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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 552 · 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.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  2. 2.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  3. 3.Divide ₹216 between Kabir and Zoya in the ratio 1 : 7. How much does Kabir get (in ₹)?
  4. 4.Divide ₹481 between Aarav and Pooja in the ratio 5 : 8. How much does Aarav get (in ₹)?
  5. 5.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  6. 6.10 : 2 = 70 : ?
  7. 7.7 : 11 = 56 : ?
  8. 8.Divide ₹60 between Dev and Sneha in the ratio 1 : 5. How much does Dev get (in ₹)?
  9. 9.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  10. 10.3 : 2 = 9 : ?
  11. 11.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  12. 12.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  13. 13.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  14. 14.Divide ₹182 between Diya and Rohan in the ratio 9 : 5. How much does Diya get (in ₹)?
  15. 15.Divide ₹250 between Zoya and Ishaan in the ratio 2 : 3. How much does Zoya get (in ₹)?
  16. 16.2 : 5 = 6 : ?
  17. 17.Divide ₹344 between Rahul and Ananya in the ratio 1 : 7. How much does Ananya get (in ₹)?
  18. 18.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  19. 19.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  23. 23.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  24. 24.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  25. 25.Divide ₹280 between Arjun and Vivaan in the ratio 7 : 3. How much does Arjun get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  29. 29.Divide ₹120 between Diya and Rohan in the ratio 3 : 7. How much does Rohan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  31. 31.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  32. 32.Divide ₹715 between Ananya and Vivaan in the ratio 5 : 8. How much does Ananya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 1 : 8. There are 9 boys. How many girls are there?
  35. 35.Divide ₹748 between Zoya and Aarav in the ratio 8 : 9. How much does Aarav get (in ₹)?
  36. 36.Divide ₹352 between Tara and Aditya in the ratio 8 : 3. How much does Tara get (in ₹)?
  37. 37.11 : 9 = 66 : ?
  38. 38.Divide ₹70 between Vivaan and Dev in the ratio 5 : 2. How much does Dev get (in ₹)?
  39. 39.Divide ₹312 between Ananya and Vivaan in the ratio 1 : 5. How much does Vivaan get (in ₹)?
  40. 40.Divide ₹517 between Diya and Aarav in the ratio 7 : 4. How much does Diya get (in ₹)?

Answer key

  1. 32
  2. 8
  3. 27
  4. 185
  5. 36
  6. 14
  7. 88
  8. 10
  9. 50
  10. 6
  11. 72
  12. 63
  13. 150
  14. 117
  15. 100
  16. 15
  17. 301
  18. 54
  19. 56
  20. 36
  21. 36
  22. 6
  23. 32
  24. 48
  25. 196
  26. 24
  27. 30
  28. 12
  29. 84
  30. 30
  31. 27
  32. 275
  33. 8
  34. 72
  35. 396
  36. 256
  37. 54
  38. 20
  39. 260
  40. 329

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