Averages

A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% marks is

  1. 2
  2. 3
  3. 4
  4. 5

Answer

Let the marks scored in five subjects be 6x, 7x, 8x, 9x and 10x.

Average score = 60%

(6x+7x+8x+9x+10x)/5 = 60%

x = 7.5

Marks obtained are 45%, 52.5%, 60%, 67.5 and 75%.

The student got more than 50% marks in more than 4 subjects.

The correct option is C.