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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 98 · 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 3 : 7. There are 6 boys. How many girls are there?
  2. 2.Divide ₹260 between Dev and Ananya in the ratio 8 : 5. How much does Dev get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
  5. 5.Divide ₹174 between Aarav and Pooja in the ratio 5 : 1. How much does Pooja get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  7. 7.Divide ₹494 between Diya and Tara in the ratio 6 : 7. How much does Tara get (in ₹)?
  8. 8.5 : 14 = 20 : ?
  9. 9.Divide ₹400 between Dev and Kavya in the ratio 7 : 9. How much does Dev get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  11. 11.Divide ₹476 between Rohan and Karan in the ratio 9 : 5. How much does Rohan get (in ₹)?
  12. 12.7 : 9 = 21 : ?
  13. 13.Divide ₹99 between Kabir and Dev in the ratio 1 : 8. How much does Kabir get (in ₹)?
  14. 14.Divide ₹450 between Rahul and Ananya in the ratio 8 : 1. How much does Rahul get (in ₹)?
  15. 15.Divide ₹456 between Priya and Ishaan in the ratio 1 : 7. How much does Priya get (in ₹)?
  16. 16.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  17. 17.Divide ₹328 between Ishaan and Rahul in the ratio 1 : 7. How much does Rahul get (in ₹)?
  18. 18.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  19. 19.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  20. 20.3 : 11 = 21 : ?
  21. 21.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
  22. 22.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  23. 23.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
  24. 24.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  25. 25.Divide ₹200 between Isha and Meera in the ratio 7 : 1. How much does Isha get (in ₹)?
  26. 26.12 : 13 = 108 : ?
  27. 27.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  28. 28.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
  30. 30.8 : 6 = 32 : ?
  31. 31.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  32. 32.12 : 14 = 24 : ?
  33. 33.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  34. 34.12 : 8 = 84 : ?
  35. 35.Divide ₹174 between Diya and Zoya in the ratio 1 : 2. How much does Zoya get (in ₹)?
  36. 36.7 : 14 = 42 : ?
  37. 37.The ratio of boys to girls in a class is 3 : 8. There are 27 boys. How many girls are there?
  38. 38.Divide ₹168 between Aarav and Arjun in the ratio 1 : 2. How much does Arjun get (in ₹)?
  39. 39.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  40. 40.4 : 7 = 28 : ?

Answer key

  1. 14
  2. 160
  3. 81
  4. 3
  5. 29
  6. 15
  7. 266
  8. 56
  9. 175
  10. 9
  11. 306
  12. 27
  13. 11
  14. 400
  15. 57
  16. 18
  17. 287
  18. 16
  19. 72
  20. 77
  21. 64
  22. 12
  23. 24
  24. 45
  25. 175
  26. 117
  27. 32
  28. 20
  29. 35
  30. 24
  31. 36
  32. 28
  33. 4
  34. 56
  35. 116
  36. 84
  37. 72
  38. 112
  39. 24
  40. 49

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