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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 141 · 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.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  2. 2.Divide ₹484 between Rahul and Pooja in the ratio 2 : 9. How much does Rahul get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  4. 4.7 : 8 = 35 : ?
  5. 5.Divide ₹243 between Aarav and Farhan in the ratio 5 : 4. How much does Farhan get (in ₹)?
  6. 6.4 : 2 = 8 : ?
  7. 7.7 : 13 = 63 : ?
  8. 8.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  9. 9.11 : 2 = 66 : ?
  10. 10.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  11. 11.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  12. 12.Divide ₹90 between Aditya and Pooja in the ratio 2 : 1. How much does Aditya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  15. 15.7 : 12 = 21 : ?
  16. 16.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  17. 17.7 : 13 = 49 : ?
  18. 18.Divide ₹544 between Saanvi and Rahul in the ratio 8 : 9. How much does Saanvi get (in ₹)?
  19. 19.Divide ₹125 between Pooja and Diya in the ratio 3 : 2. How much does Pooja get (in ₹)?
  20. 20.Divide ₹169 between Rohan and Farhan in the ratio 8 : 5. How much does Rohan get (in ₹)?
  21. 21.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  22. 22.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  23. 23.Divide ₹510 between Isha and Farhan in the ratio 1 : 9. How much does Farhan get (in ₹)?
  24. 24.Divide ₹260 between Sneha and Rahul in the ratio 1 : 9. How much does Sneha get (in ₹)?
  25. 25.6 : 7 = 18 : ?
  26. 26.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  27. 27.Divide ₹60 between Aditya and Vivaan in the ratio 4 : 1. How much does Vivaan get (in ₹)?
  28. 28.10 : 14 = 70 : ?
  29. 29.Divide ₹616 between Arjun and Pooja in the ratio 7 : 4. How much does Arjun get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  31. 31.7 : 5 = 35 : ?
  32. 32.Divide ₹221 between Rohan and Aarav in the ratio 6 : 7. How much does Aarav get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  38. 38.10 : 15 = 70 : ?
  39. 39.10 : 14 = 40 : ?
  40. 40.Divide ₹72 between Karan and Kavya in the ratio 3 : 5. How much does Kavya get (in ₹)?

Answer key

  1. 2
  2. 88
  3. 60
  4. 40
  5. 108
  6. 4
  7. 117
  8. 18
  9. 12
  10. 80
  11. 200
  12. 60
  13. 21
  14. 21
  15. 36
  16. 14
  17. 91
  18. 256
  19. 75
  20. 104
  21. 28
  22. 16
  23. 459
  24. 26
  25. 21
  26. 36
  27. 12
  28. 98
  29. 392
  30. 6
  31. 25
  32. 119
  33. 24
  34. 56
  35. 12
  36. 63
  37. 56
  38. 105
  39. 56
  40. 45

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