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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 680 · 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. 1.10 : 13 = 50 : ?
  2. 2.Divide ₹385 between Zoya and Farhan in the ratio 6 : 1. How much does Zoya get (in ₹)?
  3. 3.Divide ₹225 between Ishaan and Diya in the ratio 3 : 2. How much does Diya get (in ₹)?
  4. 4.Divide ₹120 between Kavya and Aarav in the ratio 4 : 1. How much does Aarav get (in ₹)?
  5. 5.Divide ₹66 between Dev and Karan in the ratio 1 : 5. How much does Karan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  7. 7.Divide ₹384 between Sneha and Vivaan in the ratio 7 : 9. How much does Vivaan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  11. 11.Divide ₹154 between Kabir and Manav in the ratio 9 : 2. How much does Manav get (in ₹)?
  12. 12.Divide ₹192 between Isha and Karan in the ratio 9 : 7. How much does Isha get (in ₹)?
  13. 13.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  14. 14.Divide ₹126 between Pooja and Tara in the ratio 5 : 2. How much does Tara get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  16. 16.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  17. 17.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  18. 18.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  19. 19.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  20. 20.Divide ₹198 between Diya and Farhan in the ratio 1 : 8. How much does Diya get (in ₹)?
  21. 21.8 : 5 = 56 : ?
  22. 22.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  23. 23.8 : 13 = 56 : ?
  24. 24.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  25. 25.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  26. 26.Divide ₹546 between Kavya and Diya in the ratio 6 : 7. How much does Diya get (in ₹)?
  27. 27.Divide ₹63 between Nisha and Pooja in the ratio 2 : 1. How much does Nisha get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  29. 29.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  30. 30.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  31. 31.Divide ₹230 between Rohan and Meera in the ratio 3 : 2. How much does Meera get (in ₹)?
  32. 32.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  33. 33.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  34. 34.Divide ₹88 between Rohan and Isha in the ratio 5 : 3. How much does Isha get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  36. 36.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  37. 37.Divide ₹200 between Farhan and Tara in the ratio 3 : 2. How much does Farhan get (in ₹)?
  38. 38.10 : 3 = 30 : ?
  39. 39.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  40. 40.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?

Answer key

  1. 65
  2. 330
  3. 90
  4. 24
  5. 55
  6. 9
  7. 216
  8. 24
  9. 54
  10. 40
  11. 28
  12. 108
  13. 112
  14. 36
  15. 20
  16. 81
  17. 24
  18. 80
  19. 96
  20. 22
  21. 35
  22. 72
  23. 91
  24. 100
  25. 20
  26. 294
  27. 42
  28. 12
  29. 32
  30. 36
  31. 92
  32. 75
  33. 16
  34. 33
  35. 45
  36. 175
  37. 120
  38. 9
  39. 16
  40. 21

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