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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 232 · 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 ₹486 between Ananya and Aarav in the ratio 5 : 4. How much does Aarav get (in ₹)?
  2. 2.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  3. 3.Divide ₹112 between Sneha and Arjun in the ratio 2 : 5. How much does Arjun get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  6. 6.11 : 2 = 33 : ?
  7. 7.11 : 3 = 99 : ?
  8. 8.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  9. 9.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  10. 10.7 : 3 = 63 : ?
  11. 11.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  12. 12.Divide ₹55 between Nisha and Rohan in the ratio 8 : 3. How much does Nisha get (in ₹)?
  13. 13.2 : 4 = 8 : ?
  14. 14.2 : 11 = 16 : ?
  15. 15.2 : 5 = 4 : ?
  16. 16.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  17. 17.Divide ₹81 between Kavya and Rahul in the ratio 7 : 2. How much does Kavya get (in ₹)?
  18. 18.Divide ₹377 between Kabir and Rohan in the ratio 9 : 4. How much does Kabir get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  21. 21.Divide ₹192 between Karan and Saanvi in the ratio 9 : 7. How much does Karan get (in ₹)?
  22. 22.Divide ₹156 between Diya and Nisha in the ratio 7 : 6. How much does Diya get (in ₹)?
  23. 23.2 : 11 = 14 : ?
  24. 24.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  25. 25.Divide ₹300 between Saanvi and Priya in the ratio 3 : 2. How much does Saanvi get (in ₹)?
  26. 26.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  27. 27.Divide ₹595 between Nisha and Priya in the ratio 8 : 9. How much does Nisha get (in ₹)?
  28. 28.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  29. 29.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  30. 30.Divide ₹885 between Farhan and Priya in the ratio 7 : 8. How much does Farhan get (in ₹)?
  31. 31.6 : 9 = 18 : ?
  32. 32.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  33. 33.Divide ₹198 between Rahul and Isha in the ratio 8 : 1. How much does Rahul get (in ₹)?
  34. 34.Divide ₹333 between Rahul and Meera in the ratio 7 : 2. How much does Meera get (in ₹)?
  35. 35.3 : 6 = 6 : ?
  36. 36.8 : 11 = 40 : ?
  37. 37.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  38. 38.Divide ₹414 between Vivaan and Aditya in the ratio 7 : 2. How much does Aditya get (in ₹)?
  39. 39.Divide ₹195 between Priya and Zoya in the ratio 7 : 6. How much does Priya get (in ₹)?
  40. 40.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).

Answer key

  1. 216
  2. 32
  3. 80
  4. 50
  5. 56
  6. 6
  7. 27
  8. 125
  9. 6
  10. 27
  11. 27
  12. 40
  13. 16
  14. 88
  15. 10
  16. 40
  17. 63
  18. 261
  19. 40
  20. 4
  21. 108
  22. 84
  23. 77
  24. 21
  25. 180
  26. 36
  27. 280
  28. 16
  29. 63
  30. 413
  31. 27
  32. 50
  33. 176
  34. 74
  35. 12
  36. 55
  37. 50
  38. 92
  39. 105
  40. 12

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