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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 413 · 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.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  2. 2.Divide ₹56 between Priya and Ananya in the ratio 1 : 3. How much does Priya get (in ₹)?
  3. 3.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  4. 4.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  5. 5.Divide ₹572 between Aditya and Aarav in the ratio 4 : 9. How much does Aarav get (in ₹)?
  6. 6.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  7. 7.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  8. 8.Divide ₹156 between Rahul and Aarav in the ratio 1 : 3. How much does Rahul get (in ₹)?
  9. 9.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  10. 10.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  11. 11.Divide ₹170 between Meera and Dev in the ratio 7 : 3. How much does Meera get (in ₹)?
  12. 12.4 : 12 = 20 : ?
  13. 13.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  14. 14.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
  15. 15.2 : 5 = 12 : ?
  16. 16.Divide ₹66 between Vivaan and Karan in the ratio 1 : 5. How much does Vivaan get (in ₹)?
  17. 17.Divide ₹343 between Ananya and Isha in the ratio 5 : 2. How much does Isha get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  19. 19.Divide ₹175 between Rohan and Saanvi in the ratio 6 : 1. How much does Saanvi get (in ₹)?
  20. 20.11 : 9 = 77 : ?
  21. 21.Divide ₹350 between Nisha and Pooja in the ratio 1 : 6. How much does Pooja get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  23. 23.Divide ₹156 between Meera and Ananya in the ratio 1 : 2. How much does Meera get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 7 : 5. There are 21 boys. How many girls are there?
  25. 25.Divide ₹364 between Ishaan and Farhan in the ratio 1 : 6. How much does Ishaan get (in ₹)?
  26. 26.Divide ₹45 between Meera and Ishaan in the ratio 2 : 3. How much does Ishaan get (in ₹)?
  27. 27.6 : 7 = 42 : ?
  28. 28.12 : 8 = 108 : ?
  29. 29.Divide ₹376 between Dev and Ananya in the ratio 5 : 3. How much does Ananya get (in ₹)?
  30. 30.Divide ₹288 between Aarav and Vivaan in the ratio 5 : 1. How much does Vivaan get (in ₹)?
  31. 31.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  32. 32.Divide ₹323 between Priya and Farhan in the ratio 8 : 9. How much does Farhan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 7 : 9. There are 35 boys. How many girls are there?
  34. 34.Divide ₹572 between Dev and Kavya in the ratio 3 : 8. How much does Kavya get (in ₹)?
  35. 35.6 : 10 = 54 : ?
  36. 36.Divide ₹672 between Dev and Sneha in the ratio 9 : 7. How much does Sneha get (in ₹)?
  37. 37.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  38. 38.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  39. 39.Divide ₹495 between Zoya and Arjun in the ratio 2 : 7. How much does Zoya get (in ₹)?
  40. 40.Divide ₹405 between Kavya and Saanvi in the ratio 1 : 8. How much does Saanvi get (in ₹)?

Answer key

  1. 4
  2. 14
  3. 45
  4. 8
  5. 396
  6. 72
  7. 18
  8. 39
  9. 144
  10. 18
  11. 119
  12. 60
  13. 225
  14. 18
  15. 30
  16. 11
  17. 98
  18. 25
  19. 25
  20. 63
  21. 300
  22. 45
  23. 52
  24. 15
  25. 52
  26. 27
  27. 49
  28. 72
  29. 141
  30. 48
  31. 32
  32. 171
  33. 45
  34. 416
  35. 90
  36. 294
  37. 16
  38. 63
  39. 110
  40. 360

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