QUESTION

CSAT

Easy

Reasoning

Prelims 2021

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?

Select an option to attempt

Explanation

Let total marks in each subject be 100.

Therefore, total marks for all 6 subjects = 600

Overall marks scored = $60\%$ of $600 = 360$

According to the question,

$5x + 6x + 7x + 8x + 9x + 10x = 360$ or $45x = 360$ or $x = 8$

So, marks in the given 6 subjects must be: $5 \times 8 = 40$ $6 \times 8 = 48$ $7 \times 8 = 56$ $8 \times 8 = 64$ $9 \times 8 = 72$ $10 \times 8 = 80$