Question

A shopkeeper can make a profit of $6$ $\%$ by selling the suitcase for $Rs.$ $2864$ price should be sell it to make a profit of $10$ $\%$?

Answer 1

Given $\to$ $profit\%=6\%$

Selling price $=Rs.2864$

To find = selling price to make a profit of $10\%$

Profit % = $\frac{S.P-C.P}{C.P}\times 100$

$6=\frac{2864-CP}{CP}\times 100$

$6CP=286400-100CP$

$106CP=286400$

$CP=\frac{286400}{106}$

To get a profit of $10\%$

$\frac{SP}{CP}=P\%+1$

$\Rightarrow SP=(\frac{10}{100}+1)CP=\frac{110}{100}\times \frac{286400}{106}$

$SP=Rs2972.07$