Question

A candidate who gets $20\%$ marks in an examination fails by $30$ marks but another candidate who gets $32\%$ gets $42$ marks more than the pass marks. The percentage of pass mark is

• A. $52\%$
• B. $50\%$
• C. $33\%$
• D. $25\%$

Answer 1

Answer: (D)

Let the maximum marks be $M$

Then Pass marks $=20\%$ of $M+30=32\%$ of $M-42$
$\Rightarrow 12\%$ of $M=72$

$\Rightarrow M=\frac{72\times 100}{12}=600$
$\therefore$ Pass marks $=20\%$ of $600+30=$$600\times \frac{20}{100}$ $+30=150$
$\therefore$ Percentage of pass marks $=\frac{150}{600}\times 100\%=25\%$