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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 451 · 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 7 : 1. There are 56 boys. How many girls are there?
  2. 2.9 : 5 = 54 : ?
  3. 3.5 : 13 = 10 : ?
  4. 4.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  5. 5.Divide ₹495 between Arjun and Nisha in the ratio 4 : 5. How much does Nisha get (in ₹)?
  6. 6.8 : 11 = 16 : ?
  7. 7.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  8. 8.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  9. 9.Divide ₹200 between Saanvi and Pooja in the ratio 4 : 1. How much does Saanvi get (in ₹)?
  10. 10.Divide ₹385 between Priya and Kabir in the ratio 2 : 5. How much does Kabir get (in ₹)?
  11. 11.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  12. 12.Divide ₹100 between Kavya and Rahul in the ratio 3 : 1. How much does Kavya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  14. 14.Divide ₹352 between Dev and Aditya in the ratio 3 : 5. How much does Aditya get (in ₹)?
  15. 15.6 : 10 = 48 : ?
  16. 16.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
  17. 17.7 : 12 = 14 : ?
  18. 18.Divide ₹108 between Sneha and Vivaan in the ratio 8 : 1. How much does Sneha get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  22. 22.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  23. 23.Divide ₹192 between Pooja and Aarav in the ratio 1 : 3. How much does Pooja get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  25. 25.Divide ₹396 between Arjun and Karan in the ratio 6 : 5. How much does Arjun get (in ₹)?
  26. 26.Divide ₹171 between Arjun and Manav in the ratio 1 : 8. How much does Manav get (in ₹)?
  27. 27.Divide ₹152 between Manav and Diya in the ratio 1 : 3. How much does Manav get (in ₹)?
  28. 28.Divide ₹245 between Pooja and Kavya in the ratio 1 : 6. How much does Pooja get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
  31. 31.Divide ₹84 between Saanvi and Vivaan in the ratio 1 : 6. How much does Vivaan get (in ₹)?
  32. 32.Divide ₹225 between Aarav and Ananya in the ratio 7 : 8. How much does Ananya get (in ₹)?
  33. 33.Divide ₹702 between Dev and Zoya in the ratio 9 : 4. How much does Dev get (in ₹)?
  34. 34.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  35. 35.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  36. 36.8 : 10 = 48 : ?
  37. 37.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  39. 39.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  40. 40.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?

Answer key

  1. 8
  2. 30
  3. 26
  4. 54
  5. 275
  6. 22
  7. 28
  8. 9
  9. 160
  10. 275
  11. 16
  12. 75
  13. 20
  14. 220
  15. 80
  16. 32
  17. 24
  18. 96
  19. 72
  20. 63
  21. 12
  22. 36
  23. 48
  24. 30
  25. 216
  26. 152
  27. 38
  28. 35
  29. 10
  30. 36
  31. 72
  32. 120
  33. 486
  34. 27
  35. 4
  36. 60
  37. 16
  38. 24
  39. 175
  40. 2

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