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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 591 · 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.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  2. 2.The ratio of boys to girls in a class is 4 : 3. There are 20 boys. How many girls are there?
  3. 3.Divide ₹48 between Rohan and Ananya in the ratio 1 : 7. How much does Ananya get (in ₹)?
  4. 4.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  5. 5.10 : 3 = 90 : ?
  6. 6.7 : 12 = 21 : ?
  7. 7.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  8. 8.7 : 2 = 14 : ?
  9. 9.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  10. 10.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  11. 11.4 : 11 = 8 : ?
  12. 12.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  14. 14.Divide ₹221 between Ananya and Meera in the ratio 5 : 8. How much does Meera get (in ₹)?
  15. 15.2 : 4 = 4 : ?
  16. 16.Divide ₹371 between Karan and Tara in the ratio 3 : 4. How much does Karan get (in ₹)?
  17. 17.Divide ₹624 between Zoya and Vivaan in the ratio 7 : 6. How much does Vivaan get (in ₹)?
  18. 18.2 : 3 = 10 : ?
  19. 19.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  20. 20.Divide ₹42 between Aarav and Nisha in the ratio 5 : 2. How much does Aarav get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  23. 23.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  24. 24.Divide ₹561 between Kabir and Pooja in the ratio 2 : 9. How much does Kabir get (in ₹)?
  25. 25.11 : 6 = 88 : ?
  26. 26.Divide ₹120 between Kavya and Arjun in the ratio 1 : 2. How much does Kavya get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  29. 29.Divide ₹144 between Zoya and Ishaan in the ratio 1 : 5. How much does Ishaan get (in ₹)?
  30. 30.4 : 9 = 36 : ?
  31. 31.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  32. 32.4 : 5 = 28 : ?
  33. 33.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  35. 35.Divide ₹126 between Diya and Karan in the ratio 2 : 1. How much does Diya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  37. 37.Divide ₹240 between Ananya and Diya in the ratio 2 : 3. How much does Diya get (in ₹)?
  38. 38.3 : 6 = 9 : ?
  39. 39.11 : 8 = 55 : ?
  40. 40.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).

Answer key

  1. 80
  2. 15
  3. 42
  4. 125
  5. 27
  6. 36
  7. 16
  8. 4
  9. 20
  10. 18
  11. 22
  12. 21
  13. 21
  14. 136
  15. 8
  16. 159
  17. 288
  18. 15
  19. 128
  20. 30
  21. 72
  22. 14
  23. 48
  24. 102
  25. 48
  26. 40
  27. 16
  28. 4
  29. 120
  30. 81
  31. 6
  32. 35
  33. 28
  34. 16
  35. 84
  36. 18
  37. 144
  38. 18
  39. 40
  40. 175

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