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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 410 · 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 2 : 5. There are 18 boys. How many girls are there?
  2. 2.11 : 2 = 44 : ?
  3. 3.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  4. 4.The ratio of boys to girls in a class is 6 : 1. There are 12 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 2 : 5. There are 16 boys. How many girls are there?
  7. 7.Divide ₹688 between Pooja and Ishaan in the ratio 7 : 9. How much does Ishaan get (in ₹)?
  8. 8.Divide ₹210 between Aditya and Sneha in the ratio 8 : 7. How much does Sneha get (in ₹)?
  9. 9.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  10. 10.The ratio of boys to girls in a class is 5 : 4. There are 20 boys. How many girls are there?
  11. 11.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  12. 12.Divide ₹40 between Sneha and Vivaan in the ratio 1 : 4. How much does Vivaan get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  15. 15.7 : 11 = 35 : ?
  16. 16.Divide ₹440 between Aditya and Saanvi in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  17. 17.Divide ₹702 between Arjun and Isha in the ratio 6 : 7. How much does Isha get (in ₹)?
  18. 18.Divide ₹65 between Priya and Isha in the ratio 2 : 3. How much does Isha get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 4 : 9. There are 24 boys. How many girls are there?
  20. 20.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  21. 21.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  22. 22.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  23. 23.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  24. 24.12 : 4 = 84 : ?
  25. 25.Divide ₹135 between Aditya and Sneha in the ratio 5 : 4. How much does Aditya get (in ₹)?
  26. 26.Divide ₹343 between Sneha and Rohan in the ratio 2 : 5. How much does Sneha get (in ₹)?
  27. 27.9 : 10 = 72 : ?
  28. 28.Divide ₹180 between Aditya and Kavya in the ratio 8 : 7. How much does Aditya get (in ₹)?
  29. 29.Divide ₹105 between Aditya and Diya in the ratio 2 : 3. How much does Aditya get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  31. 31.Divide ₹322 between Sneha and Rahul in the ratio 9 : 5. How much does Rahul get (in ₹)?
  32. 32.12 : 15 = 96 : ?
  33. 33.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  34. 34.5 : 8 = 35 : ?
  35. 35.11 : 9 = 77 : ?
  36. 36.6 : 3 = 18 : ?
  37. 37.Divide ₹375 between Kabir and Ananya in the ratio 8 : 7. How much does Kabir get (in ₹)?
  38. 38.2 : 6 = 12 : ?
  39. 39.4 : 10 = 12 : ?
  40. 40.Divide ₹161 between Tara and Saanvi in the ratio 4 : 3. How much does Saanvi get (in ₹)?

Answer key

  1. 45
  2. 8
  3. 175
  4. 2
  5. 150
  6. 40
  7. 387
  8. 98
  9. 32
  10. 16
  11. 24
  12. 32
  13. 28
  14. 8
  15. 55
  16. 385
  17. 378
  18. 39
  19. 54
  20. 45
  21. 30
  22. 8
  23. 48
  24. 28
  25. 75
  26. 98
  27. 80
  28. 96
  29. 42
  30. 7
  31. 115
  32. 120
  33. 6
  34. 56
  35. 63
  36. 9
  37. 200
  38. 36
  39. 30
  40. 69

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