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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 801 · 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 4 and 16 (that is, 4 : 16 = 16 : ?).
  2. 2.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  3. 3.3 : 4 = 12 : ?
  4. 4.Divide ₹765 between Rohan and Nisha in the ratio 8 : 9. How much does Rohan get (in ₹)?
  5. 5.Divide ₹180 between Karan and Zoya in the ratio 1 : 3. How much does Zoya get (in ₹)?
  6. 6.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  7. 7.4 : 6 = 28 : ?
  8. 8.Divide ₹552 between Farhan and Sneha in the ratio 5 : 7. How much does Farhan get (in ₹)?
  9. 9.Divide ₹340 between Diya and Arjun in the ratio 9 : 1. How much does Diya get (in ₹)?
  10. 10.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  11. 11.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  12. 12.2 : 4 = 10 : ?
  13. 13.2 : 8 = 18 : ?
  14. 14.12 : 9 = 48 : ?
  15. 15.7 : 14 = 21 : ?
  16. 16.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  17. 17.2 : 4 = 8 : ?
  18. 18.Divide ₹561 between Kavya and Diya in the ratio 3 : 8. How much does Diya get (in ₹)?
  19. 19.Divide ₹559 between Ananya and Aarav in the ratio 7 : 6. How much does Ananya get (in ₹)?
  20. 20.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  21. 21.The ratio of boys to girls in a class is 5 : 8. There are 45 boys. How many girls are there?
  22. 22.Divide ₹480 between Arjun and Aditya in the ratio 9 : 7. How much does Aditya get (in ₹)?
  23. 23.Divide ₹224 between Priya and Saanvi in the ratio 1 : 3. How much does Priya get (in ₹)?
  24. 24.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  25. 25.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  26. 26.Divide ₹350 between Rohan and Ananya in the ratio 2 : 5. How much does Rohan get (in ₹)?
  27. 27.2 : 5 = 4 : ?
  28. 28.The ratio of boys to girls in a class is 7 : 3. There are 49 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  30. 30.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  31. 31.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  32. 32.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  33. 33.Divide ₹312 between Nisha and Arjun in the ratio 5 : 1. How much does Nisha get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
  35. 35.Divide ₹322 between Zoya and Kavya in the ratio 1 : 6. How much does Kavya get (in ₹)?
  36. 36.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  37. 37.11 : 14 = 55 : ?
  38. 38.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  39. 39.4 : 3 = 16 : ?
  40. 40.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).

Answer key

  1. 64
  2. 24
  3. 16
  4. 360
  5. 135
  6. 32
  7. 42
  8. 230
  9. 306
  10. 12
  11. 48
  12. 20
  13. 72
  14. 36
  15. 42
  16. 9
  17. 16
  18. 408
  19. 301
  20. 18
  21. 72
  22. 210
  23. 56
  24. 28
  25. 15
  26. 100
  27. 10
  28. 21
  29. 24
  30. 45
  31. 30
  32. 32
  33. 260
  34. 45
  35. 276
  36. 225
  37. 70
  38. 112
  39. 12
  40. 175

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