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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 364 · 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 5 and 15 (that is, 5 : 15 = 15 : ?).
  2. 2.Divide ₹286 between Kavya and Vivaan in the ratio 8 : 3. How much does Vivaan get (in ₹)?
  3. 3.Divide ₹240 between Aarav and Ishaan in the ratio 1 : 7. How much does Aarav get (in ₹)?
  4. 4.3 : 9 = 12 : ?
  5. 5.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  6. 6.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  7. 7.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  10. 10.Divide ₹572 between Aditya and Farhan in the ratio 6 : 7. How much does Farhan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
  12. 12.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  13. 13.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
  14. 14.Divide ₹154 between Arjun and Tara in the ratio 4 : 7. How much does Tara get (in ₹)?
  15. 15.Divide ₹30 between Aarav and Rohan in the ratio 4 : 1. How much does Rohan get (in ₹)?
  16. 16.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  17. 17.11 : 8 = 66 : ?
  18. 18.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  19. 19.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  20. 20.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  21. 21.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  22. 22.Divide ₹444 between Isha and Ananya in the ratio 5 : 7. How much does Ananya get (in ₹)?
  23. 23.Divide ₹500 between Pooja and Priya in the ratio 3 : 7. How much does Priya get (in ₹)?
  24. 24.11 : 13 = 44 : ?
  25. 25.Divide ₹520 between Priya and Vivaan in the ratio 7 : 6. How much does Priya get (in ₹)?
  26. 26.11 : 3 = 99 : ?
  27. 27.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  28. 28.Divide ₹90 between Diya and Aarav in the ratio 3 : 7. How much does Diya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  31. 31.8 : 14 = 72 : ?
  32. 32.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  33. 33.Divide ₹145 between Manav and Ishaan in the ratio 3 : 2. How much does Manav get (in ₹)?
  34. 34.Divide ₹369 between Kavya and Priya in the ratio 8 : 1. How much does Kavya get (in ₹)?
  35. 35.Divide ₹144 between Pooja and Isha in the ratio 7 : 2. How much does Pooja get (in ₹)?
  36. 36.Divide ₹350 between Meera and Pooja in the ratio 9 : 1. How much does Meera get (in ₹)?
  37. 37.Divide ₹328 between Meera and Farhan in the ratio 1 : 7. How much does Farhan get (in ₹)?
  38. 38.11 : 6 = 44 : ?
  39. 39.9 : 2 = 18 : ?
  40. 40.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).

Answer key

  1. 45
  2. 78
  3. 30
  4. 36
  5. 35
  6. 36
  7. 32
  8. 12
  9. 56
  10. 308
  11. 36
  12. 200
  13. 40
  14. 98
  15. 6
  16. 75
  17. 48
  18. 100
  19. 27
  20. 150
  21. 54
  22. 259
  23. 350
  24. 52
  25. 280
  26. 27
  27. 8
  28. 27
  29. 21
  30. 27
  31. 126
  32. 12
  33. 87
  34. 328
  35. 112
  36. 315
  37. 287
  38. 24
  39. 4
  40. 16

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