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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 125 · 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 7 and 21 (that is, 7 : 21 = 21 : ?).
  2. 2.Divide ₹590 between Sneha and Arjun in the ratio 7 : 3. How much does Sneha get (in ₹)?
  3. 3.4 : 15 = 36 : ?
  4. 4.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  5. 5.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  6. 6.Divide ₹496 between Vivaan and Tara in the ratio 9 : 7. How much does Tara get (in ₹)?
  7. 7.Divide ₹380 between Saanvi and Dev in the ratio 9 : 1. How much does Saanvi get (in ₹)?
  8. 8.Divide ₹54 between Dev and Saanvi in the ratio 1 : 2. How much does Dev get (in ₹)?
  9. 9.Divide ₹410 between Aditya and Dev in the ratio 3 : 7. How much does Aditya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 3 : 4. There are 30 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
  12. 12.Divide ₹105 between Farhan and Nisha in the ratio 4 : 1. How much does Nisha get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  15. 15.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  16. 16.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  17. 17.8 : 6 = 32 : ?
  18. 18.Divide ₹390 between Diya and Arjun in the ratio 7 : 8. How much does Diya get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  20. 20.Divide ₹884 between Dev and Ananya in the ratio 8 : 9. How much does Ananya get (in ₹)?
  21. 21.Divide ₹336 between Farhan and Rohan in the ratio 1 : 7. How much does Rohan get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  23. 23.2 : 3 = 16 : ?
  24. 24.5 : 4 = 15 : ?
  25. 25.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
  26. 26.Divide ₹371 between Karan and Meera in the ratio 1 : 6. How much does Karan get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  28. 28.Divide ₹480 between Diya and Isha in the ratio 1 : 7. How much does Diya get (in ₹)?
  29. 29.11 : 9 = 55 : ?
  30. 30.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  31. 31.4 : 10 = 12 : ?
  32. 32.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  33. 33.Divide ₹867 between Manav and Aditya in the ratio 8 : 9. How much does Aditya get (in ₹)?
  34. 34.10 : 8 = 20 : ?
  35. 35.7 : 6 = 49 : ?
  36. 36.Divide ₹560 between Pooja and Meera in the ratio 7 : 3. How much does Pooja get (in ₹)?
  37. 37.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  38. 38.The ratio of boys to girls in a class is 5 : 3. There are 40 boys. How many girls are there?
  39. 39.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  40. 40.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?

Answer key

  1. 63
  2. 413
  3. 135
  4. 225
  5. 54
  6. 217
  7. 342
  8. 18
  9. 123
  10. 40
  11. 40
  12. 21
  13. 48
  14. 9
  15. 75
  16. 100
  17. 24
  18. 182
  19. 14
  20. 468
  21. 294
  22. 24
  23. 24
  24. 12
  25. 3
  26. 53
  27. 28
  28. 60
  29. 45
  30. 36
  31. 30
  32. 36
  33. 459
  34. 16
  35. 42
  36. 392
  37. 24
  38. 24
  39. 32
  40. 42

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