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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 443 · 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 4 : 5. There are 20 boys. How many girls are there?
  2. 2.10 : 7 = 50 : ?
  3. 3.The ratio of boys to girls in a class is 9 : 8. There are 45 boys. How many girls are there?
  4. 4.Divide ₹312 between Vivaan and Zoya in the ratio 1 : 7. How much does Zoya get (in ₹)?
  5. 5.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  6. 6.Divide ₹336 between Sneha and Pooja in the ratio 5 : 1. How much does Sneha get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  8. 8.Divide ₹645 between Karan and Vivaan in the ratio 8 : 7. How much does Vivaan get (in ₹)?
  9. 9.7 : 6 = 42 : ?
  10. 10.Divide ₹88 between Kabir and Nisha in the ratio 4 : 7. How much does Nisha get (in ₹)?
  11. 11.Divide ₹84 between Diya and Meera in the ratio 2 : 1. How much does Diya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  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 ₹72 between Diya and Meera in the ratio 1 : 5. How much does Meera get (in ₹)?
  15. 15.4 : 10 = 8 : ?
  16. 16.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  17. 17.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  18. 18.10 : 2 = 40 : ?
  19. 19.10 : 2 = 20 : ?
  20. 20.Divide ₹371 between Diya and Ananya in the ratio 6 : 1. How much does Diya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  22. 22.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  23. 23.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  24. 24.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  25. 25.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
  26. 26.2 : 10 = 4 : ?
  27. 27.Divide ₹75 between Isha and Dev in the ratio 3 : 2. How much does Isha get (in ₹)?
  28. 28.6 : 15 = 48 : ?
  29. 29.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  30. 30.7 : 5 = 21 : ?
  31. 31.12 : 7 = 108 : ?
  32. 32.Divide ₹564 between Meera and Aditya in the ratio 5 : 7. How much does Aditya get (in ₹)?
  33. 33.8 : 14 = 32 : ?
  34. 34.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  35. 35.Divide ₹95 between Karan and Rahul in the ratio 2 : 3. How much does Karan get (in ₹)?
  36. 36.Divide ₹56 between Kavya and Diya in the ratio 1 : 3. How much does Kavya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  38. 38.Divide ₹304 between Isha and Zoya in the ratio 9 : 7. How much does Zoya get (in ₹)?
  39. 39.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  40. 40.7 : 2 = 21 : ?

Answer key

  1. 25
  2. 35
  3. 40
  4. 273
  5. 36
  6. 280
  7. 24
  8. 301
  9. 36
  10. 56
  11. 56
  12. 8
  13. 20
  14. 60
  15. 20
  16. 128
  17. 175
  18. 8
  19. 4
  20. 318
  21. 24
  22. 32
  23. 30
  24. 12
  25. 36
  26. 20
  27. 45
  28. 120
  29. 80
  30. 15
  31. 63
  32. 329
  33. 56
  34. 72
  35. 38
  36. 14
  37. 40
  38. 133
  39. 18
  40. 6

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