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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 938 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  2. 2.Divide ₹520 between Priya and Ishaan in the ratio 5 : 8. How much does Ishaan get (in ₹)?
  3. 3.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  4. 4.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  5. 5.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  6. 6.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  7. 7.4 : 11 = 12 : ?
  8. 8.The ratio of boys to girls in a class is 7 : 4. There are 56 boys. How many girls are there?
  9. 9.5 : 4 = 30 : ?
  10. 10.Divide ₹429 between Ananya and Isha in the ratio 7 : 4. How much does Ananya get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  12. 12.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  13. 13.8 : 6 = 64 : ?
  14. 14.11 : 7 = 99 : ?
  15. 15.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  16. 16.6 : 4 = 30 : ?
  17. 17.10 : 4 = 80 : ?
  18. 18.Divide ₹54 between Farhan and Tara in the ratio 1 : 2. How much does Farhan get (in ₹)?
  19. 19.3 : 5 = 12 : ?
  20. 20.Divide ₹363 between Zoya and Nisha in the ratio 9 : 2. How much does Nisha get (in ₹)?
  21. 21.12 : 11 = 96 : ?
  22. 22.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  23. 23.Divide ₹290 between Tara and Farhan in the ratio 7 : 3. How much does Tara get (in ₹)?
  24. 24.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  25. 25.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  26. 26.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  27. 27.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  28. 28.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  29. 29.12 : 4 = 72 : ?
  30. 30.Divide ₹261 between Sneha and Aditya in the ratio 1 : 8. How much does Sneha get (in ₹)?
  31. 31.Divide ₹795 between Saanvi and Ishaan in the ratio 7 : 8. How much does Ishaan get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  33. 33.Divide ₹216 between Aditya and Rohan in the ratio 7 : 1. How much does Aditya get (in ₹)?
  34. 34.Divide ₹65 between Sneha and Zoya in the ratio 9 : 4. How much does Sneha get (in ₹)?
  35. 35.Divide ₹387 between Farhan and Priya in the ratio 2 : 7. How much does Priya get (in ₹)?
  36. 36.3 : 7 = 12 : ?
  37. 37.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  38. 38.Divide ₹294 between Karan and Kabir in the ratio 3 : 4. How much does Kabir get (in ₹)?
  39. 39.Divide ₹328 between Meera and Nisha in the ratio 5 : 3. How much does Meera get (in ₹)?
  40. 40.Divide ₹280 between Dev and Arjun in the ratio 4 : 1. How much does Arjun get (in ₹)?

Answer key

  1. 4
  2. 320
  3. 80
  4. 5
  5. 150
  6. 12
  7. 33
  8. 32
  9. 24
  10. 273
  11. 36
  12. 63
  13. 48
  14. 63
  15. 144
  16. 20
  17. 32
  18. 18
  19. 20
  20. 66
  21. 88
  22. 81
  23. 203
  24. 128
  25. 4
  26. 32
  27. 200
  28. 45
  29. 24
  30. 29
  31. 424
  32. 14
  33. 189
  34. 45
  35. 301
  36. 28
  37. 30
  38. 168
  39. 205
  40. 56

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