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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 960 · 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 ₹728 between Zoya and Diya in the ratio 9 : 5. How much does Zoya get (in ₹)?
  2. 2.Divide ₹225 between Arjun and Karan in the ratio 4 : 5. How much does Karan get (in ₹)?
  3. 3.Divide ₹126 between Priya and Saanvi in the ratio 6 : 1. How much does Priya get (in ₹)?
  4. 4.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  5. 5.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  6. 6.8 : 10 = 16 : ?
  7. 7.5 : 2 = 15 : ?
  8. 8.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  9. 9.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  10. 10.Divide ₹517 between Kabir and Ishaan in the ratio 5 : 6. How much does Kabir get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  12. 12.Divide ₹182 between Zoya and Aditya in the ratio 8 : 5. How much does Zoya get (in ₹)?
  13. 13.Divide ₹180 between Ananya and Tara in the ratio 7 : 2. How much does Tara get (in ₹)?
  14. 14.5 : 15 = 20 : ?
  15. 15.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  19. 19.Divide ₹110 between Sneha and Diya in the ratio 2 : 9. How much does Diya get (in ₹)?
  20. 20.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  21. 21.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  22. 22.5 : 2 = 25 : ?
  23. 23.6 : 14 = 48 : ?
  24. 24.10 : 7 = 40 : ?
  25. 25.Divide ₹333 between Ananya and Kavya in the ratio 7 : 2. How much does Ananya get (in ₹)?
  26. 26.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  27. 27.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  28. 28.5 : 8 = 10 : ?
  29. 29.Divide ₹132 between Aditya and Arjun in the ratio 8 : 3. How much does Arjun get (in ₹)?
  30. 30.Divide ₹136 between Nisha and Kabir in the ratio 7 : 1. How much does Kabir get (in ₹)?
  31. 31.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  32. 32.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  33. 33.The ratio of boys to girls in a class is 4 : 3. There are 20 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  35. 35.Divide ₹129 between Tara and Aarav in the ratio 1 : 2. How much does Aarav get (in ₹)?
  36. 36.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  37. 37.6 : 4 = 24 : ?
  38. 38.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
  39. 39.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  40. 40.6 : 4 = 12 : ?

Answer key

  1. 468
  2. 125
  3. 108
  4. 32
  5. 144
  6. 20
  7. 6
  8. 28
  9. 8
  10. 235
  11. 12
  12. 112
  13. 40
  14. 60
  15. 16
  16. 10
  17. 35
  18. 12
  19. 90
  20. 20
  21. 14
  22. 10
  23. 112
  24. 28
  25. 259
  26. 45
  27. 16
  28. 16
  29. 36
  30. 17
  31. 80
  32. 12
  33. 15
  34. 8
  35. 86
  36. 63
  37. 16
  38. 80
  39. 75
  40. 8

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