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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 606 · 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.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  2. 2.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  3. 3.Divide ₹130 between Tara and Aarav in the ratio 2 : 3. How much does Aarav get (in ₹)?
  4. 4.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  5. 5.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  6. 6.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  7. 7.Divide ₹195 between Meera and Vivaan in the ratio 3 : 2. How much does Vivaan get (in ₹)?
  8. 8.Divide ₹290 between Aarav and Priya in the ratio 3 : 2. How much does Aarav get (in ₹)?
  9. 9.5 : 11 = 25 : ?
  10. 10.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  11. 11.Divide ₹357 between Aditya and Ananya in the ratio 1 : 6. How much does Ananya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
  13. 13.Divide ₹848 between Saanvi and Farhan in the ratio 7 : 9. How much does Saanvi get (in ₹)?
  14. 14.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  15. 15.Divide ₹135 between Kabir and Pooja in the ratio 8 : 7. How much does Pooja get (in ₹)?
  16. 16.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  17. 17.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
  18. 18.6 : 12 = 24 : ?
  19. 19.Divide ₹224 between Rahul and Rohan in the ratio 3 : 5. How much does Rohan get (in ₹)?
  20. 20.2 : 5 = 12 : ?
  21. 21.Divide ₹42 between Aarav and Ishaan in the ratio 1 : 6. How much does Aarav get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  23. 23.Divide ₹153 between Ananya and Priya in the ratio 7 : 2. How much does Priya get (in ₹)?
  24. 24.Divide ₹121 between Isha and Zoya in the ratio 5 : 6. How much does Zoya get (in ₹)?
  25. 25.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  26. 26.Divide ₹90 between Tara and Zoya in the ratio 1 : 2. How much does Tara get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  28. 28.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  29. 29.Divide ₹350 between Zoya and Ishaan in the ratio 9 : 1. How much does Ishaan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  31. 31.10 : 8 = 20 : ?
  32. 32.Divide ₹928 between Isha and Karan in the ratio 9 : 7. How much does Isha get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  34. 34.Divide ₹112 between Diya and Rahul in the ratio 1 : 3. How much does Diya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  36. 36.2 : 4 = 18 : ?
  37. 37.Divide ₹220 between Saanvi and Rahul in the ratio 4 : 1. How much does Rahul get (in ₹)?
  38. 38.3 : 4 = 15 : ?
  39. 39.Divide ₹294 between Vivaan and Meera in the ratio 2 : 5. How much does Meera get (in ₹)?
  40. 40.Divide ₹156 between Saanvi and Zoya in the ratio 4 : 9. How much does Zoya get (in ₹)?

Answer key

  1. 225
  2. 28
  3. 78
  4. 54
  5. 45
  6. 72
  7. 78
  8. 174
  9. 55
  10. 24
  11. 306
  12. 90
  13. 371
  14. 75
  15. 63
  16. 175
  17. 20
  18. 48
  19. 140
  20. 30
  21. 6
  22. 9
  23. 34
  24. 66
  25. 48
  26. 30
  27. 45
  28. 100
  29. 35
  30. 90
  31. 16
  32. 522
  33. 18
  34. 28
  35. 16
  36. 36
  37. 44
  38. 20
  39. 210
  40. 108

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