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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 90 · 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 : 7. There are 10 boys. How many girls are there?
  2. 2.2 : 5 = 8 : ?
  3. 3.2 : 9 = 18 : ?
  4. 4.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  5. 5.5 : 3 = 45 : ?
  6. 6.Divide ₹279 between Isha and Zoya in the ratio 5 : 4. How much does Isha get (in ₹)?
  7. 7.2 : 15 = 14 : ?
  8. 8.Divide ₹464 between Aarav and Ananya in the ratio 3 : 5. How much does Aarav get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  10. 10.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  11. 11.Divide ₹45 between Saanvi and Aditya in the ratio 1 : 4. How much does Aditya get (in ₹)?
  12. 12.Divide ₹51 between Ananya and Farhan in the ratio 2 : 1. How much does Ananya get (in ₹)?
  13. 13.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  14. 14.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  15. 15.10 : 15 = 50 : ?
  16. 16.Divide ₹351 between Sneha and Pooja in the ratio 2 : 7. How much does Sneha get (in ₹)?
  17. 17.5 : 14 = 40 : ?
  18. 18.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  19. 19.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  20. 20.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  21. 21.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
  22. 22.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  23. 23.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  24. 24.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  25. 25.Divide ₹98 between Tara and Ananya in the ratio 2 : 5. How much does Ananya get (in ₹)?
  26. 26.Divide ₹517 between Manav and Rahul in the ratio 5 : 6. How much does Rahul get (in ₹)?
  27. 27.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  28. 28.Divide ₹492 between Tara and Nisha in the ratio 5 : 7. How much does Nisha get (in ₹)?
  29. 29.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  30. 30.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  31. 31.Divide ₹248 between Pooja and Farhan in the ratio 1 : 7. How much does Pooja get (in ₹)?
  32. 32.7 : 14 = 63 : ?
  33. 33.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  34. 34.Divide ₹48 between Tara and Arjun in the ratio 1 : 3. How much does Tara get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 7 : 6. There are 42 boys. How many girls are there?
  36. 36.10 : 5 = 30 : ?
  37. 37.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  38. 38.Divide ₹594 between Kabir and Kavya in the ratio 6 : 5. How much does Kabir get (in ₹)?
  39. 39.Divide ₹176 between Isha and Kavya in the ratio 1 : 7. How much does Kavya get (in ₹)?
  40. 40.Divide ₹215 between Ishaan and Saanvi in the ratio 2 : 3. How much does Ishaan get (in ₹)?

Answer key

  1. 35
  2. 20
  3. 81
  4. 125
  5. 27
  6. 155
  7. 105
  8. 174
  9. 16
  10. 36
  11. 36
  12. 34
  13. 12
  14. 10
  15. 75
  16. 78
  17. 112
  18. 12
  19. 144
  20. 18
  21. 15
  22. 32
  23. 18
  24. 175
  25. 70
  26. 282
  27. 81
  28. 287
  29. 16
  30. 225
  31. 31
  32. 126
  33. 50
  34. 12
  35. 36
  36. 15
  37. 80
  38. 324
  39. 154
  40. 86

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