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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 554 · 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.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 1 : 8. There are 9 boys. How many girls are there?
  3. 3.Divide ₹300 between Meera and Nisha in the ratio 5 : 1. How much does Nisha get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
  5. 5.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  6. 6.The ratio of boys to girls in a class is 4 : 3. There are 20 boys. How many girls are there?
  7. 7.Divide ₹120 between Rohan and Tara in the ratio 2 : 1. How much does Rohan get (in ₹)?
  8. 8.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  9. 9.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  10. 10.9 : 2 = 27 : ?
  11. 11.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  12. 12.10 : 7 = 40 : ?
  13. 13.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  14. 14.Divide ₹408 between Diya and Farhan in the ratio 3 : 5. How much does Farhan get (in ₹)?
  15. 15.Divide ₹264 between Vivaan and Zoya in the ratio 8 : 3. How much does Zoya get (in ₹)?
  16. 16.Divide ₹140 between Vivaan and Rohan in the ratio 3 : 2. How much does Rohan get (in ₹)?
  17. 17.Divide ₹99 between Manav and Priya in the ratio 3 : 8. How much does Priya get (in ₹)?
  18. 18.Divide ₹168 between Aarav and Isha in the ratio 4 : 3. How much does Isha get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  21. 21.12 : 3 = 36 : ?
  22. 22.Divide ₹484 between Priya and Dev in the ratio 5 : 6. How much does Priya get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
  24. 24.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  25. 25.Divide ₹45 between Priya and Diya in the ratio 4 : 1. How much does Diya get (in ₹)?
  26. 26.Divide ₹160 between Rahul and Diya in the ratio 3 : 2. How much does Diya get (in ₹)?
  27. 27.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  28. 28.Divide ₹308 between Aditya and Arjun in the ratio 3 : 4. How much does Arjun get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  30. 30.5 : 15 = 45 : ?
  31. 31.Divide ₹112 between Vivaan and Aarav in the ratio 3 : 1. How much does Vivaan get (in ₹)?
  32. 32.11 : 6 = 66 : ?
  33. 33.Divide ₹378 between Pooja and Manav in the ratio 2 : 5. How much does Pooja get (in ₹)?
  34. 34.6 : 2 = 30 : ?
  35. 35.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  36. 36.Divide ₹270 between Manav and Kavya in the ratio 1 : 8. How much does Manav get (in ₹)?
  37. 37.Divide ₹494 between Arjun and Tara in the ratio 4 : 9. How much does Tara get (in ₹)?
  38. 38.11 : 2 = 55 : ?
  39. 39.Divide ₹660 between Dev and Rohan in the ratio 7 : 5. How much does Dev get (in ₹)?
  40. 40.4 : 5 = 36 : ?

Answer key

  1. 40
  2. 72
  3. 50
  4. 40
  5. 96
  6. 15
  7. 80
  8. 16
  9. 20
  10. 6
  11. 30
  12. 28
  13. 24
  14. 255
  15. 72
  16. 56
  17. 72
  18. 72
  19. 49
  20. 42
  21. 9
  22. 220
  23. 64
  24. 175
  25. 9
  26. 64
  27. 63
  28. 176
  29. 28
  30. 135
  31. 84
  32. 36
  33. 108
  34. 10
  35. 27
  36. 30
  37. 342
  38. 10
  39. 385
  40. 45

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