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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 906 · 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.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  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 5 : 7. There are 35 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 5 : 9. There are 35 boys. How many girls are there?
  5. 5.Divide ₹450 between Kabir and Sneha in the ratio 8 : 1. How much does Kabir get (in ₹)?
  6. 6.12 : 3 = 36 : ?
  7. 7.Divide ₹413 between Arjun and Isha in the ratio 3 : 4. How much does Isha get (in ₹)?
  8. 8.2 : 7 = 10 : ?
  9. 9.4 : 5 = 36 : ?
  10. 10.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  11. 11.6 : 11 = 18 : ?
  12. 12.Divide ₹350 between Arjun and Priya in the ratio 1 : 9. How much does Arjun get (in ₹)?
  13. 13.Divide ₹598 between Karan and Rahul in the ratio 4 : 9. How much does Rahul get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 5 : 8. There are 35 boys. How many girls are there?
  16. 16.Divide ₹378 between Diya and Pooja in the ratio 1 : 8. How much does Pooja get (in ₹)?
  17. 17.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  18. 18.The ratio of boys to girls in a class is 5 : 4. There are 50 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  20. 20.12 : 2 = 72 : ?
  21. 21.8 : 14 = 48 : ?
  22. 22.Divide ₹156 between Sneha and Arjun in the ratio 4 : 9. How much does Sneha get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  24. 24.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  25. 25.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  26. 26.Divide ₹54 between Rohan and Priya in the ratio 4 : 5. How much does Rohan get (in ₹)?
  27. 27.Divide ₹414 between Saanvi and Aditya in the ratio 5 : 4. How much does Saanvi get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 7 : 6. There are 21 boys. How many girls are there?
  30. 30.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  31. 31.9 : 7 = 45 : ?
  32. 32.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  33. 33.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  34. 34.12 : 14 = 96 : ?
  35. 35.Divide ₹221 between Kabir and Vivaan in the ratio 9 : 4. How much does Kabir get (in ₹)?
  36. 36.12 : 8 = 96 : ?
  37. 37.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  38. 38.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  39. 39.6 : 4 = 36 : ?
  40. 40.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?

Answer key

  1. 32
  2. 36
  3. 49
  4. 63
  5. 400
  6. 9
  7. 236
  8. 35
  9. 45
  10. 36
  11. 33
  12. 35
  13. 414
  14. 72
  15. 56
  16. 336
  17. 12
  18. 40
  19. 8
  20. 12
  21. 84
  22. 48
  23. 8
  24. 50
  25. 56
  26. 24
  27. 230
  28. 90
  29. 18
  30. 64
  31. 35
  32. 7
  33. 80
  34. 112
  35. 153
  36. 64
  37. 20
  38. 200
  39. 24
  40. 12

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