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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 336 · 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 ₹288 between Aarav and Isha in the ratio 4 : 5. How much does Aarav get (in ₹)?
  2. 2.Divide ₹216 between Aarav and Dev in the ratio 3 : 5. How much does Dev get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  4. 4.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  5. 5.8 : 2 = 56 : ?
  6. 6.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  7. 7.Divide ₹369 between Isha and Ananya in the ratio 4 : 5. How much does Isha get (in ₹)?
  8. 8.Divide ₹300 between Vivaan and Karan in the ratio 3 : 2. How much does Vivaan get (in ₹)?
  9. 9.2 : 14 = 10 : ?
  10. 10.Divide ₹176 between Rohan and Priya in the ratio 9 : 7. How much does Priya get (in ₹)?
  11. 11.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  12. 12.Divide ₹216 between Pooja and Diya in the ratio 5 : 3. How much does Diya get (in ₹)?
  13. 13.Divide ₹60 between Farhan and Manav in the ratio 9 : 1. How much does Farhan get (in ₹)?
  14. 14.Divide ₹301 between Sneha and Ananya in the ratio 3 : 4. How much does Sneha get (in ₹)?
  15. 15.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  16. 16.Divide ₹459 between Meera and Aarav in the ratio 2 : 7. How much does Meera get (in ₹)?
  17. 17.9 : 13 = 72 : ?
  18. 18.5 : 6 = 40 : ?
  19. 19.Divide ₹84 between Pooja and Vivaan in the ratio 5 : 2. How much does Pooja get (in ₹)?
  20. 20.7 : 4 = 14 : ?
  21. 21.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  22. 22.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  23. 23.Divide ₹320 between Diya and Zoya in the ratio 3 : 5. How much does Diya get (in ₹)?
  24. 24.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  25. 25.The ratio of boys to girls in a class is 6 : 7. There are 54 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
  27. 27.5 : 13 = 45 : ?
  28. 28.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  33. 33.10 : 8 = 40 : ?
  34. 34.Divide ₹108 between Dev and Sneha in the ratio 5 : 1. How much does Sneha get (in ₹)?
  35. 35.Divide ₹95 between Nisha and Dev in the ratio 1 : 4. How much does Dev get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  37. 37.Divide ₹99 between Aarav and Kavya in the ratio 2 : 9. How much does Kavya get (in ₹)?
  38. 38.Divide ₹91 between Aditya and Arjun in the ratio 5 : 2. How much does Arjun get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  40. 40.Divide ₹210 between Diya and Tara in the ratio 6 : 1. How much does Diya get (in ₹)?

Answer key

  1. 128
  2. 135
  3. 3
  4. 112
  5. 14
  6. 54
  7. 164
  8. 180
  9. 70
  10. 77
  11. 75
  12. 81
  13. 54
  14. 129
  15. 63
  16. 102
  17. 104
  18. 48
  19. 60
  20. 8
  21. 48
  22. 80
  23. 120
  24. 144
  25. 63
  26. 60
  27. 117
  28. 20
  29. 28
  30. 7
  31. 20
  32. 54
  33. 32
  34. 18
  35. 76
  36. 81
  37. 81
  38. 26
  39. 40
  40. 180

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