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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 32 · 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.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  2. 2.2 : 14 = 12 : ?
  3. 3.8 : 7 = 16 : ?
  4. 4.The ratio of boys to girls in a class is 3 : 5. There are 9 boys. How many girls are there?
  5. 5.Divide ₹371 between Sneha and Ishaan in the ratio 3 : 4. How much does Ishaan get (in ₹)?
  6. 6.Divide ₹224 between Ishaan and Isha in the ratio 5 : 3. How much does Ishaan get (in ₹)?
  7. 7.5 : 12 = 10 : ?
  8. 8.7 : 12 = 21 : ?
  9. 9.The ratio of boys to girls in a class is 5 : 4. There are 25 boys. How many girls are there?
  10. 10.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  11. 11.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  13. 13.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  14. 14.8 : 14 = 24 : ?
  15. 15.Divide ₹36 between Nisha and Diya in the ratio 5 : 1. How much does Nisha get (in ₹)?
  16. 16.8 : 4 = 40 : ?
  17. 17.Divide ₹297 between Zoya and Rahul in the ratio 6 : 5. How much does Zoya get (in ₹)?
  18. 18.Divide ₹192 between Tara and Vivaan in the ratio 9 : 7. How much does Vivaan get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  20. 20.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  21. 21.Divide ₹240 between Ananya and Rahul in the ratio 5 : 7. How much does Ananya get (in ₹)?
  22. 22.Divide ₹91 between Isha and Kavya in the ratio 3 : 4. How much does Kavya get (in ₹)?
  23. 23.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  24. 24.12 : 7 = 60 : ?
  25. 25.11 : 5 = 77 : ?
  26. 26.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  27. 27.Divide ₹50 between Aditya and Isha in the ratio 4 : 1. How much does Aditya get (in ₹)?
  28. 28.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  29. 29.Divide ₹112 between Meera and Ananya in the ratio 4 : 3. How much does Meera get (in ₹)?
  30. 30.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  31. 31.Divide ₹304 between Tara and Rahul in the ratio 9 : 7. How much does Tara get (in ₹)?
  32. 32.Divide ₹371 between Sneha and Aarav in the ratio 2 : 5. How much does Sneha get (in ₹)?
  33. 33.Divide ₹288 between Diya and Sneha in the ratio 1 : 7. How much does Diya get (in ₹)?
  34. 34.Divide ₹700 between Dev and Tara in the ratio 9 : 5. How much does Tara get (in ₹)?
  35. 35.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  36. 36.Divide ₹297 between Isha and Ishaan in the ratio 8 : 1. How much does Ishaan get (in ₹)?
  37. 37.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  38. 38.Divide ₹108 between Saanvi and Arjun in the ratio 5 : 7. How much does Saanvi get (in ₹)?
  39. 39.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  40. 40.The ratio of boys to girls in a class is 4 : 3. There are 8 boys. How many girls are there?

Answer key

  1. 24
  2. 84
  3. 14
  4. 15
  5. 212
  6. 140
  7. 24
  8. 36
  9. 20
  10. 18
  11. 24
  12. 8
  13. 48
  14. 42
  15. 30
  16. 20
  17. 162
  18. 84
  19. 9
  20. 81
  21. 100
  22. 52
  23. 20
  24. 35
  25. 35
  26. 100
  27. 40
  28. 96
  29. 64
  30. 150
  31. 171
  32. 106
  33. 36
  34. 250
  35. 16
  36. 33
  37. 8
  38. 45
  39. 50
  40. 6

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