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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 109 · 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. 1.8 : 11 = 24 : ?
  2. 2.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  3. 3.11 : 4 = 55 : ?
  4. 4.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  5. 5.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  6. 6.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  7. 7.4 : 9 = 16 : ?
  8. 8.7 : 6 = 35 : ?
  9. 9.10 : 2 = 70 : ?
  10. 10.11 : 6 = 22 : ?
  11. 11.7 : 2 = 14 : ?
  12. 12.Divide ₹290 between Arjun and Farhan in the ratio 1 : 4. How much does Arjun get (in ₹)?
  13. 13.11 : 14 = 66 : ?
  14. 14.10 : 15 = 70 : ?
  15. 15.Divide ₹176 between Ananya and Aarav in the ratio 1 : 3. How much does Aarav get (in ₹)?
  16. 16.2 : 5 = 6 : ?
  17. 17.Divide ₹165 between Diya and Aditya in the ratio 7 : 8. How much does Aditya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 7 : 6. There are 28 boys. How many girls are there?
  19. 19.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  20. 20.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  21. 21.Divide ₹420 between Farhan and Arjun in the ratio 9 : 1. How much does Farhan get (in ₹)?
  22. 22.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  23. 23.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  24. 24.11 : 5 = 88 : ?
  25. 25.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  26. 26.5 : 2 = 10 : ?
  27. 27.4 : 15 = 12 : ?
  28. 28.Divide ₹126 between Kavya and Sneha in the ratio 1 : 5. How much does Kavya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  30. 30.6 : 12 = 18 : ?
  31. 31.Divide ₹176 between Isha and Meera in the ratio 4 : 7. How much does Isha get (in ₹)?
  32. 32.Divide ₹580 between Meera and Manav in the ratio 7 : 3. How much does Manav get (in ₹)?
  33. 33.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  34. 34.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  35. 35.Divide ₹48 between Saanvi and Ishaan in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  36. 36.Divide ₹288 between Aarav and Karan in the ratio 5 : 7. How much does Karan get (in ₹)?
  37. 37.Divide ₹240 between Rahul and Kavya in the ratio 1 : 3. How much does Kavya get (in ₹)?
  38. 38.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  39. 39.12 : 10 = 108 : ?
  40. 40.Divide ₹112 between Ananya and Vivaan in the ratio 5 : 9. How much does Ananya get (in ₹)?

Answer key

  1. 33
  2. 48
  3. 20
  4. 32
  5. 24
  6. 63
  7. 36
  8. 30
  9. 14
  10. 12
  11. 4
  12. 58
  13. 84
  14. 105
  15. 132
  16. 15
  17. 88
  18. 24
  19. 200
  20. 14
  21. 378
  22. 36
  23. 32
  24. 40
  25. 45
  26. 4
  27. 45
  28. 21
  29. 18
  30. 36
  31. 64
  32. 174
  33. 54
  34. 16
  35. 6
  36. 168
  37. 180
  38. 100
  39. 90
  40. 40

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