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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 857 · 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 6 : 1. There are 18 boys. How many girls are there?
  2. 2.Divide ₹264 between Ananya and Diya in the ratio 7 : 1. How much does Diya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
  4. 4.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  5. 5.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  6. 6.7 : 2 = 63 : ?
  7. 7.Divide ₹539 between Kavya and Dev in the ratio 8 : 3. How much does Kavya get (in ₹)?
  8. 8.11 : 5 = 55 : ?
  9. 9.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  10. 10.10 : 2 = 70 : ?
  11. 11.3 : 13 = 24 : ?
  12. 12.2 : 11 = 14 : ?
  13. 13.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  14. 14.Divide ₹75 between Ishaan and Pooja in the ratio 8 : 7. How much does Ishaan get (in ₹)?
  15. 15.Divide ₹840 between Ananya and Ishaan in the ratio 8 : 7. How much does Ananya get (in ₹)?
  16. 16.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  17. 17.Divide ₹65 between Nisha and Isha in the ratio 2 : 3. How much does Nisha get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
  21. 21.Divide ₹154 between Manav and Rahul in the ratio 4 : 3. How much does Rahul get (in ₹)?
  22. 22.12 : 8 = 84 : ?
  23. 23.Divide ₹56 between Manav and Kavya in the ratio 3 : 5. How much does Manav get (in ₹)?
  24. 24.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  25. 25.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  26. 26.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  28. 28.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  29. 29.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
  30. 30.Divide ₹156 between Diya and Zoya in the ratio 7 : 5. How much does Diya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  34. 34.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  35. 35.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  36. 36.Divide ₹170 between Meera and Aarav in the ratio 9 : 8. How much does Aarav get (in ₹)?
  37. 37.Divide ₹532 between Dev and Tara in the ratio 5 : 9. How much does Dev get (in ₹)?
  38. 38.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  39. 39.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  40. 40.Divide ₹369 between Rahul and Kavya in the ratio 1 : 8. How much does Kavya get (in ₹)?

Answer key

  1. 3
  2. 33
  3. 35
  4. 63
  5. 72
  6. 18
  7. 392
  8. 25
  9. 112
  10. 14
  11. 104
  12. 77
  13. 12
  14. 40
  15. 448
  16. 36
  17. 26
  18. 2
  19. 4
  20. 3
  21. 66
  22. 56
  23. 21
  24. 16
  25. 12
  26. 36
  27. 72
  28. 8
  29. 10
  30. 91
  31. 28
  32. 12
  33. 15
  34. 50
  35. 150
  36. 80
  37. 190
  38. 36
  39. 32
  40. 328

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