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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 106 · 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.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  2. 2.Divide ₹154 between Saanvi and Ananya in the ratio 9 : 5. How much does Ananya get (in ₹)?
  3. 3.9 : 6 = 72 : ?
  4. 4.Divide ₹390 between Nisha and Manav in the ratio 8 : 5. How much does Nisha get (in ₹)?
  5. 5.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  6. 6.The ratio of boys to girls in a class is 8 : 7. There are 80 boys. How many girls are there?
  7. 7.Divide ₹240 between Saanvi and Aarav in the ratio 2 : 3. How much does Aarav get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  9. 9.4 : 7 = 12 : ?
  10. 10.7 : 3 = 14 : ?
  11. 11.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  12. 12.Divide ₹539 between Arjun and Aditya in the ratio 9 : 2. How much does Arjun get (in ₹)?
  13. 13.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  14. 14.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  15. 15.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  16. 16.Divide ₹120 between Diya and Priya in the ratio 3 : 5. How much does Diya get (in ₹)?
  17. 17.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  18. 18.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  19. 19.8 : 9 = 72 : ?
  20. 20.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  21. 21.2 : 6 = 8 : ?
  22. 22.Divide ₹731 between Sneha and Farhan in the ratio 9 : 8. How much does Farhan get (in ₹)?
  23. 23.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  24. 24.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  26. 26.Divide ₹260 between Ananya and Kabir in the ratio 3 : 7. How much does Ananya get (in ₹)?
  27. 27.8 : 2 = 64 : ?
  28. 28.Divide ₹350 between Isha and Ananya in the ratio 9 : 1. How much does Ananya get (in ₹)?
  29. 29.8 : 2 = 72 : ?
  30. 30.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  31. 31.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  32. 32.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  33. 33.9 : 4 = 63 : ?
  34. 34.Divide ₹286 between Farhan and Rohan in the ratio 2 : 9. How much does Farhan get (in ₹)?
  35. 35.Divide ₹357 between Farhan and Aarav in the ratio 2 : 5. How much does Farhan get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  37. 37.Divide ₹105 between Tara and Ananya in the ratio 4 : 1. How much does Tara get (in ₹)?
  38. 38.3 : 14 = 18 : ?
  39. 39.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  40. 40.Divide ₹450 between Kabir and Rohan in the ratio 5 : 4. How much does Kabir get (in ₹)?

Answer key

  1. 7
  2. 55
  3. 48
  4. 240
  5. 27
  6. 70
  7. 144
  8. 81
  9. 21
  10. 6
  11. 35
  12. 441
  13. 48
  14. 200
  15. 18
  16. 45
  17. 8
  18. 36
  19. 81
  20. 8
  21. 24
  22. 344
  23. 32
  24. 90
  25. 21
  26. 78
  27. 16
  28. 35
  29. 18
  30. 18
  31. 32
  32. 12
  33. 28
  34. 52
  35. 102
  36. 90
  37. 84
  38. 84
  39. 16
  40. 250

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