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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 139 · 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. 1.2 : 4 = 8 : ?
  2. 2.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  3. 3.Divide ₹312 between Tara and Aditya in the ratio 1 : 7. How much does Aditya get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  5. 5.Divide ₹165 between Meera and Rahul in the ratio 1 : 2. How much does Meera get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
  7. 7.Divide ₹50 between Sneha and Aarav in the ratio 2 : 3. How much does Aarav get (in ₹)?
  8. 8.2 : 14 = 12 : ?
  9. 9.Divide ₹248 between Aarav and Priya in the ratio 5 : 3. How much does Aarav get (in ₹)?
  10. 10.Divide ₹495 between Tara and Dev in the ratio 1 : 8. How much does Tara get (in ₹)?
  11. 11.Divide ₹260 between Isha and Meera in the ratio 7 : 3. How much does Isha get (in ₹)?
  12. 12.Divide ₹324 between Farhan and Arjun in the ratio 7 : 5. How much does Farhan get (in ₹)?
  13. 13.Divide ₹590 between Kabir and Arjun in the ratio 7 : 3. How much does Arjun get (in ₹)?
  14. 14.Divide ₹60 between Farhan and Manav in the ratio 1 : 5. How much does Farhan get (in ₹)?
  15. 15.Divide ₹615 between Sneha and Zoya in the ratio 7 : 8. How much does Sneha get (in ₹)?
  16. 16.12 : 3 = 48 : ?
  17. 17.Divide ₹455 between Vivaan and Meera in the ratio 4 : 9. How much does Meera get (in ₹)?
  18. 18.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  19. 19.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  20. 20.The ratio of boys to girls in a class is 4 : 9. There are 24 boys. How many girls are there?
  21. 21.9 : 10 = 18 : ?
  22. 22.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  23. 23.12 : 2 = 72 : ?
  24. 24.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  25. 25.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  26. 26.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  27. 27.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  28. 28.Divide ₹363 between Ananya and Aditya in the ratio 7 : 4. How much does Aditya get (in ₹)?
  29. 29.7 : 2 = 35 : ?
  30. 30.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  31. 31.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  32. 32.Divide ₹245 between Dev and Zoya in the ratio 3 : 4. How much does Dev get (in ₹)?
  33. 33.Divide ₹364 between Meera and Pooja in the ratio 1 : 6. How much does Pooja get (in ₹)?
  34. 34.3 : 4 = 12 : ?
  35. 35.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  36. 36.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  37. 37.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  38. 38.10 : 8 = 60 : ?
  39. 39.10 : 3 = 60 : ?
  40. 40.Divide ₹208 between Priya and Rahul in the ratio 1 : 3. How much does Rahul get (in ₹)?

Answer key

  1. 16
  2. 64
  3. 273
  4. 36
  5. 55
  6. 36
  7. 30
  8. 84
  9. 155
  10. 55
  11. 182
  12. 189
  13. 177
  14. 10
  15. 287
  16. 12
  17. 315
  18. 112
  19. 72
  20. 54
  21. 20
  22. 24
  23. 12
  24. 21
  25. 50
  26. 60
  27. 45
  28. 132
  29. 10
  30. 200
  31. 20
  32. 105
  33. 312
  34. 16
  35. 225
  36. 15
  37. 75
  38. 48
  39. 18
  40. 156

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