ?
  31. 31.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  32. 32.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  33. 33.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  34. 34.10 : 12 = 40 : ?
  35. 35.Divide ₹143 between Diya and Kavya in the ratio 7 : 6. How much does Kavya get (in ₹)?
  36. 36.Divide ₹704 between Nisha and Arjun in the ratio 7 : 9. How much does Nisha get (in ₹)?
  37. 37.3 : 14 = 9 : ?
  38. 38.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  39. 39.8 : 3 = 16 : ?
  40. 40.6 : 12 = 42 : ?

Answer key

  1. 90
  2. 63
  3. 35
  4. 104
  5. 6
  6. 18
  7. 8
  8. 24
  9. 36
  10. 279
  11. 15
  12. 405
  13. 112
  14. 60
  15. 12
  16. 40
  17. 150
  18. 18
  19. 90
  20. 220
  21. 135
  22. 3
  23. 31
  24. 336
  25. 25
  26. 12
  27. 4
  28. 99
  29. 50
  30. 42
  31. 225
  32. 28
  33. 128
  34. 48
  35. 66
  36. 308
  37. 42
  38. 28
  39. 6
  40. 84

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