Multiple choice

The ratio of marks obtained by Deepak and Naimish is 6:5. If the combined average of their percentage is 68.75 and their sum of the marks is 275, find the total marks for which exam was conducted.

  1. 200

  2. 250

  3. 300

  4. 350

  5. 275

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let marks be 6x and 5x. Sum = 11x = 275, so x = 25. Deepak = 150, Naimish = 125. Average percentage = 68.75%, so (150 + 125)/2 = 137.5 is 68.75% of total marks. Total marks = 137.5/0.6875 = 200. Check: 150/200 = 75%, 125/200 = 62.5%, average = 68.75%. Verified.