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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 369 · 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.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  3. 3.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  4. 4.3 : 2 = 24 : ?
  5. 5.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  7. 7.4 : 2 = 24 : ?
  8. 8.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  9. 9.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  11. 11.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  12. 12.Divide ₹288 between Sneha and Saanvi in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  13. 13.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  14. 14.Divide ₹280 between Arjun and Zoya in the ratio 1 : 4. How much does Zoya get (in ₹)?
  15. 15.Divide ₹340 between Diya and Rohan in the ratio 8 : 9. How much does Rohan get (in ₹)?
  16. 16.11 : 13 = 22 : ?
  17. 17.Divide ₹247 between Tara and Kavya in the ratio 5 : 8. How much does Kavya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  19. 19.11 : 3 = 33 : ?
  20. 20.4 : 15 = 8 : ?
  21. 21.4 : 14 = 12 : ?
  22. 22.9 : 3 = 72 : ?
  23. 23.4 : 14 = 24 : ?
  24. 24.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  25. 25.12 : 15 = 24 : ?
  26. 26.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  27. 27.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  28. 28.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  29. 29.Divide ₹731 between Diya and Aarav in the ratio 9 : 8. How much does Aarav get (in ₹)?
  30. 30.Divide ₹572 between Karan and Rahul in the ratio 5 : 8. How much does Karan get (in ₹)?
  31. 31.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  32. 32.5 : 12 = 25 : ?
  33. 33.The ratio of boys to girls in a class is 7 : 6. There are 56 boys. How many girls are there?
  34. 34.Divide ₹689 between Saanvi and Isha in the ratio 5 : 8. How much does Saanvi get (in ₹)?
  35. 35.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  36. 36.Divide ₹400 between Priya and Saanvi in the ratio 5 : 3. How much does Priya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  38. 38.Divide ₹494 between Pooja and Aarav in the ratio 7 : 6. How much does Aarav get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
  40. 40.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).

Answer key

  1. 32
  2. 8
  3. 144
  4. 16
  5. 8
  6. 56
  7. 12
  8. 80
  9. 36
  10. 20
  11. 8
  12. 252
  13. 63
  14. 224
  15. 180
  16. 26
  17. 152
  18. 50
  19. 9
  20. 30
  21. 42
  22. 24
  23. 84
  24. 20
  25. 30
  26. 81
  27. 200
  28. 14
  29. 344
  30. 220
  31. 128
  32. 60
  33. 48
  34. 265
  35. 64
  36. 250
  37. 42
  38. 228
  39. 70
  40. 36

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