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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 805 · 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 ₹91 between Meera and Karan in the ratio 5 : 8. How much does Karan get (in ₹)?
  2. 2.Divide ₹186 between Aarav and Ananya in the ratio 5 : 1. How much does Ananya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  5. 5.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  6. 6.7 : 11 = 42 : ?
  7. 7.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  8. 8.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
  9. 9.3 : 2 = 24 : ?
  10. 10.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  14. 14.Divide ₹80 between Aarav and Diya in the ratio 4 : 1. How much does Diya get (in ₹)?
  15. 15.6 : 8 = 24 : ?
  16. 16.12 : 4 = 36 : ?
  17. 17.The ratio of boys to girls in a class is 7 : 4. There are 49 boys. How many girls are there?
  18. 18.Divide ₹144 between Ananya and Kavya in the ratio 7 : 2. How much does Kavya get (in ₹)?
  19. 19.Divide ₹135 between Aarav and Ishaan in the ratio 1 : 2. How much does Aarav get (in ₹)?
  20. 20.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  21. 21.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  22. 22.2 : 13 = 10 : ?
  23. 23.5 : 4 = 30 : ?
  24. 24.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  25. 25.Divide ₹80 between Saanvi and Diya in the ratio 9 : 7. How much does Diya get (in ₹)?
  26. 26.Divide ₹324 between Kavya and Vivaan in the ratio 1 : 5. How much does Vivaan get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
  28. 28.2 : 12 = 14 : ?
  29. 29.10 : 14 = 40 : ?
  30. 30.10 : 7 = 70 : ?
  31. 31.Divide ₹423 between Zoya and Aditya in the ratio 8 : 1. How much does Zoya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  33. 33.2 : 7 = 6 : ?
  34. 34.Divide ₹231 between Rahul and Rohan in the ratio 4 : 3. How much does Rahul get (in ₹)?
  35. 35.Divide ₹253 between Zoya and Nisha in the ratio 7 : 4. How much does Nisha get (in ₹)?
  36. 36.3 : 15 = 6 : ?
  37. 37.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  38. 38.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  39. 39.Divide ₹236 between Tara and Meera in the ratio 3 : 1. How much does Tara get (in ₹)?
  40. 40.Divide ₹54 between Sneha and Priya in the ratio 5 : 1. How much does Priya get (in ₹)?

Answer key

  1. 56
  2. 31
  3. 81
  4. 35
  5. 81
  6. 66
  7. 72
  8. 18
  9. 16
  10. 20
  11. 20
  12. 18
  13. 4
  14. 16
  15. 32
  16. 12
  17. 28
  18. 32
  19. 45
  20. 200
  21. 6
  22. 65
  23. 24
  24. 16
  25. 35
  26. 270
  27. 30
  28. 84
  29. 56
  30. 49
  31. 376
  32. 20
  33. 21
  34. 132
  35. 92
  36. 30
  37. 150
  38. 28
  39. 177
  40. 9

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