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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 10 · 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 ₹91 between Nisha and Meera in the ratio 8 : 5. How much does Nisha get (in ₹)?
  2. 2.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  3. 3.Divide ₹697 between Rohan and Karan in the ratio 9 : 8. How much does Karan get (in ₹)?
  4. 4.4 : 5 = 12 : ?
  5. 5.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  7. 7.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  8. 8.8 : 4 = 64 : ?
  9. 9.Divide ₹688 between Aditya and Isha in the ratio 9 : 7. How much does Isha get (in ₹)?
  10. 10.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  11. 11.Divide ₹99 between Karan and Farhan in the ratio 2 : 1. How much does Farhan get (in ₹)?
  12. 12.Divide ₹371 between Meera and Zoya in the ratio 3 : 4. How much does Meera get (in ₹)?
  13. 13.5 : 7 = 30 : ?
  14. 14.5 : 8 = 20 : ?
  15. 15.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?
  16. 16.11 : 9 = 22 : ?
  17. 17.Divide ₹624 between Sneha and Pooja in the ratio 9 : 7. How much does Sneha get (in ₹)?
  18. 18.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  19. 19.6 : 14 = 36 : ?
  20. 20.Divide ₹64 between Rahul and Rohan in the ratio 3 : 5. How much does Rohan get (in ₹)?
  21. 21.2 : 14 = 18 : ?
  22. 22.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  23. 23.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  24. 24.Divide ₹533 between Pooja and Saanvi in the ratio 4 : 9. How much does Pooja get (in ₹)?
  25. 25.Divide ₹260 between Diya and Priya in the ratio 9 : 4. How much does Priya get (in ₹)?
  26. 26.Divide ₹195 between Zoya and Diya in the ratio 7 : 6. How much does Diya get (in ₹)?
  27. 27.Divide ₹210 between Ishaan and Arjun in the ratio 8 : 7. How much does Arjun get (in ₹)?
  28. 28.3 : 6 = 6 : ?
  29. 29.Divide ₹504 between Ishaan and Aditya in the ratio 7 : 2. How much does Aditya get (in ₹)?
  30. 30.2 : 8 = 14 : ?
  31. 31.Divide ₹231 between Zoya and Aarav in the ratio 1 : 6. How much does Zoya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 8 : 5. There are 32 boys. How many girls are there?
  33. 33.Divide ₹352 between Saanvi and Aditya in the ratio 6 : 5. How much does Aditya get (in ₹)?
  34. 34.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  35. 35.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  36. 36.12 : 5 = 48 : ?
  37. 37.Divide ₹384 between Ananya and Diya in the ratio 5 : 3. How much does Diya get (in ₹)?
  38. 38.Divide ₹240 between Isha and Meera in the ratio 1 : 7. How much does Isha get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?

Answer key

  1. 56
  2. 100
  3. 328
  4. 15
  5. 6
  6. 12
  7. 16
  8. 32
  9. 301
  10. 12
  11. 33
  12. 159
  13. 42
  14. 32
  15. 9
  16. 18
  17. 351
  18. 8
  19. 84
  20. 40
  21. 126
  22. 80
  23. 8
  24. 164
  25. 80
  26. 90
  27. 98
  28. 12
  29. 112
  30. 56
  31. 33
  32. 20
  33. 160
  34. 175
  35. 150
  36. 20
  37. 144
  38. 30
  39. 16
  40. 10

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