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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 193 · 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. 1.3 : 6 = 9 : ?
  2. 2.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  3. 3.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  4. 4.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  5. 5.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
  7. 7.Divide ₹165 between Farhan and Aditya in the ratio 4 : 1. How much does Farhan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  9. 9.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  10. 10.Divide ₹350 between Manav and Meera in the ratio 3 : 4. How much does Manav get (in ₹)?
  11. 11.11 : 12 = 99 : ?
  12. 12.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  13. 13.Divide ₹416 between Aarav and Meera in the ratio 1 : 7. How much does Aarav get (in ₹)?
  14. 14.10 : 4 = 40 : ?
  15. 15.Divide ₹253 between Vivaan and Aditya in the ratio 6 : 5. How much does Vivaan get (in ₹)?
  16. 16.Divide ₹189 between Meera and Saanvi in the ratio 5 : 2. How much does Saanvi get (in ₹)?
  17. 17.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  18. 18.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  19. 19.11 : 10 = 33 : ?
  20. 20.3 : 7 = 9 : ?
  21. 21.The ratio of boys to girls in a class is 5 : 8. There are 50 boys. How many girls are there?
  22. 22.Divide ₹168 between Meera and Ishaan in the ratio 4 : 3. How much does Meera get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  24. 24.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  25. 25.2 : 9 = 4 : ?
  26. 26.Divide ₹192 between Nisha and Aarav in the ratio 9 : 7. How much does Aarav get (in ₹)?
  27. 27.7 : 4 = 42 : ?
  28. 28.Divide ₹418 between Karan and Rahul in the ratio 7 : 4. How much does Rahul get (in ₹)?
  29. 29.Divide ₹629 between Vivaan and Ananya in the ratio 9 : 8. How much does Vivaan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  33. 33.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  34. 34.5 : 7 = 30 : ?
  35. 35.2 : 5 = 8 : ?
  36. 36.Divide ₹289 between Pooja and Isha in the ratio 8 : 9. How much does Pooja get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
  38. 38.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  39. 39.Divide ₹561 between Rohan and Meera in the ratio 9 : 8. How much does Meera get (in ₹)?
  40. 40.Divide ₹611 between Kavya and Aarav in the ratio 4 : 9. How much does Aarav get (in ₹)?

Answer key

  1. 18
  2. 28
  3. 96
  4. 24
  5. 3
  6. 42
  7. 132
  8. 70
  9. 32
  10. 150
  11. 108
  12. 32
  13. 52
  14. 16
  15. 138
  16. 54
  17. 81
  18. 200
  19. 30
  20. 21
  21. 80
  22. 96
  23. 7
  24. 125
  25. 18
  26. 84
  27. 24
  28. 152
  29. 333
  30. 9
  31. 24
  32. 30
  33. 16
  34. 42
  35. 20
  36. 136
  37. 35
  38. 54
  39. 264
  40. 423

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