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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 57 · 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 9 and 18 (that is, 9 : 18 = 18 : ?).
  2. 2.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  3. 3.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
  4. 4.11 : 9 = 99 : ?
  5. 5.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  6. 6.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  7. 7.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  8. 8.8 : 10 = 16 : ?
  9. 9.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  10. 10.Divide ₹270 between Aarav and Tara in the ratio 5 : 1. How much does Tara get (in ₹)?
  11. 11.2 : 10 = 14 : ?
  12. 12.Divide ₹66 between Kabir and Pooja in the ratio 4 : 7. How much does Kabir get (in ₹)?
  13. 13.Divide ₹40 between Aditya and Zoya in the ratio 1 : 4. How much does Aditya get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  16. 16.Divide ₹477 between Sneha and Dev in the ratio 8 : 1. How much does Sneha get (in ₹)?
  17. 17.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  18. 18.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  19. 19.Divide ₹605 between Tara and Isha in the ratio 2 : 9. How much does Isha get (in ₹)?
  20. 20.Divide ₹45 between Kabir and Arjun in the ratio 2 : 3. How much does Kabir get (in ₹)?
  21. 21.Divide ₹65 between Karan and Ananya in the ratio 3 : 2. How much does Karan get (in ₹)?
  22. 22.3 : 9 = 27 : ?
  23. 23.Divide ₹154 between Tara and Zoya in the ratio 7 : 4. How much does Tara get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  25. 25.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  26. 26.3 : 5 = 27 : ?
  27. 27.Divide ₹270 between Kabir and Rahul in the ratio 7 : 3. How much does Kabir get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  29. 29.Divide ₹440 between Kabir and Aarav in the ratio 1 : 9. How much does Aarav get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
  31. 31.Divide ₹580 between Meera and Tara in the ratio 3 : 7. How much does Meera get (in ₹)?
  32. 32.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  33. 33.Divide ₹377 between Rohan and Meera in the ratio 8 : 5. How much does Rohan get (in ₹)?
  34. 34.2 : 4 = 16 : ?
  35. 35.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  36. 36.Divide ₹99 between Ananya and Diya in the ratio 2 : 7. How much does Diya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  38. 38.11 : 12 = 66 : ?
  39. 39.5 : 9 = 10 : ?
  40. 40.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?

Answer key

  1. 36
  2. 16
  3. 18
  4. 81
  5. 18
  6. 225
  7. 72
  8. 20
  9. 2
  10. 45
  11. 70
  12. 24
  13. 8
  14. 12
  15. 18
  16. 424
  17. 48
  18. 14
  19. 495
  20. 18
  21. 39
  22. 81
  23. 98
  24. 32
  25. 24
  26. 45
  27. 189
  28. 56
  29. 396
  30. 45
  31. 174
  32. 81
  33. 232
  34. 32
  35. 144
  36. 77
  37. 21
  38. 72
  39. 18
  40. 56

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