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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 945 · 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 8 and 16 (that is, 8 : 16 = 16 : ?).
  2. 2.Divide ₹147 between Kavya and Priya in the ratio 1 : 2. How much does Priya get (in ₹)?
  3. 3.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  4. 4.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  5. 5.Divide ₹424 between Tara and Farhan in the ratio 1 : 7. How much does Farhan get (in ₹)?
  6. 6.6 : 13 = 42 : ?
  7. 7.Divide ₹928 between Saanvi and Rohan in the ratio 9 : 7. How much does Rohan get (in ₹)?
  8. 8.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  9. 9.Divide ₹24 between Kabir and Zoya in the ratio 3 : 1. How much does Kabir get (in ₹)?
  10. 10.Divide ₹210 between Saanvi and Aditya in the ratio 5 : 1. How much does Aditya get (in ₹)?
  11. 11.11 : 6 = 55 : ?
  12. 12.The ratio of boys to girls in a class is 8 : 9. There are 80 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  14. 14.Divide ₹243 between Nisha and Arjun in the ratio 7 : 2. How much does Arjun get (in ₹)?
  15. 15.Divide ₹462 between Vivaan and Farhan in the ratio 9 : 5. How much does Farhan get (in ₹)?
  16. 16.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  17. 17.9 : 15 = 45 : ?
  18. 18.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 5 : 9. There are 25 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  21. 21.Divide ₹80 between Isha and Farhan in the ratio 4 : 1. How much does Isha get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
  23. 23.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  24. 24.Divide ₹195 between Nisha and Ishaan in the ratio 4 : 1. How much does Ishaan get (in ₹)?
  25. 25.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  26. 26.2 : 6 = 4 : ?
  27. 27.Divide ₹357 between Sneha and Farhan in the ratio 2 : 5. How much does Farhan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 6 : 7. There are 12 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  31. 31.Divide ₹78 between Arjun and Farhan in the ratio 2 : 1. How much does Arjun get (in ₹)?
  32. 32.Divide ₹300 between Rahul and Meera in the ratio 1 : 4. How much does Meera get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  35. 35.5 : 6 = 40 : ?
  36. 36.3 : 14 = 12 : ?
  37. 37.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  38. 38.4 : 13 = 28 : ?
  39. 39.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  40. 40.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?

Answer key

  1. 32
  2. 98
  3. 54
  4. 225
  5. 371
  6. 91
  7. 406
  8. 128
  9. 18
  10. 35
  11. 30
  12. 90
  13. 40
  14. 54
  15. 165
  16. 175
  17. 75
  18. 12
  19. 45
  20. 70
  21. 64
  22. 35
  23. 12
  24. 39
  25. 48
  26. 12
  27. 255
  28. 14
  29. 20
  30. 63
  31. 52
  32. 240
  33. 9
  34. 36
  35. 48
  36. 56
  37. 20
  38. 91
  39. 45
  40. 18

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