Question

A shopkeeper allow a cash discount of $12.5$% on a machine. A customer pay an amount of Rs $497.50$ for a machine. At price is the machine listed?

Answer 1

Let the listed price of machine be $x$

$x-12.5$% of $x=497.50$

$\Rightarrow$ $x-\frac{12.5}{100}x=497.50$

$\Rightarrow$ $100x-12.5x=49750$

$\Rightarrow$ $87.5x=49750$

$\Rightarrow$ $x=\frac{49750}{87.5}$

$x=568.5Rs$