A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are…
A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion 5 : 6 : 7 : 8 : 9 : 10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?
2
3
4
5
Solution
Let maximum marks per paper be 100, total = 600. Overall 60% = 360. So $5x + 6x + 7x + 8x + 9x + 10x = 360$, giving $45x = 360$, $x = 8$. Marks are 40, 48, 56, 64, 72, 80. Marks below 60 (i.e. below 60%) are 40, 48, 56 - three papers.