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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 862 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹583 between Aarav and Meera in the ratio 9 : 2. How much does Aarav get (in ₹)?
  2. 2.Divide ₹490 between Kavya and Isha in the ratio 9 : 5. How much does Isha get (in ₹)?
  3. 3.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  4. 4.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  5. 5.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  6. 6.Divide ₹336 between Farhan and Diya in the ratio 2 : 5. How much does Farhan get (in ₹)?
  7. 7.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  8. 8.5 : 9 = 15 : ?
  9. 9.9 : 12 = 81 : ?
  10. 10.Divide ₹112 between Rohan and Kavya in the ratio 7 : 1. How much does Rohan get (in ₹)?
  11. 11.4 : 2 = 20 : ?
  12. 12.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  13. 13.11 : 4 = 88 : ?
  14. 14.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  15. 15.Divide ₹594 between Farhan and Meera in the ratio 9 : 2. How much does Farhan get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 4 : 9. There are 36 boys. How many girls are there?
  17. 17.Divide ₹112 between Manav and Tara in the ratio 7 : 9. How much does Manav get (in ₹)?
  18. 18.9 : 5 = 54 : ?
  19. 19.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
  20. 20.2 : 10 = 6 : ?
  21. 21.Divide ₹504 between Ananya and Isha in the ratio 1 : 8. How much does Ananya get (in ₹)?
  22. 22.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  23. 23.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  24. 24.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  25. 25.3 : 7 = 21 : ?
  26. 26.10 : 7 = 80 : ?
  27. 27.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  29. 29.Divide ₹35 between Saanvi and Arjun in the ratio 1 : 4. How much does Arjun get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  31. 31.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  32. 32.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  33. 33.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  34. 34.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  35. 35.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  36. 36.Divide ₹117 between Zoya and Karan in the ratio 2 : 1. How much does Karan get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 3 : 5. There are 18 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  40. 40.11 : 8 = 22 : ?

Answer key

  1. 477
  2. 175
  3. 63
  4. 96
  5. 50
  6. 96
  7. 36
  8. 27
  9. 108
  10. 98
  11. 10
  12. 35
  13. 32
  14. 125
  15. 486
  16. 81
  17. 49
  18. 30
  19. 14
  20. 30
  21. 56
  22. 200
  23. 20
  24. 144
  25. 49
  26. 56
  27. 6
  28. 30
  29. 28
  30. 24
  31. 27
  32. 112
  33. 75
  34. 56
  35. 45
  36. 39
  37. 30
  38. 30
  39. 21
  40. 16

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