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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 765 · 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 1 : 8. There are 9 boys. How many girls are there?
  2. 2.Divide ₹50 between Dev and Nisha in the ratio 2 : 3. How much does Dev get (in ₹)?
  3. 3.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  4. 4.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  5. 5.Divide ₹240 between Vivaan and Zoya in the ratio 9 : 1. How much does Vivaan get (in ₹)?
  6. 6.3 : 11 = 9 : ?
  7. 7.7 : 10 = 14 : ?
  8. 8.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  10. 10.Divide ₹132 between Karan and Nisha in the ratio 1 : 3. How much does Karan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  12. 12.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  13. 13.10 : 14 = 40 : ?
  14. 14.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  15. 15.Divide ₹261 between Vivaan and Rahul in the ratio 8 : 1. How much does Rahul get (in ₹)?
  16. 16.Divide ₹65 between Zoya and Ishaan in the ratio 7 : 6. How much does Ishaan get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  18. 18.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  19. 19.Divide ₹286 between Vivaan and Manav in the ratio 2 : 9. How much does Manav get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  21. 21.Divide ₹663 between Aarav and Ishaan in the ratio 8 : 9. How much does Ishaan get (in ₹)?
  22. 22.Divide ₹516 between Ananya and Dev in the ratio 7 : 5. How much does Ananya get (in ₹)?
  23. 23.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  24. 24.Divide ₹312 between Diya and Kavya in the ratio 5 : 7. How much does Kavya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  27. 27.Divide ₹390 between Zoya and Sneha in the ratio 1 : 9. How much does Zoya get (in ₹)?
  28. 28.Divide ₹165 between Rahul and Priya in the ratio 7 : 4. How much does Rahul get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
  30. 30.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  31. 31.Divide ₹330 between Aarav and Priya in the ratio 7 : 3. How much does Aarav get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  34. 34.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  35. 35.6 : 13 = 42 : ?
  36. 36.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  37. 37.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  38. 38.Divide ₹840 between Rohan and Kabir in the ratio 9 : 5. How much does Kabir get (in ₹)?
  39. 39.5 : 10 = 45 : ?
  40. 40.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?

Answer key

  1. 72
  2. 20
  3. 8
  4. 36
  5. 216
  6. 33
  7. 20
  8. 32
  9. 24
  10. 33
  11. 6
  12. 125
  13. 56
  14. 4
  15. 29
  16. 30
  17. 21
  18. 50
  19. 234
  20. 9
  21. 351
  22. 301
  23. 128
  24. 182
  25. 20
  26. 40
  27. 39
  28. 105
  29. 10
  30. 48
  31. 231
  32. 30
  33. 12
  34. 144
  35. 91
  36. 30
  37. 20
  38. 300
  39. 90
  40. 32

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