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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 70 · 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 : 7. There are 24 boys. How many girls are there?
  2. 2.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  3. 3.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  4. 4.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  5. 5.Divide ₹408 between Aarav and Saanvi in the ratio 5 : 3. How much does Saanvi get (in ₹)?
  6. 6.Divide ₹165 between Rohan and Vivaan in the ratio 3 : 8. How much does Rohan get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
  10. 10.3 : 6 = 12 : ?
  11. 11.Divide ₹81 between Tara and Kavya in the ratio 7 : 2. How much does Kavya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
  13. 13.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  14. 14.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  15. 15.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  16. 16.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  17. 17.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  18. 18.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  19. 19.11 : 9 = 22 : ?
  20. 20.Divide ₹649 between Priya and Ananya in the ratio 3 : 8. How much does Priya get (in ₹)?
  21. 21.Divide ₹100 between Saanvi and Diya in the ratio 4 : 1. How much does Saanvi get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  23. 23.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  24. 24.Divide ₹343 between Aarav and Kavya in the ratio 6 : 1. How much does Kavya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  26. 26.6 : 9 = 48 : ?
  27. 27.Divide ₹780 between Isha and Nisha in the ratio 4 : 9. How much does Nisha get (in ₹)?
  28. 28.Divide ₹63 between Dev and Sneha in the ratio 1 : 6. How much does Dev get (in ₹)?
  29. 29.3 : 8 = 18 : ?
  30. 30.Divide ₹30 between Pooja and Priya in the ratio 4 : 1. How much does Pooja get (in ₹)?
  31. 31.7 : 3 = 42 : ?
  32. 32.The ratio of boys to girls in a class is 8 : 9. There are 48 boys. How many girls are there?
  33. 33.3 : 2 = 21 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 7. There are 30 boys. How many girls are there?
  35. 35.Divide ₹430 between Meera and Ananya in the ratio 9 : 1. How much does Ananya get (in ₹)?
  36. 36.8 : 7 = 48 : ?
  37. 37.Divide ₹420 between Rohan and Aditya in the ratio 1 : 9. How much does Rohan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?
  40. 40.8 : 14 = 72 : ?

Answer key

  1. 21
  2. 36
  3. 45
  4. 63
  5. 153
  6. 45
  7. 21
  8. 30
  9. 25
  10. 24
  11. 18
  12. 10
  13. 48
  14. 28
  15. 144
  16. 20
  17. 175
  18. 6
  19. 18
  20. 177
  21. 80
  22. 18
  23. 32
  24. 49
  25. 90
  26. 72
  27. 540
  28. 9
  29. 48
  30. 24
  31. 18
  32. 54
  33. 14
  34. 42
  35. 43
  36. 42
  37. 42
  38. 18
  39. 70
  40. 126

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