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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 576 · 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 7 : 8. There are 28 boys. How many girls are there?
  2. 2.Divide ₹385 between Isha and Rohan in the ratio 6 : 1. How much does Isha get (in ₹)?
  3. 3.Divide ₹117 between Kavya and Rohan in the ratio 7 : 2. How much does Kavya get (in ₹)?
  4. 4.Divide ₹250 between Zoya and Meera in the ratio 1 : 4. How much does Meera get (in ₹)?
  5. 5.8 : 7 = 16 : ?
  6. 6.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 6 : 5. There are 30 boys. How many girls are there?
  9. 9.9 : 2 = 81 : ?
  10. 10.11 : 4 = 33 : ?
  11. 11.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  12. 12.Divide ₹396 between Karan and Aarav in the ratio 8 : 1. How much does Karan get (in ₹)?
  13. 13.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  14. 14.Divide ₹357 between Rohan and Priya in the ratio 9 : 8. How much does Rohan get (in ₹)?
  15. 15.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  16. 16.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  17. 17.3 : 7 = 18 : ?
  18. 18.Divide ₹330 between Zoya and Tara in the ratio 9 : 1. How much does Tara get (in ₹)?
  19. 19.Divide ₹240 between Kabir and Manav in the ratio 7 : 8. How much does Manav get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  22. 22.Divide ₹63 between Meera and Diya in the ratio 2 : 1. How much does Meera get (in ₹)?
  23. 23.Divide ₹605 between Sneha and Ananya in the ratio 9 : 2. How much does Ananya get (in ₹)?
  24. 24.Divide ₹117 between Rahul and Ishaan in the ratio 8 : 1. How much does Rahul get (in ₹)?
  25. 25.Divide ₹312 between Ananya and Rohan in the ratio 3 : 5. How much does Ananya get (in ₹)?
  26. 26.2 : 6 = 12 : ?
  27. 27.9 : 5 = 36 : ?
  28. 28.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  29. 29.Divide ₹300 between Zoya and Manav in the ratio 7 : 8. How much does Zoya get (in ₹)?
  30. 30.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  31. 31.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  32. 32.Divide ₹198 between Pooja and Isha in the ratio 8 : 3. How much does Pooja get (in ₹)?
  33. 33.Divide ₹296 between Rahul and Nisha in the ratio 1 : 7. How much does Rahul get (in ₹)?
  34. 34.Divide ₹184 between Rohan and Diya in the ratio 7 : 1. How much does Rohan get (in ₹)?
  35. 35.12 : 3 = 60 : ?
  36. 36.Divide ₹216 between Ishaan and Rahul in the ratio 5 : 7. How much does Ishaan get (in ₹)?
  37. 37.7 : 3 = 14 : ?
  38. 38.11 : 13 = 66 : ?
  39. 39.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  40. 40.10 : 14 = 50 : ?

Answer key

  1. 32
  2. 330
  3. 91
  4. 200
  5. 14
  6. 3
  7. 3
  8. 25
  9. 18
  10. 12
  11. 21
  12. 352
  13. 48
  14. 189
  15. 8
  16. 80
  17. 42
  18. 33
  19. 128
  20. 4
  21. 21
  22. 42
  23. 110
  24. 104
  25. 117
  26. 36
  27. 20
  28. 125
  29. 140
  30. 96
  31. 50
  32. 144
  33. 37
  34. 161
  35. 15
  36. 90
  37. 6
  38. 78
  39. 6
  40. 70

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