Question

In an examination, a candidate secured $125$ marks and failed by $15$ marks. If the pass percentage was $35\%$; find the maximum marks.

Answer 1

Total marks secured $=125$
Failed by $15$ marks
$\therefore$ Pass marks $=125+15=140$
Let Maximum marks $=x$
Since pass percentage is $35\%$
So, $35\%\text{of}x=140$
$\frac{35}{100}x=140$
$\Rightarrow \frac{35x}{100}=140$
$\Rightarrow x=\frac{140\times 100}{35}=4\times 100=400$
Hence, maximum marks $=400$