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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 181 · 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 ₹252 between Ananya and Ishaan in the ratio 5 : 2. How much does Ananya get (in ₹)?
  2. 2.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  3. 3.Divide ₹400 between Kabir and Ishaan in the ratio 3 : 5. How much does Kabir get (in ₹)?
  4. 4.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  5. 5.9 : 5 = 27 : ?
  6. 6.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  7. 7.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  8. 8.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  9. 9.5 : 15 = 10 : ?
  10. 10.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  11. 11.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  12. 12.Divide ₹65 between Sneha and Arjun in the ratio 9 : 4. How much does Sneha get (in ₹)?
  13. 13.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  14. 14.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  15. 15.5 : 14 = 35 : ?
  16. 16.11 : 14 = 66 : ?
  17. 17.Divide ₹627 between Rohan and Karan in the ratio 2 : 9. How much does Karan get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 9 : 7. There are 81 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  21. 21.Divide ₹207 between Zoya and Ananya in the ratio 1 : 8. How much does Zoya get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  23. 23.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  24. 24.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
  26. 26.Divide ₹165 between Sneha and Pooja in the ratio 2 : 1. How much does Pooja get (in ₹)?
  27. 27.Divide ₹308 between Manav and Aarav in the ratio 4 : 3. How much does Manav get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  29. 29.Divide ₹580 between Sneha and Aditya in the ratio 7 : 3. How much does Aditya get (in ₹)?
  30. 30.Divide ₹110 between Isha and Vivaan in the ratio 9 : 1. How much does Vivaan get (in ₹)?
  31. 31.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  32. 32.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  33. 33.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  35. 35.Divide ₹204 between Tara and Aarav in the ratio 5 : 7. How much does Aarav get (in ₹)?
  36. 36.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  37. 37.8 : 4 = 24 : ?
  38. 38.Divide ₹495 between Pooja and Diya in the ratio 7 : 4. How much does Diya get (in ₹)?
  39. 39.9 : 7 = 45 : ?
  40. 40.Divide ₹539 between Tara and Aditya in the ratio 7 : 4. How much does Tara get (in ₹)?

Answer key

  1. 180
  2. 32
  3. 150
  4. 32
  5. 15
  6. 20
  7. 15
  8. 80
  9. 30
  10. 12
  11. 144
  12. 45
  13. 75
  14. 15
  15. 98
  16. 84
  17. 513
  18. 63
  19. 30
  20. 35
  21. 23
  22. 10
  23. 112
  24. 21
  25. 32
  26. 55
  27. 176
  28. 27
  29. 174
  30. 11
  31. 96
  32. 128
  33. 40
  34. 12
  35. 119
  36. 16
  37. 12
  38. 180
  39. 35
  40. 343

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