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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 21 · 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 ₹39 between Zoya and Manav in the ratio 1 : 2. How much does Manav get (in ₹)?
  2. 2.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  3. 3.12 : 9 = 36 : ?
  4. 4.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  5. 5.Divide ₹308 between Meera and Saanvi in the ratio 5 : 9. How much does Meera get (in ₹)?
  6. 6.7 : 13 = 63 : ?
  7. 7.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  8. 8.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  9. 9.Divide ₹266 between Diya and Dev in the ratio 5 : 2. How much does Diya get (in ₹)?
  10. 10.Divide ₹286 between Tara and Ananya in the ratio 9 : 2. How much does Tara get (in ₹)?
  11. 11.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  12. 12.Divide ₹517 between Aditya and Kabir in the ratio 4 : 7. How much does Aditya get (in ₹)?
  13. 13.11 : 13 = 44 : ?
  14. 14.8 : 4 = 40 : ?
  15. 15.4 : 5 = 24 : ?
  16. 16.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  17. 17.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  18. 18.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  19. 19.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  20. 20.12 : 2 = 48 : ?
  21. 21.Divide ₹495 between Rahul and Ishaan in the ratio 2 : 7. How much does Ishaan get (in ₹)?
  22. 22.Divide ₹152 between Aditya and Ishaan in the ratio 1 : 3. How much does Ishaan get (in ₹)?
  23. 23.Divide ₹448 between Zoya and Isha in the ratio 5 : 3. How much does Zoya get (in ₹)?
  24. 24.11 : 9 = 22 : ?
  25. 25.5 : 15 = 10 : ?
  26. 26.3 : 6 = 27 : ?
  27. 27.Divide ₹600 between Ananya and Saanvi in the ratio 7 : 3. How much does Ananya get (in ₹)?
  28. 28.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  29. 29.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  30. 30.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  31. 31.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  32. 32.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  33. 33.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  34. 34.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  35. 35.6 : 14 = 42 : ?
  36. 36.2 : 5 = 12 : ?
  37. 37.Divide ₹63 between Sneha and Arjun in the ratio 6 : 1. How much does Sneha get (in ₹)?
  38. 38.Divide ₹330 between Priya and Isha in the ratio 7 : 4. How much does Priya get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  40. 40.Divide ₹212 between Priya and Dev in the ratio 1 : 3. How much does Priya get (in ₹)?

Answer key

  1. 26
  2. 144
  3. 27
  4. 3
  5. 110
  6. 117
  7. 150
  8. 20
  9. 190
  10. 234
  11. 225
  12. 188
  13. 52
  14. 20
  15. 30
  16. 20
  17. 50
  18. 80
  19. 64
  20. 8
  21. 385
  22. 114
  23. 280
  24. 18
  25. 30
  26. 54
  27. 420
  28. 112
  29. 75
  30. 16
  31. 63
  32. 32
  33. 175
  34. 14
  35. 98
  36. 30
  37. 54
  38. 210
  39. 10
  40. 53

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