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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 745 · 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. 1.7 : 12 = 56 : ?
  2. 2.4 : 3 = 32 : ?
  3. 3.Divide ₹80 between Aditya and Kabir in the ratio 3 : 1. How much does Kabir get (in ₹)?
  4. 4.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  5. 5.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  7. 7.Divide ₹90 between Tara and Saanvi in the ratio 2 : 1. How much does Tara get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  9. 9.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  10. 10.Divide ₹418 between Sneha and Kavya in the ratio 6 : 5. How much does Kavya get (in ₹)?
  11. 11.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  12. 12.6 : 12 = 30 : ?
  13. 13.Divide ₹885 between Arjun and Ananya in the ratio 7 : 8. How much does Ananya get (in ₹)?
  14. 14.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  15. 15.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  17. 17.Divide ₹494 between Rahul and Kabir in the ratio 5 : 8. How much does Kabir get (in ₹)?
  18. 18.Divide ₹429 between Manav and Aditya in the ratio 5 : 8. How much does Aditya get (in ₹)?
  19. 19.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  20. 20.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  21. 21.Divide ₹64 between Diya and Isha in the ratio 1 : 3. How much does Isha get (in ₹)?
  22. 22.Divide ₹530 between Ishaan and Rohan in the ratio 3 : 7. How much does Rohan get (in ₹)?
  23. 23.7 : 15 = 56 : ?
  24. 24.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  25. 25.Divide ₹102 between Diya and Ishaan in the ratio 9 : 8. How much does Diya get (in ₹)?
  26. 26.Divide ₹164 between Rohan and Manav in the ratio 3 : 1. How much does Manav get (in ₹)?
  27. 27.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  28. 28.5 : 3 = 15 : ?
  29. 29.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  30. 30.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
  31. 31.4 : 12 = 32 : ?
  32. 32.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  33. 33.8 : 4 = 16 : ?
  34. 34.Divide ₹126 between Kavya and Zoya in the ratio 5 : 9. How much does Zoya get (in ₹)?
  35. 35.Divide ₹540 between Nisha and Vivaan in the ratio 7 : 8. How much does Nisha get (in ₹)?
  36. 36.Divide ₹44 between Priya and Aditya in the ratio 1 : 3. How much does Priya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  38. 38.Divide ₹276 between Rohan and Farhan in the ratio 7 : 5. How much does Rohan get (in ₹)?
  39. 39.Divide ₹180 between Zoya and Farhan in the ratio 1 : 4. How much does Farhan get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?

Answer key

  1. 96
  2. 24
  3. 20
  4. 81
  5. 7
  6. 8
  7. 60
  8. 9
  9. 75
  10. 190
  11. 144
  12. 60
  13. 472
  14. 54
  15. 40
  16. 24
  17. 304
  18. 264
  19. 36
  20. 72
  21. 48
  22. 371
  23. 120
  24. 32
  25. 54
  26. 41
  27. 24
  28. 9
  29. 80
  30. 15
  31. 96
  32. 28
  33. 8
  34. 81
  35. 252
  36. 11
  37. 30
  38. 161
  39. 144
  40. 8

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