Question

By selling $36$ oranges, a vendor suffers a loss equal to the selling price of $4$ oranges. Find his loss percent.

Answer 1

$CP$ of an oranges $=x$

$CP$ of $36$ oranges $=36x$

Let $SP$ of oranges $=s$

$\therefore SP$ of $36$ oranges $=36s$

Loss $=SP$ of $4$ oranges $=4s$

Loss $=SP-CP$

Loss $=36x-36s$

$4s=36x-36s$

$40s=36$

$\therefore s=9x/10$

Loss $\%=\frac{Loss\times 100}{CP}$

$=\frac{45\times 100}{36x}$

$=\frac{4\times 9x\times 100}{10\times 36x}$

$Loss\%=10\%$