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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 152 · 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 2 and 8 (that is, 2 : 8 = 8 : ?).
  3. 3.7 : 15 = 35 : ?
  4. 4.3 : 2 = 15 : ?
  5. 5.12 : 10 = 36 : ?
  6. 6.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  7. 7.Divide ₹195 between Kavya and Aarav in the ratio 1 : 4. How much does Kavya get (in ₹)?
  8. 8.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  9. 9.Divide ₹24 between Arjun and Ananya in the ratio 1 : 2. How much does Ananya get (in ₹)?
  10. 10.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  11. 11.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  12. 12.Divide ₹495 between Dev and Karan in the ratio 7 : 4. How much does Dev get (in ₹)?
  13. 13.Divide ₹540 between Ananya and Vivaan in the ratio 2 : 7. How much does Vivaan get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 3 : 5. There are 9 boys. How many girls are there?
  15. 15.11 : 13 = 22 : ?
  16. 16.10 : 12 = 50 : ?
  17. 17.Divide ₹54 between Aarav and Kavya in the ratio 2 : 7. How much does Kavya get (in ₹)?
  18. 18.Divide ₹54 between Nisha and Vivaan in the ratio 1 : 8. How much does Vivaan get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  20. 20.Divide ₹590 between Diya and Zoya in the ratio 3 : 7. How much does Zoya get (in ₹)?
  21. 21.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  22. 22.Divide ₹84 between Diya and Karan in the ratio 1 : 2. How much does Diya get (in ₹)?
  23. 23.7 : 6 = 21 : ?
  24. 24.Divide ₹288 between Arjun and Karan in the ratio 9 : 7. How much does Arjun get (in ₹)?
  25. 25.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  26. 26.4 : 14 = 28 : ?
  27. 27.Divide ₹306 between Rahul and Pooja in the ratio 2 : 7. How much does Pooja get (in ₹)?
  28. 28.Divide ₹234 between Rahul and Aditya in the ratio 1 : 5. How much does Rahul get (in ₹)?
  29. 29.Divide ₹885 between Aditya and Kabir in the ratio 8 : 7. How much does Aditya get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  33. 33.5 : 15 = 35 : ?
  34. 34.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  35. 35.Divide ₹512 between Diya and Nisha in the ratio 7 : 9. How much does Nisha get (in ₹)?
  36. 36.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  37. 37.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  38. 38.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  39. 39.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  40. 40.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).

Answer key

  1. 32
  2. 32
  3. 75
  4. 10
  5. 30
  6. 10
  7. 39
  8. 96
  9. 16
  10. 36
  11. 72
  12. 315
  13. 420
  14. 15
  15. 26
  16. 60
  17. 42
  18. 48
  19. 50
  20. 413
  21. 64
  22. 28
  23. 18
  24. 162
  25. 200
  26. 98
  27. 238
  28. 39
  29. 472
  30. 12
  31. 63
  32. 8
  33. 105
  34. 12
  35. 288
  36. 80
  37. 20
  38. 112
  39. 72
  40. 20

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