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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 22 · 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 ₹371 between Vivaan and Aditya in the ratio 6 : 1. How much does Aditya get (in ₹)?
  2. 2.Divide ₹658 between Dev and Zoya in the ratio 9 : 5. How much does Zoya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
  6. 6.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  7. 7.5 : 11 = 15 : ?
  8. 8.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  9. 9.Divide ₹561 between Tara and Arjun in the ratio 8 : 3. How much does Arjun get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  11. 11.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  12. 12.10 : 2 = 20 : ?
  13. 13.4 : 7 = 12 : ?
  14. 14.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  15. 15.Divide ₹264 between Farhan and Ananya in the ratio 6 : 5. How much does Farhan get (in ₹)?
  16. 16.Divide ₹112 between Aditya and Meera in the ratio 3 : 1. How much does Meera get (in ₹)?
  17. 17.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  18. 18.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  19. 19.Divide ₹374 between Rahul and Manav in the ratio 8 : 9. How much does Rahul get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 5 : 9. There are 35 boys. How many girls are there?
  21. 21.7 : 2 = 35 : ?
  22. 22.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  23. 23.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  24. 24.6 : 5 = 18 : ?
  25. 25.4 : 8 = 8 : ?
  26. 26.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  27. 27.Divide ₹216 between Meera and Zoya in the ratio 8 : 1. How much does Zoya get (in ₹)?
  28. 28.Divide ₹420 between Rohan and Diya in the ratio 7 : 3. How much does Diya get (in ₹)?
  29. 29.10 : 12 = 40 : ?
  30. 30.Divide ₹264 between Pooja and Vivaan in the ratio 1 : 5. How much does Vivaan get (in ₹)?
  31. 31.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  32. 32.6 : 15 = 12 : ?
  33. 33.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  34. 34.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  35. 35.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  36. 36.12 : 13 = 60 : ?
  37. 37.10 : 8 = 60 : ?
  38. 38.Divide ₹221 between Arjun and Rahul in the ratio 6 : 7. How much does Rahul get (in ₹)?
  39. 39.3 : 4 = 15 : ?
  40. 40.Divide ₹192 between Tara and Rohan in the ratio 5 : 3. How much does Tara get (in ₹)?

Answer key

  1. 53
  2. 235
  3. 10
  4. 3
  5. 28
  6. 63
  7. 33
  8. 18
  9. 153
  10. 16
  11. 48
  12. 4
  13. 21
  14. 27
  15. 144
  16. 28
  17. 112
  18. 75
  19. 176
  20. 63
  21. 10
  22. 4
  23. 125
  24. 15
  25. 16
  26. 150
  27. 24
  28. 126
  29. 48
  30. 220
  31. 24
  32. 30
  33. 45
  34. 8
  35. 16
  36. 65
  37. 48
  38. 119
  39. 20
  40. 120

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