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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 148 · 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.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  2. 2.2 : 3 = 18 : ?
  3. 3.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  4. 4.Divide ₹656 between Meera and Tara in the ratio 9 : 7. How much does Meera get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
  7. 7.8 : 5 = 56 : ?
  8. 8.4 : 11 = 12 : ?
  9. 9.Divide ₹144 between Pooja and Ananya in the ratio 5 : 4. How much does Ananya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  12. 12.Divide ₹195 between Ishaan and Karan in the ratio 7 : 6. How much does Karan get (in ₹)?
  13. 13.Divide ₹812 between Meera and Kabir in the ratio 9 : 5. How much does Kabir get (in ₹)?
  14. 14.6 : 9 = 42 : ?
  15. 15.Divide ₹35 between Aarav and Ananya in the ratio 1 : 4. How much does Aarav get (in ₹)?
  16. 16.5 : 11 = 10 : ?
  17. 17.The ratio of boys to girls in a class is 7 : 3. There are 49 boys. How many girls are there?
  18. 18.11 : 2 = 33 : ?
  19. 19.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  20. 20.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  21. 21.7 : 11 = 21 : ?
  22. 22.Divide ₹210 between Nisha and Rohan in the ratio 9 : 5. How much does Rohan get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  25. 25.Divide ₹440 between Tara and Isha in the ratio 9 : 1. How much does Isha get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  27. 27.Divide ₹561 between Aarav and Manav in the ratio 5 : 6. How much does Aarav get (in ₹)?
  28. 28.Divide ₹135 between Aditya and Kavya in the ratio 1 : 8. How much does Aditya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 9 : 8. There are 72 boys. How many girls are there?
  30. 30.11 : 7 = 77 : ?
  31. 31.Divide ₹126 between Ishaan and Kabir in the ratio 1 : 2. How much does Kabir get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
  34. 34.2 : 7 = 16 : ?
  35. 35.8 : 13 = 48 : ?
  36. 36.Divide ₹245 between Nisha and Farhan in the ratio 1 : 6. How much does Farhan get (in ₹)?
  37. 37.4 : 3 = 36 : ?
  38. 38.Divide ₹650 between Pooja and Kavya in the ratio 6 : 7. How much does Pooja get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
  40. 40.Divide ₹180 between Pooja and Farhan in the ratio 9 : 1. How much does Farhan get (in ₹)?

Answer key

  1. 50
  2. 27
  3. 28
  4. 369
  5. 21
  6. 28
  7. 35
  8. 33
  9. 64
  10. 2
  11. 28
  12. 90
  13. 290
  14. 63
  15. 7
  16. 22
  17. 21
  18. 6
  19. 48
  20. 12
  21. 33
  22. 75
  23. 27
  24. 16
  25. 44
  26. 10
  27. 255
  28. 15
  29. 64
  30. 49
  31. 84
  32. 63
  33. 2
  34. 56
  35. 78
  36. 210
  37. 27
  38. 300
  39. 15
  40. 18

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