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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 172 · 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.Divide ₹728 between Diya and Nisha in the ratio 7 : 6. How much does Diya get (in ₹)?
  2. 2.5 : 15 = 15 : ?
  3. 3.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  4. 4.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  5. 5.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  6. 6.2 : 4 = 16 : ?
  7. 7.The ratio of boys to girls in a class is 7 : 3. There are 63 boys. How many girls are there?
  8. 8.Divide ₹495 between Pooja and Saanvi in the ratio 4 : 7. How much does Saanvi get (in ₹)?
  9. 9.Divide ₹200 between Diya and Kavya in the ratio 2 : 3. How much does Diya get (in ₹)?
  10. 10.Divide ₹252 between Pooja and Farhan in the ratio 6 : 1. How much does Farhan get (in ₹)?
  11. 11.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  12. 12.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  13. 13.3 : 5 = 18 : ?
  14. 14.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  15. 15.Divide ₹430 between Diya and Isha in the ratio 7 : 3. How much does Diya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 5 : 7. There are 45 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  19. 19.Divide ₹816 between Dev and Nisha in the ratio 7 : 9. How much does Dev get (in ₹)?
  20. 20.3 : 8 = 15 : ?
  21. 21.Divide ₹210 between Meera and Rohan in the ratio 1 : 4. How much does Meera get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  26. 26.Divide ₹462 between Priya and Ananya in the ratio 5 : 9. How much does Ananya get (in ₹)?
  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.Divide ₹605 between Kabir and Tara in the ratio 6 : 5. How much does Tara get (in ₹)?
  29. 29.Divide ₹564 between Aarav and Kabir in the ratio 7 : 5. How much does Aarav get (in ₹)?
  30. 30.Divide ₹124 between Aditya and Pooja in the ratio 3 : 1. How much does Aditya get (in ₹)?
  31. 31.Divide ₹306 between Karan and Diya in the ratio 1 : 5. How much does Karan get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 5 : 4. There are 50 boys. How many girls are there?
  33. 33.10 : 7 = 30 : ?
  34. 34.12 : 13 = 84 : ?
  35. 35.7 : 11 = 49 : ?
  36. 36.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  37. 37.5 : 12 = 15 : ?
  38. 38.9 : 2 = 72 : ?
  39. 39.2 : 5 = 12 : ?
  40. 40.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?

Answer key

  1. 392
  2. 45
  3. 72
  4. 80
  5. 8
  6. 32
  7. 27
  8. 315
  9. 80
  10. 36
  11. 16
  12. 14
  13. 30
  14. 125
  15. 301
  16. 63
  17. 12
  18. 9
  19. 357
  20. 40
  21. 42
  22. 9
  23. 16
  24. 14
  25. 35
  26. 297
  27. 4
  28. 275
  29. 329
  30. 93
  31. 51
  32. 40
  33. 21
  34. 91
  35. 77
  36. 128
  37. 36
  38. 16
  39. 30
  40. 36

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