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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 723 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
  3. 3.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  4. 4.The ratio of boys to girls in a class is 1 : 8. There are 7 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  6. 6.Divide ₹260 between Pooja and Zoya in the ratio 1 : 9. How much does Zoya get (in ₹)?
  7. 7.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  8. 8.Divide ₹259 between Ananya and Sneha in the ratio 3 : 4. How much does Ananya get (in ₹)?
  9. 9.Divide ₹175 between Rahul and Rohan in the ratio 4 : 3. How much does Rohan get (in ₹)?
  10. 10.Divide ₹126 between Priya and Nisha in the ratio 7 : 2. How much does Priya get (in ₹)?
  11. 11.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  12. 12.Divide ₹56 between Dev and Ananya in the ratio 3 : 5. How much does Dev get (in ₹)?
  13. 13.3 : 5 = 21 : ?
  14. 14.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  15. 15.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  16. 16.Divide ₹264 between Zoya and Kavya in the ratio 9 : 2. How much does Kavya get (in ₹)?
  17. 17.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  18. 18.Divide ₹243 between Sneha and Nisha in the ratio 7 : 2. How much does Sneha get (in ₹)?
  19. 19.2 : 4 = 4 : ?
  20. 20.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  21. 21.2 : 5 = 18 : ?
  22. 22.Divide ₹77 between Dev and Rohan in the ratio 3 : 8. How much does Rohan get (in ₹)?
  23. 23.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  24. 24.9 : 14 = 81 : ?
  25. 25.8 : 15 = 48 : ?
  26. 26.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  27. 27.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  28. 28.3 : 11 = 6 : ?
  29. 29.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  30. 30.Divide ₹189 between Karan and Isha in the ratio 4 : 3. How much does Karan get (in ₹)?
  31. 31.3 : 14 = 18 : ?
  32. 32.Divide ₹33 between Kavya and Saanvi in the ratio 1 : 2. How much does Kavya get (in ₹)?
  33. 33.11 : 5 = 33 : ?
  34. 34.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  35. 35.Divide ₹539 between Sneha and Kavya in the ratio 3 : 8. How much does Kavya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  37. 37.Divide ₹420 between Manav and Kavya in the ratio 1 : 6. How much does Manav get (in ₹)?
  38. 38.Divide ₹88 between Sneha and Vivaan in the ratio 3 : 1. How much does Sneha get (in ₹)?
  39. 39.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  40. 40.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?

Answer key

  1. 25
  2. 25
  3. 36
  4. 56
  5. 4
  6. 234
  7. 80
  8. 111
  9. 75
  10. 98
  11. 48
  12. 21
  13. 35
  14. 70
  15. 20
  16. 48
  17. 150
  18. 189
  19. 8
  20. 32
  21. 45
  22. 56
  23. 75
  24. 126
  25. 90
  26. 24
  27. 40
  28. 22
  29. 4
  30. 108
  31. 84
  32. 11
  33. 15
  34. 72
  35. 392
  36. 36
  37. 60
  38. 66
  39. 54
  40. 72

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