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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 350 · 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 ₹450 between Diya and Kabir in the ratio 2 : 7. How much does Diya get (in ₹)?
  2. 2.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  3. 3.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  5. 5.12 : 10 = 108 : ?
  6. 6.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  7. 7.6 : 3 = 36 : ?
  8. 8.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  9. 9.Divide ₹240 between Ishaan and Dev in the ratio 3 : 2. How much does Dev get (in ₹)?
  10. 10.Divide ₹171 between Tara and Manav in the ratio 2 : 1. How much does Manav get (in ₹)?
  11. 11.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  12. 12.9 : 14 = 45 : ?
  13. 13.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  14. 14.Divide ₹336 between Rahul and Ananya in the ratio 3 : 5. How much does Ananya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  16. 16.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  17. 17.9 : 3 = 18 : ?
  18. 18.3 : 5 = 9 : ?
  19. 19.Divide ₹387 between Karan and Isha in the ratio 5 : 4. How much does Karan get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  21. 21.Divide ₹510 between Farhan and Kavya in the ratio 7 : 3. How much does Kavya get (in ₹)?
  22. 22.Divide ₹266 between Kavya and Vivaan in the ratio 4 : 3. How much does Vivaan get (in ₹)?
  23. 23.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  24. 24.9 : 8 = 45 : ?
  25. 25.Divide ₹198 between Karan and Arjun in the ratio 7 : 4. How much does Arjun get (in ₹)?
  26. 26.9 : 6 = 54 : ?
  27. 27.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  28. 28.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  29. 29.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  30. 30.4 : 14 = 8 : ?
  31. 31.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  32. 32.Divide ₹600 between Farhan and Aditya in the ratio 7 : 3. How much does Farhan get (in ₹)?
  33. 33.8 : 2 = 56 : ?
  34. 34.Divide ₹378 between Ananya and Manav in the ratio 1 : 6. How much does Manav get (in ₹)?
  35. 35.5 : 10 = 40 : ?
  36. 36.Divide ₹280 between Ishaan and Priya in the ratio 3 : 2. How much does Priya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  38. 38.8 : 15 = 56 : ?
  39. 39.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  40. 40.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).

Answer key

  1. 100
  2. 32
  3. 40
  4. 81
  5. 90
  6. 96
  7. 18
  8. 81
  9. 96
  10. 57
  11. 144
  12. 70
  13. 12
  14. 210
  15. 24
  16. 128
  17. 6
  18. 15
  19. 215
  20. 10
  21. 153
  22. 114
  23. 24
  24. 40
  25. 72
  26. 36
  27. 28
  28. 175
  29. 50
  30. 28
  31. 16
  32. 420
  33. 14
  34. 324
  35. 80
  36. 112
  37. 21
  38. 105
  39. 112
  40. 54

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