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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 194 · 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 ₹440 between Aditya and Sneha in the ratio 5 : 3. How much does Sneha get (in ₹)?
  2. 2.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  3. 3.6 : 13 = 36 : ?
  4. 4.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  5. 5.Divide ₹387 between Kabir and Karan in the ratio 2 : 7. How much does Kabir get (in ₹)?
  6. 6.Divide ₹387 between Ishaan and Nisha in the ratio 4 : 5. How much does Nisha get (in ₹)?
  7. 7.5 : 4 = 45 : ?
  8. 8.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  9. 9.8 : 7 = 40 : ?
  10. 10.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  11. 11.Divide ₹330 between Meera and Sneha in the ratio 8 : 7. How much does Meera get (in ₹)?
  12. 12.4 : 7 = 28 : ?
  13. 13.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  14. 14.10 : 2 = 70 : ?
  15. 15.Divide ₹615 between Kabir and Diya in the ratio 8 : 7. How much does Kabir get (in ₹)?
  16. 16.7 : 5 = 35 : ?
  17. 17.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  18. 18.10 : 12 = 80 : ?
  19. 19.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  20. 20.12 : 13 = 84 : ?
  21. 21.Divide ₹144 between Manav and Ananya in the ratio 5 : 3. How much does Ananya get (in ₹)?
  22. 22.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  23. 23.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  24. 24.12 : 15 = 48 : ?
  25. 25.Divide ₹390 between Dev and Isha in the ratio 9 : 1. How much does Dev get (in ₹)?
  26. 26.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  27. 27.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  28. 28.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  29. 29.Divide ₹189 between Tara and Ishaan in the ratio 4 : 5. How much does Ishaan get (in ₹)?
  30. 30.Divide ₹308 between Vivaan and Pooja in the ratio 4 : 3. How much does Vivaan get (in ₹)?
  31. 31.3 : 4 = 9 : ?
  32. 32.7 : 12 = 56 : ?
  33. 33.Divide ₹544 between Karan and Manav in the ratio 7 : 9. How much does Manav get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  36. 36.8 : 6 = 16 : ?
  37. 37.Divide ₹80 between Arjun and Saanvi in the ratio 1 : 4. How much does Arjun get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  39. 39.Divide ₹110 between Aarav and Zoya in the ratio 2 : 3. How much does Zoya get (in ₹)?
  40. 40.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).

Answer key

  1. 165
  2. 24
  3. 78
  4. 63
  5. 86
  6. 215
  7. 36
  8. 72
  9. 35
  10. 32
  11. 176
  12. 49
  13. 81
  14. 14
  15. 328
  16. 25
  17. 72
  18. 96
  19. 80
  20. 91
  21. 54
  22. 100
  23. 81
  24. 60
  25. 351
  26. 54
  27. 125
  28. 12
  29. 105
  30. 176
  31. 12
  32. 96
  33. 306
  34. 63
  35. 6
  36. 12
  37. 16
  38. 9
  39. 66
  40. 8

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