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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 491 · 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.Divide ₹676 between Manav and Farhan in the ratio 7 : 6. How much does Farhan get (in ₹)?
  2. 2.Divide ₹224 between Manav and Aditya in the ratio 9 : 7. How much does Aditya get (in ₹)?
  3. 3.Divide ₹396 between Diya and Kavya in the ratio 8 : 1. How much does Diya get (in ₹)?
  4. 4.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  5. 5.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  6. 6.5 : 7 = 40 : ?
  7. 7.Divide ₹155 between Kabir and Isha in the ratio 2 : 3. How much does Isha get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  9. 9.5 : 8 = 30 : ?
  10. 10.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  11. 11.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  12. 12.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  13. 13.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  14. 14.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  15. 15.Divide ₹184 between Pooja and Aarav in the ratio 3 : 1. How much does Pooja get (in ₹)?
  16. 16.Divide ₹96 between Farhan and Ananya in the ratio 7 : 5. How much does Ananya get (in ₹)?
  17. 17.9 : 15 = 27 : ?
  18. 18.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  19. 19.Divide ₹300 between Nisha and Dev in the ratio 7 : 8. How much does Nisha get (in ₹)?
  20. 20.3 : 2 = 24 : ?
  21. 21.Divide ₹429 between Diya and Zoya in the ratio 2 : 9. How much does Zoya get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  24. 24.6 : 3 = 24 : ?
  25. 25.Divide ₹371 between Tara and Kavya in the ratio 2 : 5. How much does Tara get (in ₹)?
  26. 26.Divide ₹76 between Vivaan and Manav in the ratio 1 : 3. How much does Vivaan get (in ₹)?
  27. 27.Divide ₹450 between Rahul and Sneha in the ratio 8 : 7. How much does Rahul get (in ₹)?
  28. 28.12 : 3 = 60 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  30. 30.Divide ₹234 between Aditya and Kabir in the ratio 5 : 8. How much does Kabir get (in ₹)?
  31. 31.Divide ₹574 between Pooja and Zoya in the ratio 5 : 9. How much does Zoya get (in ₹)?
  32. 32.12 : 11 = 48 : ?
  33. 33.Divide ₹504 between Rohan and Ishaan in the ratio 2 : 7. How much does Rohan get (in ₹)?
  34. 34.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  35. 35.5 : 9 = 25 : ?
  36. 36.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  37. 37.Divide ₹70 between Ishaan and Vivaan in the ratio 3 : 2. How much does Vivaan get (in ₹)?
  38. 38.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  39. 39.10 : 15 = 80 : ?
  40. 40.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?

Answer key

  1. 312
  2. 98
  3. 352
  4. 45
  5. 18
  6. 56
  7. 93
  8. 12
  9. 48
  10. 36
  11. 8
  12. 16
  13. 28
  14. 40
  15. 138
  16. 40
  17. 45
  18. 32
  19. 140
  20. 16
  21. 351
  22. 24
  23. 8
  24. 12
  25. 106
  26. 19
  27. 240
  28. 15
  29. 81
  30. 144
  31. 369
  32. 44
  33. 112
  34. 24
  35. 45
  36. 200
  37. 28
  38. 225
  39. 120
  40. 56

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