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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 67 · 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 ₹168 between Aditya and Rahul in the ratio 6 : 1. How much does Aditya get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  3. 3.Divide ₹441 between Diya and Saanvi in the ratio 1 : 8. How much does Diya get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
  5. 5.Divide ₹660 between Pooja and Tara in the ratio 3 : 8. How much does Pooja get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  7. 7.Divide ₹128 between Sneha and Rohan in the ratio 3 : 5. How much does Rohan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  10. 10.Divide ₹66 between Zoya and Meera in the ratio 1 : 2. How much does Zoya get (in ₹)?
  11. 11.4 : 3 = 8 : ?
  12. 12.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  13. 13.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  14. 14.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  15. 15.Divide ₹153 between Isha and Karan in the ratio 7 : 2. How much does Karan get (in ₹)?
  16. 16.2 : 6 = 12 : ?
  17. 17.The ratio of boys to girls in a class is 7 : 5. There are 49 boys. How many girls are there?
  18. 18.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  19. 19.Divide ₹295 between Meera and Arjun in the ratio 1 : 4. How much does Meera get (in ₹)?
  20. 20.6 : 4 = 30 : ?
  21. 21.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?
  23. 23.Divide ₹392 between Nisha and Priya in the ratio 3 : 4. How much does Nisha get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
  26. 26.Divide ₹120 between Saanvi and Aarav in the ratio 3 : 5. How much does Aarav get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 4 : 9. There are 24 boys. How many girls are there?
  28. 28.Divide ₹624 between Farhan and Kabir in the ratio 8 : 5. How much does Kabir get (in ₹)?
  29. 29.2 : 14 = 4 : ?
  30. 30.11 : 15 = 55 : ?
  31. 31.4 : 11 = 8 : ?
  32. 32.Divide ₹795 between Meera and Dev in the ratio 7 : 8. How much does Meera get (in ₹)?
  33. 33.Divide ₹42 between Meera and Sneha in the ratio 4 : 3. How much does Sneha get (in ₹)?
  34. 34.6 : 12 = 36 : ?
  35. 35.6 : 9 = 18 : ?
  36. 36.Divide ₹126 between Ishaan and Arjun in the ratio 2 : 5. How much does Ishaan get (in ₹)?
  37. 37.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  38. 38.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 5 : 9. There are 25 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?

Answer key

  1. 144
  2. 14
  3. 49
  4. 10
  5. 180
  6. 8
  7. 80
  8. 14
  9. 21
  10. 22
  11. 6
  12. 40
  13. 63
  14. 45
  15. 34
  16. 36
  17. 35
  18. 144
  19. 59
  20. 20
  21. 72
  22. 40
  23. 168
  24. 32
  25. 14
  26. 75
  27. 54
  28. 240
  29. 28
  30. 75
  31. 22
  32. 371
  33. 18
  34. 72
  35. 27
  36. 36
  37. 36
  38. 10
  39. 45
  40. 20

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