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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 825 · 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).

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  1. 1.Divide ₹88 between Farhan and Meera in the ratio 3 : 1. How much does Meera get (in ₹)?
  2. 2.Divide ₹460 between Farhan and Rahul in the ratio 9 : 1. How much does Rahul get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  4. 4.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  5. 5.3 : 14 = 12 : ?
  6. 6.Divide ₹140 between Ishaan and Manav in the ratio 1 : 3. How much does Manav get (in ₹)?
  7. 7.Divide ₹128 between Ishaan and Arjun in the ratio 1 : 3. How much does Arjun get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  9. 9.Divide ₹108 between Karan and Vivaan in the ratio 2 : 7. How much does Vivaan get (in ₹)?
  10. 10.10 : 13 = 20 : ?
  11. 11.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  12. 12.7 : 13 = 28 : ?
  13. 13.2 : 4 = 4 : ?
  14. 14.Divide ₹208 between Rahul and Farhan in the ratio 6 : 7. How much does Farhan get (in ₹)?
  15. 15.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  16. 16.11 : 6 = 77 : ?
  17. 17.Divide ₹203 between Priya and Kavya in the ratio 2 : 5. How much does Kavya get (in ₹)?
  18. 18.Divide ₹272 between Rohan and Kavya in the ratio 7 : 1. How much does Rohan get (in ₹)?
  19. 19.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  20. 20.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  21. 21.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
  22. 22.Divide ₹315 between Pooja and Arjun in the ratio 8 : 1. How much does Arjun get (in ₹)?
  23. 23.11 : 13 = 77 : ?
  24. 24.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  25. 25.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  26. 26.Divide ₹126 between Zoya and Ishaan in the ratio 2 : 7. How much does Zoya get (in ₹)?
  27. 27.Divide ₹260 between Saanvi and Ananya in the ratio 3 : 2. How much does Saanvi get (in ₹)?
  28. 28.Divide ₹480 between Ishaan and Meera in the ratio 7 : 8. How much does Meera get (in ₹)?
  29. 29.8 : 6 = 32 : ?
  30. 30.The ratio of boys to girls in a class is 9 : 1. There are 45 boys. How many girls are there?
  31. 31.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  32. 32.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  34. 34.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  35. 35.8 : 14 = 32 : ?
  36. 36.Divide ₹686 between Karan and Kabir in the ratio 5 : 9. How much does Karan get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  39. 39.2 : 4 = 14 : ?
  40. 40.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?

Answer key

  1. 22
  2. 46
  3. 30
  4. 80
  5. 56
  6. 105
  7. 96
  8. 20
  9. 84
  10. 26
  11. 24
  12. 52
  13. 8
  14. 112
  15. 32
  16. 42
  17. 145
  18. 238
  19. 112
  20. 20
  21. 25
  22. 35
  23. 91
  24. 20
  25. 28
  26. 28
  27. 156
  28. 256
  29. 24
  30. 5
  31. 100
  32. 8
  33. 10
  34. 48
  35. 56
  36. 245
  37. 25
  38. 24
  39. 28
  40. 6

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