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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 114 · 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. 1.4 : 11 = 32 : ?
  2. 2.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  3. 3.Divide ₹270 between Aarav and Ananya in the ratio 1 : 5. How much does Aarav get (in ₹)?
  4. 4.Divide ₹376 between Kavya and Kabir in the ratio 3 : 5. How much does Kabir get (in ₹)?
  5. 5.Divide ₹660 between Isha and Dev in the ratio 8 : 7. How much does Isha get (in ₹)?
  6. 6.6 : 8 = 24 : ?
  7. 7.3 : 2 = 18 : ?
  8. 8.3 : 14 = 27 : ?
  9. 9.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  10. 10.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  11. 11.Divide ₹242 between Zoya and Aarav in the ratio 5 : 6. How much does Zoya get (in ₹)?
  12. 12.Divide ₹768 between Nisha and Karan in the ratio 9 : 7. How much does Nisha get (in ₹)?
  13. 13.Divide ₹248 between Kabir and Tara in the ratio 5 : 3. How much does Kabir get (in ₹)?
  14. 14.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  15. 15.Divide ₹350 between Farhan and Kabir in the ratio 7 : 3. How much does Farhan get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  18. 18.Divide ₹280 between Aditya and Tara in the ratio 2 : 5. How much does Aditya get (in ₹)?
  19. 19.Divide ₹306 between Rahul and Nisha in the ratio 5 : 4. How much does Nisha get (in ₹)?
  20. 20.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  21. 21.2 : 3 = 4 : ?
  22. 22.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  23. 23.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  24. 24.12 : 4 = 36 : ?
  25. 25.6 : 10 = 54 : ?
  26. 26.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  28. 28.4 : 5 = 24 : ?
  29. 29.2 : 9 = 4 : ?
  30. 30.6 : 4 = 18 : ?
  31. 31.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  32. 32.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  33. 33.Divide ₹507 between Ananya and Kavya in the ratio 5 : 8. How much does Ananya get (in ₹)?
  34. 34.Divide ₹341 between Arjun and Aditya in the ratio 9 : 2. How much does Aditya get (in ₹)?
  35. 35.Divide ₹357 between Sneha and Karan in the ratio 1 : 6. How much does Karan get (in ₹)?
  36. 36.2 : 12 = 18 : ?
  37. 37.Divide ₹25 between Sneha and Diya in the ratio 1 : 4. How much does Diya get (in ₹)?
  38. 38.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  39. 39.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  40. 40.Divide ₹390 between Kabir and Aditya in the ratio 5 : 8. How much does Kabir get (in ₹)?

Answer key

  1. 88
  2. 24
  3. 45
  4. 235
  5. 352
  6. 32
  7. 12
  8. 126
  9. 36
  10. 45
  11. 110
  12. 432
  13. 155
  14. 20
  15. 245
  16. 7
  17. 9
  18. 80
  19. 136
  20. 175
  21. 6
  22. 8
  23. 36
  24. 12
  25. 90
  26. 80
  27. 5
  28. 30
  29. 18
  30. 12
  31. 100
  32. 24
  33. 195
  34. 62
  35. 306
  36. 108
  37. 20
  38. 200
  39. 12
  40. 150

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