Question

A student took fine papers in an examination where the full marks were the same for each paper. His marks in these papers were 6:7:8:9. He obtained $\left(\frac{3}{5}\right)$ part of the total full marks. Then the numbers of papers in which he got more than 50 marks is ___

Answer 1

Let the marks scored in five subjects be $6x,7x,8x,9x$ and $10x$.
Average score = $60\%$
$\frac{6x+7x+8x+9x+10x}{5}=60\%$
$x=7.5$
Marks obtained are $45\%,52.5\%,60\%,67.5\%$ and $75\%$.
The student got more than $50\%$ marks in more than 4 subjects.