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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 56 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹198 between Nisha and Pooja in the ratio 8 : 1. How much does Pooja get (in ₹)?
  2. 2.Divide ₹154 between Farhan and Karan in the ratio 9 : 5. How much does Farhan get (in ₹)?
  3. 3.Divide ₹387 between Pooja and Dev in the ratio 1 : 8. How much does Dev get (in ₹)?
  4. 4.3 : 11 = 6 : ?
  5. 5.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  6. 6.Divide ₹65 between Farhan and Aarav in the ratio 3 : 2. How much does Farhan get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  8. 8.Divide ₹171 between Diya and Rohan in the ratio 1 : 2. How much does Rohan get (in ₹)?
  9. 9.Divide ₹90 between Ishaan and Rohan in the ratio 2 : 1. How much does Rohan get (in ₹)?
  10. 10.Divide ₹69 between Vivaan and Nisha in the ratio 1 : 2. How much does Nisha get (in ₹)?
  11. 11.Divide ₹256 between Nisha and Karan in the ratio 1 : 7. How much does Nisha get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  14. 14.8 : 15 = 16 : ?
  15. 15.Divide ₹616 between Rahul and Zoya in the ratio 5 : 6. How much does Zoya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  17. 17.Divide ₹56 between Farhan and Zoya in the ratio 1 : 3. How much does Zoya get (in ₹)?
  18. 18.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  19. 19.10 : 14 = 90 : ?
  20. 20.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  21. 21.Divide ₹198 between Tara and Sneha in the ratio 5 : 6. How much does Tara get (in ₹)?
  22. 22.10 : 2 = 20 : ?
  23. 23.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  24. 24.Divide ₹95 between Nisha and Rahul in the ratio 3 : 2. How much does Rahul get (in ₹)?
  25. 25.Divide ₹225 between Farhan and Zoya in the ratio 2 : 7. How much does Zoya get (in ₹)?
  26. 26.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  27. 27.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  28. 28.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  29. 29.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  30. 30.6 : 8 = 12 : ?
  31. 31.Divide ₹460 between Kavya and Zoya in the ratio 7 : 3. How much does Kavya get (in ₹)?
  32. 32.9 : 3 = 18 : ?
  33. 33.Divide ₹250 between Meera and Farhan in the ratio 7 : 3. How much does Meera get (in ₹)?
  34. 34.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  35. 35.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  36. 36.Divide ₹110 between Priya and Ishaan in the ratio 3 : 8. How much does Priya get (in ₹)?
  37. 37.Divide ₹561 between Meera and Isha in the ratio 5 : 6. How much does Isha get (in ₹)?
  38. 38.8 : 15 = 48 : ?
  39. 39.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  40. 40.Divide ₹345 between Arjun and Vivaan in the ratio 8 : 7. How much does Vivaan get (in ₹)?

Answer key

  1. 22
  2. 99
  3. 344
  4. 22
  5. 50
  6. 39
  7. 8
  8. 114
  9. 30
  10. 46
  11. 32
  12. 8
  13. 7
  14. 30
  15. 336
  16. 8
  17. 42
  18. 81
  19. 126
  20. 27
  21. 90
  22. 4
  23. 18
  24. 38
  25. 175
  26. 32
  27. 36
  28. 30
  29. 100
  30. 16
  31. 322
  32. 6
  33. 175
  34. 75
  35. 225
  36. 30
  37. 306
  38. 90
  39. 28
  40. 161

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