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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 236 · 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 5 and 10 (that is, 5 : 10 = 10 : ?).
  2. 2.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  3. 3.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  4. 4.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  5. 5.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  6. 6.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  7. 7.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  9. 9.Divide ₹42 between Sneha and Zoya in the ratio 1 : 5. How much does Zoya get (in ₹)?
  10. 10.2 : 4 = 18 : ?
  11. 11.12 : 2 = 36 : ?
  12. 12.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  13. 13.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  14. 14.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  15. 15.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?
  16. 16.Divide ₹496 between Vivaan and Zoya in the ratio 9 : 7. How much does Zoya get (in ₹)?
  17. 17.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  18. 18.Divide ₹285 between Aarav and Isha in the ratio 2 : 3. How much does Aarav get (in ₹)?
  19. 19.Divide ₹148 between Pooja and Kabir in the ratio 1 : 3. How much does Pooja get (in ₹)?
  20. 20.Divide ₹728 between Farhan and Meera in the ratio 8 : 5. How much does Meera get (in ₹)?
  21. 21.Divide ₹240 between Kavya and Aarav in the ratio 3 : 2. How much does Aarav get (in ₹)?
  22. 22.3 : 9 = 21 : ?
  23. 23.Divide ₹160 between Nisha and Zoya in the ratio 9 : 7. How much does Zoya get (in ₹)?
  24. 24.Divide ₹99 between Saanvi and Isha in the ratio 6 : 5. How much does Isha get (in ₹)?
  25. 25.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  26. 26.12 : 2 = 72 : ?
  27. 27.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  28. 28.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  29. 29.Divide ₹400 between Rahul and Arjun in the ratio 5 : 3. How much does Rahul get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 2 : 3. There are 14 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  32. 32.Divide ₹405 between Aditya and Saanvi in the ratio 4 : 5. How much does Saanvi get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  34. 34.9 : 13 = 18 : ?
  35. 35.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  36. 36.Divide ₹300 between Rohan and Priya in the ratio 1 : 9. How much does Priya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
  38. 38.8 : 2 = 64 : ?
  39. 39.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  40. 40.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).

Answer key

  1. 20
  2. 63
  3. 36
  4. 8
  5. 144
  6. 175
  7. 70
  8. 14
  9. 35
  10. 36
  11. 6
  12. 64
  13. 42
  14. 36
  15. 56
  16. 217
  17. 96
  18. 114
  19. 37
  20. 280
  21. 96
  22. 63
  23. 70
  24. 45
  25. 81
  26. 12
  27. 48
  28. 2
  29. 250
  30. 21
  31. 16
  32. 225
  33. 50
  34. 26
  35. 128
  36. 270
  37. 54
  38. 16
  39. 14
  40. 8

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