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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 41 · 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).

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  1. 1.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  2. 2.Divide ₹66 between Ananya and Farhan in the ratio 5 : 6. How much does Farhan get (in ₹)?
  3. 3.Divide ₹507 between Rohan and Farhan in the ratio 4 : 9. How much does Rohan get (in ₹)?
  4. 4.10 : 9 = 70 : ?
  5. 5.Divide ₹459 between Diya and Saanvi in the ratio 1 : 8. How much does Diya get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  7. 7.Divide ₹147 between Kavya and Ishaan in the ratio 2 : 1. How much does Kavya get (in ₹)?
  8. 8.Divide ₹484 between Karan and Farhan in the ratio 7 : 4. How much does Karan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  10. 10.4 : 9 = 24 : ?
  11. 11.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  12. 12.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  13. 13.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  14. 14.12 : 2 = 96 : ?
  15. 15.Divide ₹143 between Priya and Karan in the ratio 6 : 7. How much does Priya get (in ₹)?
  16. 16.Divide ₹400 between Saanvi and Zoya in the ratio 9 : 7. How much does Saanvi get (in ₹)?
  17. 17.Divide ₹462 between Rohan and Diya in the ratio 7 : 4. How much does Diya get (in ₹)?
  18. 18.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  19. 19.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  20. 20.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  22. 22.3 : 2 = 6 : ?
  23. 23.6 : 12 = 12 : ?
  24. 24.Divide ₹378 between Nisha and Priya in the ratio 3 : 4. How much does Priya get (in ₹)?
  25. 25.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  26. 26.Divide ₹176 between Priya and Meera in the ratio 1 : 3. How much does Meera get (in ₹)?
  27. 27.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  28. 28.Divide ₹81 between Aarav and Karan in the ratio 1 : 8. How much does Aarav get (in ₹)?
  29. 29.9 : 7 = 45 : ?
  30. 30.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  31. 31.Divide ₹650 between Ananya and Saanvi in the ratio 8 : 5. How much does Saanvi get (in ₹)?
  32. 32.10 : 3 = 80 : ?
  33. 33.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  34. 34.7 : 12 = 21 : ?
  35. 35.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  36. 36.4 : 8 = 36 : ?
  37. 37.Divide ₹115 between Aditya and Arjun in the ratio 4 : 1. How much does Aditya get (in ₹)?
  38. 38.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  39. 39.The ratio of boys to girls in a class is 2 : 7. There are 20 boys. How many girls are there?
  40. 40.Divide ₹473 between Zoya and Aditya in the ratio 6 : 5. How much does Aditya get (in ₹)?

Answer key

  1. 81
  2. 36
  3. 156
  4. 63
  5. 51
  6. 32
  7. 98
  8. 308
  9. 54
  10. 54
  11. 45
  12. 144
  13. 150
  14. 16
  15. 66
  16. 225
  17. 168
  18. 175
  19. 48
  20. 4
  21. 3
  22. 4
  23. 24
  24. 216
  25. 200
  26. 132
  27. 64
  28. 9
  29. 35
  30. 3
  31. 250
  32. 24
  33. 21
  34. 36
  35. 28
  36. 72
  37. 92
  38. 28
  39. 70
  40. 215

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