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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 590 · 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.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  5. 5.Divide ₹380 between Saanvi and Arjun in the ratio 1 : 9. How much does Saanvi get (in ₹)?
  6. 6.Divide ₹325 between Diya and Aarav in the ratio 7 : 6. How much does Aarav get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  8. 8.Divide ₹357 between Diya and Zoya in the ratio 8 : 9. How much does Diya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  10. 10.Divide ₹378 between Kavya and Nisha in the ratio 5 : 4. How much does Nisha get (in ₹)?
  11. 11.Divide ₹66 between Pooja and Zoya in the ratio 8 : 3. How much does Zoya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  13. 13.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  14. 14.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  15. 15.Divide ₹175 between Farhan and Rohan in the ratio 5 : 2. How much does Rohan get (in ₹)?
  16. 16.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  17. 17.Divide ₹126 between Rohan and Rahul in the ratio 1 : 6. How much does Rohan get (in ₹)?
  18. 18.Divide ₹75 between Sneha and Kavya in the ratio 1 : 2. How much does Kavya get (in ₹)?
  19. 19.6 : 13 = 18 : ?
  20. 20.12 : 7 = 108 : ?
  21. 21.Divide ₹308 between Rohan and Ishaan in the ratio 3 : 4. How much does Rohan get (in ₹)?
  22. 22.Divide ₹300 between Diya and Pooja in the ratio 3 : 2. How much does Pooja get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 8 : 9. There are 56 boys. How many girls are there?
  25. 25.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  26. 26.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  27. 27.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  28. 28.Divide ₹132 between Tara and Kabir in the ratio 9 : 2. How much does Tara get (in ₹)?
  29. 29.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  30. 30.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  31. 31.Divide ₹384 between Isha and Kabir in the ratio 5 : 3. How much does Isha get (in ₹)?
  32. 32.Divide ₹390 between Rohan and Manav in the ratio 8 : 5. How much does Rohan get (in ₹)?
  33. 33.4 : 2 = 16 : ?
  34. 34.Divide ₹420 between Isha and Rohan in the ratio 2 : 5. How much does Rohan get (in ₹)?
  35. 35.10 : 3 = 60 : ?
  36. 36.10 : 11 = 80 : ?
  37. 37.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  39. 39.2 : 11 = 14 : ?
  40. 40.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).

Answer key

  1. 18
  2. 9
  3. 30
  4. 20
  5. 38
  6. 150
  7. 18
  8. 168
  9. 8
  10. 168
  11. 18
  12. 24
  13. 63
  14. 21
  15. 50
  16. 36
  17. 18
  18. 50
  19. 39
  20. 63
  21. 132
  22. 120
  23. 27
  24. 63
  25. 48
  26. 6
  27. 28
  28. 108
  29. 50
  30. 12
  31. 240
  32. 240
  33. 8
  34. 300
  35. 18
  36. 88
  37. 36
  38. 2
  39. 77
  40. 125

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