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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 439 · 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. 1.6 : 3 = 18 : ?
  2. 2.Divide ₹294 between Aarav and Saanvi in the ratio 2 : 5. How much does Saanvi get (in ₹)?
  3. 3.Divide ₹25 between Rahul and Rohan in the ratio 2 : 3. How much does Rohan get (in ₹)?
  4. 4.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  5. 5.5 : 9 = 20 : ?
  6. 6.Divide ₹520 between Ananya and Aarav in the ratio 9 : 1. How much does Aarav get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  8. 8.Divide ₹429 between Diya and Isha in the ratio 6 : 7. How much does Diya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  10. 10.9 : 7 = 18 : ?
  11. 11.Divide ₹390 between Rahul and Aditya in the ratio 7 : 3. How much does Aditya get (in ₹)?
  12. 12.10 : 4 = 30 : ?
  13. 13.The ratio of boys to girls in a class is 5 : 7. There are 30 boys. How many girls are there?
  14. 14.Divide ₹413 between Ananya and Sneha in the ratio 1 : 6. How much does Ananya get (in ₹)?
  15. 15.Divide ₹400 between Aditya and Priya in the ratio 9 : 7. How much does Aditya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  18. 18.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  19. 19.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  20. 20.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  21. 21.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  23. 23.Divide ₹159 between Ananya and Farhan in the ratio 1 : 2. How much does Farhan get (in ₹)?
  24. 24.12 : 7 = 84 : ?
  25. 25.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  26. 26.2 : 15 = 10 : ?
  27. 27.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  28. 28.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  29. 29.3 : 2 = 18 : ?
  30. 30.Divide ₹468 between Sneha and Tara in the ratio 4 : 9. How much does Sneha get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  32. 32.Divide ₹540 between Kabir and Rahul in the ratio 3 : 7. How much does Kabir get (in ₹)?
  33. 33.6 : 14 = 18 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  35. 35.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  36. 36.Divide ₹294 between Karan and Manav in the ratio 9 : 5. How much does Karan get (in ₹)?
  37. 37.Divide ₹280 between Aarav and Meera in the ratio 4 : 1. How much does Meera get (in ₹)?
  38. 38.10 : 15 = 50 : ?
  39. 39.Divide ₹140 between Ananya and Meera in the ratio 2 : 3. How much does Ananya get (in ₹)?
  40. 40.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).

Answer key

  1. 9
  2. 210
  3. 15
  4. 24
  5. 36
  6. 52
  7. 10
  8. 198
  9. 27
  10. 14
  11. 117
  12. 12
  13. 42
  14. 59
  15. 225
  16. 2
  17. 45
  18. 63
  19. 16
  20. 81
  21. 8
  22. 20
  23. 106
  24. 49
  25. 63
  26. 75
  27. 8
  28. 72
  29. 12
  30. 144
  31. 10
  32. 162
  33. 42
  34. 36
  35. 125
  36. 189
  37. 56
  38. 75
  39. 56
  40. 28

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