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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 842 · 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 6 : 1. There are 18 boys. How many girls are there?
  2. 2.6 : 7 = 36 : ?
  3. 3.8 : 7 = 16 : ?
  4. 4.Divide ₹259 between Ananya and Zoya in the ratio 6 : 1. How much does Ananya get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  6. 6.2 : 4 = 6 : ?
  7. 7.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  8. 8.6 : 11 = 54 : ?
  9. 9.Divide ₹168 between Farhan and Isha in the ratio 9 : 5. How much does Farhan get (in ₹)?
  10. 10.10 : 5 = 40 : ?
  11. 11.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
  12. 12.5 : 14 = 45 : ?
  13. 13.Divide ₹27 between Aarav and Karan in the ratio 2 : 1. How much does Aarav get (in ₹)?
  14. 14.10 : 13 = 30 : ?
  15. 15.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  16. 16.9 : 4 = 72 : ?
  17. 17.12 : 3 = 84 : ?
  18. 18.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  19. 19.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  20. 20.Divide ₹294 between Isha and Saanvi in the ratio 1 : 5. How much does Saanvi get (in ₹)?
  21. 21.Divide ₹864 between Rohan and Meera in the ratio 9 : 7. How much does Rohan get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
  23. 23.Divide ₹273 between Diya and Aarav in the ratio 4 : 9. How much does Aarav get (in ₹)?
  24. 24.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  25. 25.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
  26. 26.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  27. 27.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  28. 28.11 : 5 = 22 : ?
  29. 29.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  30. 30.6 : 5 = 42 : ?
  31. 31.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  32. 32.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  33. 33.Divide ₹396 between Kabir and Kavya in the ratio 5 : 7. How much does Kavya get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  35. 35.Divide ₹128 between Vivaan and Ananya in the ratio 1 : 3. How much does Vivaan get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  37. 37.2 : 3 = 12 : ?
  38. 38.Divide ₹230 between Ananya and Karan in the ratio 1 : 4. How much does Ananya get (in ₹)?
  39. 39.Divide ₹231 between Ananya and Dev in the ratio 2 : 9. How much does Ananya get (in ₹)?
  40. 40.5 : 7 = 20 : ?

Answer key

  1. 3
  2. 42
  3. 14
  4. 222
  5. 35
  6. 12
  7. 16
  8. 99
  9. 108
  10. 20
  11. 36
  12. 126
  13. 18
  14. 39
  15. 32
  16. 32
  17. 21
  18. 36
  19. 12
  20. 245
  21. 486
  22. 35
  23. 189
  24. 64
  25. 90
  26. 54
  27. 112
  28. 10
  29. 144
  30. 35
  31. 32
  32. 21
  33. 231
  34. 4
  35. 32
  36. 5
  37. 18
  38. 46
  39. 42
  40. 28

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