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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 326 · 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 ₹84 between Saanvi and Rahul in the ratio 3 : 4. How much does Rahul get (in ₹)?
  2. 2.3 : 14 = 21 : ?
  3. 3.Divide ₹145 between Nisha and Sneha in the ratio 1 : 4. How much does Nisha get (in ₹)?
  4. 4.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  5. 5.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  7. 7.12 : 2 = 24 : ?
  8. 8.9 : 2 = 27 : ?
  9. 9.2 : 5 = 8 : ?
  10. 10.Divide ₹220 between Pooja and Rohan in the ratio 4 : 7. How much does Rohan get (in ₹)?
  11. 11.Divide ₹301 between Farhan and Tara in the ratio 1 : 6. How much does Farhan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
  13. 13.6 : 7 = 24 : ?
  14. 14.Divide ₹280 between Kavya and Ananya in the ratio 1 : 6. How much does Ananya get (in ₹)?
  15. 15.Divide ₹450 between Aditya and Vivaan in the ratio 7 : 3. How much does Aditya get (in ₹)?
  16. 16.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  17. 17.8 : 12 = 16 : ?
  18. 18.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  21. 21.Divide ₹75 between Ananya and Sneha in the ratio 8 : 7. How much does Ananya get (in ₹)?
  22. 22.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  23. 23.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  24. 24.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
  25. 25.Divide ₹352 between Ananya and Nisha in the ratio 5 : 3. How much does Ananya get (in ₹)?
  26. 26.3 : 13 = 12 : ?
  27. 27.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
  28. 28.Divide ₹290 between Vivaan and Diya in the ratio 3 : 2. How much does Vivaan get (in ₹)?
  29. 29.Divide ₹165 between Diya and Aarav in the ratio 2 : 1. How much does Aarav get (in ₹)?
  30. 30.12 : 2 = 96 : ?
  31. 31.11 : 6 = 55 : ?
  32. 32.Divide ₹253 between Meera and Farhan in the ratio 9 : 2. How much does Farhan get (in ₹)?
  33. 33.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  34. 34.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  35. 35.12 : 5 = 24 : ?
  36. 36.12 : 5 = 60 : ?
  37. 37.7 : 10 = 14 : ?
  38. 38.Divide ₹344 between Sneha and Aarav in the ratio 7 : 1. How much does Aarav get (in ₹)?
  39. 39.5 : 12 = 25 : ?
  40. 40.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?

Answer key

  1. 48
  2. 98
  3. 29
  4. 50
  5. 24
  6. 45
  7. 4
  8. 6
  9. 20
  10. 140
  11. 43
  12. 42
  13. 28
  14. 240
  15. 315
  16. 27
  17. 24
  18. 81
  19. 40
  20. 20
  21. 40
  22. 32
  23. 80
  24. 5
  25. 220
  26. 52
  27. 7
  28. 174
  29. 55
  30. 16
  31. 30
  32. 46
  33. 96
  34. 27
  35. 10
  36. 25
  37. 20
  38. 43
  39. 60
  40. 6

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