Question

what is maximum percentage discount that a merchant can offer on his marked price so that he ends up selling at no profit or loss, if he had initially marked his goods up by 50% ?

A) 20.29%
B) 25.27%
C) 33.33%
D) 37.37%

please answer in full explanation

Answer 1

HEY!!!!



Let cost price is 100
Then, the marked price is 150

Let the maximum discount  percentage = x% at which there is no loss

Then,
$\dfrac{150(100-x)}{100}=100\\
\dfrac{3(100-x)}{2}=100\\
100-x=\dfrac{200}{3}\\
x=100-\dfrac{200}{3}=\dfrac{100}{3}=33\dfrac{1}{3}$

maximum discount  percentage = $33\dfrac{1}{3}\%$