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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 525 · 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).

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  1. 1.2 : 13 = 14 : ?
  2. 2.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  3. 3.4 : 3 = 12 : ?
  4. 4.7 : 4 = 14 : ?
  5. 5.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  6. 6.Divide ₹136 between Priya and Meera in the ratio 3 : 1. How much does Priya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  8. 8.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  9. 9.The ratio of boys to girls in a class is 6 : 7. There are 30 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  13. 13.2 : 5 = 12 : ?
  14. 14.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  15. 15.Divide ₹376 between Pooja and Priya in the ratio 1 : 7. How much does Pooja get (in ₹)?
  16. 16.Divide ₹429 between Dev and Vivaan in the ratio 5 : 6. How much does Vivaan get (in ₹)?
  17. 17.3 : 4 = 18 : ?
  18. 18.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  19. 19.3 : 9 = 27 : ?
  20. 20.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  21. 21.Divide ₹248 between Aarav and Tara in the ratio 5 : 3. How much does Tara get (in ₹)?
  22. 22.Divide ₹350 between Ananya and Vivaan in the ratio 7 : 3. How much does Vivaan get (in ₹)?
  23. 23.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  24. 24.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  25. 25.7 : 6 = 63 : ?
  26. 26.Divide ₹850 between Rahul and Kabir in the ratio 8 : 9. How much does Rahul get (in ₹)?
  27. 27.Divide ₹306 between Diya and Rohan in the ratio 9 : 8. How much does Rohan get (in ₹)?
  28. 28.12 : 14 = 72 : ?
  29. 29.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  30. 30.2 : 3 = 8 : ?
  31. 31.Divide ₹555 between Ishaan and Meera in the ratio 7 : 8. How much does Ishaan get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  33. 33.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  34. 34.Divide ₹252 between Aarav and Saanvi in the ratio 1 : 6. How much does Aarav get (in ₹)?
  35. 35.Divide ₹220 between Kabir and Isha in the ratio 1 : 9. How much does Kabir get (in ₹)?
  36. 36.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  37. 37.Divide ₹56 between Aditya and Manav in the ratio 3 : 4. How much does Aditya get (in ₹)?
  38. 38.4 : 3 = 32 : ?
  39. 39.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  40. 40.Divide ₹363 between Kabir and Tara in the ratio 2 : 9. How much does Tara get (in ₹)?

Answer key

  1. 91
  2. 20
  3. 9
  4. 8
  5. 24
  6. 102
  7. 21
  8. 12
  9. 35
  10. 10
  11. 8
  12. 10
  13. 30
  14. 12
  15. 47
  16. 234
  17. 24
  18. 10
  19. 81
  20. 81
  21. 93
  22. 105
  23. 36
  24. 48
  25. 54
  26. 400
  27. 144
  28. 84
  29. 54
  30. 12
  31. 259
  32. 7
  33. 125
  34. 36
  35. 22
  36. 64
  37. 24
  38. 24
  39. 3
  40. 297

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