Question

Ram scored $30$% marks and failed by $15$ marks. Aditya score $40$% marks and obtained $35$ marks more than those required to pass. The pass percentage is?

• A. $33$%
• B. $38$%
• C. $43$%
• D. $46$%

Answer 1

The correct option is A $33$%

Let the total no of marks for $x$

Let the passing marks for y

$\frac{30}{100}x+15=y$ ______(1)

$\frac{40}{100}x=y+35$

$\frac{40}{100}x-35=y$_______(2)

(1) - (2)

$\frac{-10x}{100}+50=0$

$\frac{10x}{100}=50\Rightarrow x=500$

$y=\frac{40}{100}\times 500-35=200-35=165$

$m\%$ of $x=y$

$\frac{m}{100}\times 500=165$

$m=33\%$