Question

If the selling price of $5$ articles is equal to the cost price of $6$ articles, find the profit or loss per cent.

Answer 1

Let the cost price be $x.$

C.P of $5$ articles $=5x$

SP of $5$ articles $=$ CP of $6$ articles

SP of $5$ articles $=6x$

Clearly, since $SP>CP$ for $5$ articles, therefore there is profit

Profit (on $5$ articles) $\%=\frac{SP-CP}{CP}\times 100$

$=\frac{6x-5x}{5x}\times 100$

$=\frac{1}{5}\times 100$

$=20\%$.