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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 961 · 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 3 and 15 (that is, 3 : 15 = 15 : ?).
  2. 2.3 : 9 = 15 : ?
  3. 3.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  4. 4.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  5. 5.Divide ₹240 between Diya and Pooja in the ratio 7 : 1. How much does Diya get (in ₹)?
  6. 6.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  7. 7.11 : 2 = 55 : ?
  8. 8.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  9. 9.Divide ₹308 between Karan and Rohan in the ratio 9 : 5. How much does Rohan get (in ₹)?
  10. 10.4 : 2 = 20 : ?
  11. 11.Divide ₹352 between Saanvi and Farhan in the ratio 4 : 7. How much does Saanvi get (in ₹)?
  12. 12.5 : 13 = 45 : ?
  13. 13.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  14. 14.9 : 14 = 81 : ?
  15. 15.Divide ₹252 between Pooja and Isha in the ratio 4 : 5. How much does Pooja get (in ₹)?
  16. 16.Divide ₹481 between Aarav and Ananya in the ratio 7 : 6. How much does Aarav get (in ₹)?
  17. 17.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  18. 18.The ratio of boys to girls in a class is 6 : 7. There are 42 boys. How many girls are there?
  19. 19.9 : 14 = 36 : ?
  20. 20.Divide ₹413 between Saanvi and Meera in the ratio 3 : 4. How much does Meera get (in ₹)?
  21. 21.Divide ₹196 between Diya and Saanvi in the ratio 5 : 9. How much does Saanvi get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 5 : 9. There are 35 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  28. 28.Divide ₹360 between Meera and Farhan in the ratio 5 : 3. How much does Farhan get (in ₹)?
  29. 29.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  30. 30.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  31. 31.6 : 12 = 48 : ?
  32. 32.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  33. 33.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  34. 34.2 : 15 = 12 : ?
  35. 35.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  36. 36.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  37. 37.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  38. 38.Divide ₹66 between Nisha and Ananya in the ratio 1 : 5. How much does Ananya get (in ₹)?
  39. 39.Divide ₹531 between Kavya and Rohan in the ratio 2 : 7. How much does Kavya get (in ₹)?
  40. 40.2 : 13 = 8 : ?

Answer key

  1. 75
  2. 45
  3. 18
  4. 128
  5. 210
  6. 20
  7. 10
  8. 35
  9. 110
  10. 10
  11. 128
  12. 117
  13. 36
  14. 126
  15. 112
  16. 259
  17. 45
  18. 49
  19. 56
  20. 236
  21. 126
  22. 12
  23. 60
  24. 42
  25. 63
  26. 5
  27. 18
  28. 135
  29. 54
  30. 24
  31. 96
  32. 64
  33. 96
  34. 90
  35. 50
  36. 27
  37. 21
  38. 55
  39. 118
  40. 52

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