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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 798 · 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 ₹616 between Arjun and Kabir in the ratio 9 : 2. How much does Kabir get (in ₹)?
  2. 2.7 : 8 = 42 : ?
  3. 3.Divide ₹217 between Aarav and Karan in the ratio 4 : 3. How much does Aarav get (in ₹)?
  4. 4.4 : 2 = 24 : ?
  5. 5.5 : 12 = 15 : ?
  6. 6.Divide ₹420 between Tara and Dev in the ratio 7 : 5. How much does Dev get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  9. 9.2 : 3 = 16 : ?
  10. 10.Divide ₹708 between Karan and Ishaan in the ratio 7 : 5. How much does Karan get (in ₹)?
  11. 11.Divide ₹177 between Rohan and Diya in the ratio 2 : 1. How much does Rohan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  13. 13.11 : 13 = 99 : ?
  14. 14.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  15. 15.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
  16. 16.Divide ₹63 between Karan and Kabir in the ratio 4 : 3. How much does Kabir get (in ₹)?
  17. 17.Divide ₹728 between Rohan and Dev in the ratio 6 : 7. How much does Dev get (in ₹)?
  18. 18.Divide ₹110 between Ananya and Vivaan in the ratio 3 : 8. How much does Vivaan get (in ₹)?
  19. 19.8 : 12 = 72 : ?
  20. 20.Divide ₹20 between Sneha and Pooja in the ratio 3 : 1. How much does Sneha get (in ₹)?
  21. 21.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  22. 22.3 : 15 = 24 : ?
  23. 23.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  24. 24.Divide ₹363 between Manav and Kabir in the ratio 8 : 3. How much does Kabir get (in ₹)?
  25. 25.5 : 10 = 20 : ?
  26. 26.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  27. 27.Divide ₹80 between Sneha and Isha in the ratio 7 : 9. How much does Isha get (in ₹)?
  28. 28.Divide ₹210 between Farhan and Saanvi in the ratio 3 : 4. How much does Saanvi get (in ₹)?
  29. 29.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  30. 30.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  31. 31.Divide ₹155 between Meera and Tara in the ratio 1 : 4. How much does Meera get (in ₹)?
  32. 32.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  33. 33.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  34. 34.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  35. 35.Divide ₹100 between Aarav and Dev in the ratio 4 : 1. How much does Dev get (in ₹)?
  36. 36.Divide ₹136 between Rahul and Priya in the ratio 8 : 9. How much does Rahul get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  38. 38.Divide ₹153 between Kabir and Saanvi in the ratio 2 : 7. How much does Saanvi get (in ₹)?
  39. 39.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  40. 40.The ratio of boys to girls in a class is 4 : 9. There are 28 boys. How many girls are there?

Answer key

  1. 112
  2. 48
  3. 124
  4. 12
  5. 36
  6. 175
  7. 14
  8. 25
  9. 24
  10. 413
  11. 118
  12. 35
  13. 117
  14. 112
  15. 40
  16. 27
  17. 392
  18. 80
  19. 108
  20. 15
  21. 150
  22. 120
  23. 28
  24. 99
  25. 40
  26. 42
  27. 45
  28. 120
  29. 45
  30. 175
  31. 31
  32. 36
  33. 10
  34. 8
  35. 20
  36. 64
  37. 35
  38. 119
  39. 18
  40. 63

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