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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 123 · 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 ₹780 between Rahul and Saanvi in the ratio 4 : 9. How much does Rahul get (in ₹)?
  2. 2.12 : 2 = 36 : ?
  3. 3.Divide ₹117 between Diya and Isha in the ratio 7 : 2. How much does Diya get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  5. 5.Divide ₹153 between Karan and Arjun in the ratio 7 : 2. How much does Arjun get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  7. 7.Divide ₹318 between Ishaan and Arjun in the ratio 5 : 1. How much does Ishaan get (in ₹)?
  8. 8.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  9. 9.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
  10. 10.5 : 4 = 25 : ?
  11. 11.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  13. 13.Divide ₹168 between Ishaan and Pooja in the ratio 6 : 1. How much does Ishaan get (in ₹)?
  14. 14.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  15. 15.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  17. 17.6 : 15 = 36 : ?
  18. 18.3 : 7 = 12 : ?
  19. 19.9 : 6 = 18 : ?
  20. 20.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  21. 21.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  22. 22.10 : 12 = 90 : ?
  23. 23.Divide ₹363 between Kabir and Dev in the ratio 3 : 8. How much does Kabir get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 2 : 9. There are 14 boys. How many girls are there?
  25. 25.5 : 3 = 45 : ?
  26. 26.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  28. 28.Divide ₹385 between Rahul and Saanvi in the ratio 2 : 5. How much does Saanvi get (in ₹)?
  29. 29.8 : 6 = 24 : ?
  30. 30.9 : 7 = 45 : ?
  31. 31.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  32. 32.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  33. 33.Divide ₹464 between Kavya and Sneha in the ratio 9 : 7. How much does Kavya get (in ₹)?
  34. 34.Divide ₹720 between Aditya and Ishaan in the ratio 8 : 7. How much does Ishaan get (in ₹)?
  35. 35.8 : 14 = 32 : ?
  36. 36.Divide ₹495 between Karan and Isha in the ratio 2 : 9. How much does Isha get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  38. 38.Divide ₹48 between Nisha and Manav in the ratio 2 : 1. How much does Manav get (in ₹)?
  39. 39.Divide ₹60 between Priya and Isha in the ratio 1 : 3. How much does Priya get (in ₹)?
  40. 40.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).

Answer key

  1. 240
  2. 6
  3. 91
  4. 28
  5. 34
  6. 72
  7. 265
  8. 128
  9. 36
  10. 20
  11. 48
  12. 25
  13. 144
  14. 32
  15. 6
  16. 7
  17. 90
  18. 28
  19. 12
  20. 48
  21. 32
  22. 108
  23. 99
  24. 63
  25. 27
  26. 16
  27. 21
  28. 275
  29. 18
  30. 35
  31. 28
  32. 21
  33. 261
  34. 336
  35. 56
  36. 405
  37. 7
  38. 16
  39. 15
  40. 200

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