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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 860 · 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.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  2. 2.3 : 8 = 15 : ?
  3. 3.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  5. 5.10 : 6 = 70 : ?
  6. 6.5 : 12 = 10 : ?
  7. 7.The ratio of boys to girls in a class is 8 : 3. There are 48 boys. How many girls are there?
  8. 8.Divide ₹45 between Aditya and Kabir in the ratio 5 : 4. How much does Kabir get (in ₹)?
  9. 9.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  10. 10.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  11. 11.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  12. 12.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  14. 14.Divide ₹108 between Tara and Diya in the ratio 7 : 2. How much does Tara get (in ₹)?
  15. 15.Divide ₹140 between Aarav and Vivaan in the ratio 2 : 5. How much does Vivaan get (in ₹)?
  16. 16.Divide ₹598 between Meera and Pooja in the ratio 8 : 5. How much does Meera get (in ₹)?
  17. 17.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  18. 18.7 : 11 = 28 : ?
  19. 19.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  20. 20.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  21. 21.Divide ₹561 between Manav and Karan in the ratio 7 : 4. How much does Manav get (in ₹)?
  22. 22.4 : 14 = 12 : ?
  23. 23.10 : 9 = 20 : ?
  24. 24.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  25. 25.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  26. 26.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  27. 27.7 : 13 = 28 : ?
  28. 28.Divide ₹65 between Ananya and Aarav in the ratio 7 : 6. How much does Aarav get (in ₹)?
  29. 29.9 : 8 = 72 : ?
  30. 30.3 : 8 = 9 : ?
  31. 31.Divide ₹429 between Vivaan and Rohan in the ratio 6 : 5. How much does Rohan get (in ₹)?
  32. 32.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  33. 33.4 : 8 = 12 : ?
  34. 34.Divide ₹583 between Tara and Rohan in the ratio 4 : 7. How much does Tara get (in ₹)?
  35. 35.4 : 12 = 36 : ?
  36. 36.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  37. 37.Divide ₹451 between Tara and Sneha in the ratio 8 : 3. How much does Sneha get (in ₹)?
  38. 38.10 : 14 = 20 : ?
  39. 39.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  40. 40.Divide ₹264 between Saanvi and Kavya in the ratio 5 : 7. How much does Kavya get (in ₹)?

Answer key

  1. 6
  2. 40
  3. 45
  4. 49
  5. 42
  6. 24
  7. 18
  8. 20
  9. 18
  10. 20
  11. 225
  12. 36
  13. 12
  14. 84
  15. 100
  16. 368
  17. 81
  18. 44
  19. 12
  20. 175
  21. 357
  22. 42
  23. 18
  24. 36
  25. 48
  26. 64
  27. 52
  28. 30
  29. 64
  30. 24
  31. 195
  32. 32
  33. 24
  34. 212
  35. 108
  36. 54
  37. 123
  38. 28
  39. 14
  40. 154

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