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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 785 · 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 ₹154 between Karan and Rohan in the ratio 1 : 6. How much does Karan get (in ₹)?
  2. 2.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  3. 3.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  4. 4.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  5. 5.3 : 5 = 6 : ?
  6. 6.Divide ₹663 between Rahul and Farhan in the ratio 5 : 8. How much does Farhan get (in ₹)?
  7. 7.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  8. 8.9 : 7 = 27 : ?
  9. 9.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  10. 10.Divide ₹629 between Dev and Kabir in the ratio 9 : 8. How much does Dev get (in ₹)?
  11. 11.Divide ₹616 between Karan and Rohan in the ratio 7 : 4. How much does Rohan get (in ₹)?
  12. 12.Divide ₹156 between Rohan and Tara in the ratio 6 : 7. How much does Tara get (in ₹)?
  13. 13.6 : 4 = 54 : ?
  14. 14.Divide ₹330 between Ananya and Kavya in the ratio 1 : 9. How much does Ananya get (in ₹)?
  15. 15.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  16. 16.The ratio of boys to girls in a class is 8 : 5. There are 32 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  18. 18.Divide ₹45 between Ananya and Diya in the ratio 4 : 5. How much does Ananya get (in ₹)?
  19. 19.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  20. 20.The ratio of boys to girls in a class is 7 : 9. There are 42 boys. How many girls are there?
  21. 21.2 : 11 = 16 : ?
  22. 22.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  23. 23.Divide ₹232 between Pooja and Vivaan in the ratio 3 : 5. How much does Pooja get (in ₹)?
  24. 24.Divide ₹440 between Sneha and Manav in the ratio 1 : 7. How much does Sneha get (in ₹)?
  25. 25.Divide ₹40 between Ananya and Vivaan in the ratio 3 : 5. How much does Ananya get (in ₹)?
  26. 26.6 : 5 = 30 : ?
  27. 27.Divide ₹200 between Kavya and Farhan in the ratio 2 : 3. How much does Kavya get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  29. 29.Divide ₹90 between Diya and Kabir in the ratio 8 : 7. How much does Kabir get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?
  31. 31.3 : 14 = 27 : ?
  32. 32.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  34. 34.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  35. 35.Divide ₹110 between Nisha and Farhan in the ratio 7 : 4. How much does Farhan get (in ₹)?
  36. 36.3 : 6 = 6 : ?
  37. 37.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  38. 38.10 : 8 = 60 : ?
  39. 39.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  40. 40.Divide ₹320 between Aditya and Manav in the ratio 9 : 7. How much does Aditya get (in ₹)?

Answer key

  1. 22
  2. 18
  3. 96
  4. 28
  5. 10
  6. 408
  7. 16
  8. 21
  9. 6
  10. 333
  11. 224
  12. 84
  13. 36
  14. 33
  15. 28
  16. 20
  17. 24
  18. 20
  19. 8
  20. 54
  21. 88
  22. 27
  23. 87
  24. 55
  25. 15
  26. 25
  27. 80
  28. 12
  29. 42
  30. 70
  31. 126
  32. 42
  33. 12
  34. 20
  35. 40
  36. 12
  37. 15
  38. 48
  39. 5
  40. 180

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