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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 871 · 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. 1.8 : 2 = 64 : ?
  2. 2.7 : 5 = 49 : ?
  3. 3.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  5. 5.Divide ₹112 between Sneha and Farhan in the ratio 9 : 5. How much does Farhan get (in ₹)?
  6. 6.Divide ₹200 between Sneha and Karan in the ratio 3 : 7. How much does Sneha get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  9. 9.Divide ₹116 between Aditya and Diya in the ratio 3 : 1. How much does Diya get (in ₹)?
  10. 10.Divide ₹91 between Rahul and Meera in the ratio 3 : 4. How much does Meera get (in ₹)?
  11. 11.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  12. 12.Divide ₹602 between Rahul and Nisha in the ratio 5 : 9. How much does Nisha get (in ₹)?
  13. 13.Divide ₹459 between Aarav and Isha in the ratio 4 : 5. How much does Isha get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  15. 15.Divide ₹99 between Rohan and Kabir in the ratio 4 : 7. How much does Rohan get (in ₹)?
  16. 16.Divide ₹270 between Saanvi and Aarav in the ratio 4 : 1. How much does Aarav get (in ₹)?
  17. 17.7 : 2 = 21 : ?
  18. 18.9 : 7 = 81 : ?
  19. 19.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  20. 20.5 : 3 = 15 : ?
  21. 21.8 : 9 = 72 : ?
  22. 22.6 : 3 = 54 : ?
  23. 23.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  24. 24.Divide ₹128 between Isha and Aarav in the ratio 1 : 7. How much does Aarav get (in ₹)?
  25. 25.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  26. 26.10 : 5 = 40 : ?
  27. 27.6 : 13 = 42 : ?
  28. 28.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  29. 29.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  31. 31.Divide ₹520 between Pooja and Meera in the ratio 5 : 8. How much does Pooja get (in ₹)?
  32. 32.Divide ₹594 between Manav and Dev in the ratio 4 : 7. How much does Manav get (in ₹)?
  33. 33.8 : 5 = 64 : ?
  34. 34.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  35. 35.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  36. 36.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  37. 37.Divide ₹528 between Kavya and Aditya in the ratio 9 : 7. How much does Aditya get (in ₹)?
  38. 38.Divide ₹250 between Meera and Zoya in the ratio 3 : 7. How much does Zoya get (in ₹)?
  39. 39.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  40. 40.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).

Answer key

  1. 16
  2. 35
  3. 5
  4. 6
  5. 40
  6. 60
  7. 8
  8. 4
  9. 29
  10. 52
  11. 36
  12. 387
  13. 255
  14. 24
  15. 36
  16. 54
  17. 6
  18. 63
  19. 50
  20. 9
  21. 81
  22. 27
  23. 35
  24. 112
  25. 64
  26. 20
  27. 91
  28. 75
  29. 24
  30. 4
  31. 200
  32. 216
  33. 40
  34. 36
  35. 125
  36. 144
  37. 231
  38. 175
  39. 96
  40. 175

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