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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 146 · 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.Divide ₹287 between Karan and Manav in the ratio 3 : 4. How much does Karan get (in ₹)?
  2. 2.Divide ₹324 between Saanvi and Aditya in the ratio 5 : 4. How much does Aditya get (in ₹)?
  3. 3.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  4. 4.8 : 10 = 72 : ?
  5. 5.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  6. 6.Divide ₹615 between Pooja and Priya in the ratio 8 : 7. How much does Priya get (in ₹)?
  7. 7.Divide ₹265 between Farhan and Ananya in the ratio 3 : 2. How much does Ananya get (in ₹)?
  8. 8.10 : 2 = 30 : ?
  9. 9.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  10. 10.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 6 : 5. There are 54 boys. How many girls are there?
  15. 15.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  16. 16.Divide ₹176 between Aarav and Arjun in the ratio 4 : 7. How much does Aarav get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  18. 18.Divide ₹780 between Priya and Zoya in the ratio 4 : 9. How much does Priya get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  20. 20.11 : 3 = 44 : ?
  21. 21.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  22. 22.Divide ₹481 between Karan and Tara in the ratio 6 : 7. How much does Tara get (in ₹)?
  23. 23.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  24. 24.12 : 6 = 108 : ?
  25. 25.Divide ₹540 between Isha and Tara in the ratio 9 : 1. How much does Tara get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  27. 27.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  28. 28.Divide ₹200 between Aarav and Rahul in the ratio 9 : 1. How much does Aarav get (in ₹)?
  29. 29.Divide ₹259 between Isha and Tara in the ratio 6 : 1. How much does Tara get (in ₹)?
  30. 30.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  31. 31.Divide ₹372 between Arjun and Isha in the ratio 5 : 7. How much does Arjun get (in ₹)?
  32. 32.6 : 15 = 42 : ?
  33. 33.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
  34. 34.Divide ₹70 between Farhan and Ananya in the ratio 1 : 6. How much does Farhan get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
  36. 36.Divide ₹462 between Farhan and Arjun in the ratio 7 : 4. How much does Arjun get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  38. 38.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  39. 39.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  40. 40.8 : 6 = 32 : ?

Answer key

  1. 123
  2. 144
  3. 112
  4. 90
  5. 6
  6. 287
  7. 106
  8. 6
  9. 24
  10. 56
  11. 16
  12. 2
  13. 24
  14. 45
  15. 225
  16. 64
  17. 30
  18. 240
  19. 64
  20. 12
  21. 20
  22. 259
  23. 75
  24. 54
  25. 54
  26. 48
  27. 150
  28. 180
  29. 37
  30. 12
  31. 155
  32. 105
  33. 42
  34. 10
  35. 36
  36. 168
  37. 20
  38. 50
  39. 144
  40. 24

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