Question

A $VCR$ and $TV$ were bought for $Rs8,000$ each. The shop keeper made a loss of $4\%$ on the $VCR$ and profit of $8\%$ on $TV$. Find the gain or loss percent on the whole transaction.

Answer 1

Given $CP$ of $VCR=Rs.8000$
loss on $VCR=4\%$ of $CP$
$=\frac{4}{100}\times 8000$
$=Rs.320$
$CP$ of TV $=Rs.8000$
Profit on TV $=\frac{8}{100}\times 8000$
$=Rs.640$
Since, profit amount $>$ loss amount.
So, shopkeeper got profit.
$\therefore$ Profit on whole transaction $=Rs.(640-320)$
$=Rs.320$

$\therefore$ Profit percentage $=\frac{\text{profit amount}}{\text{total cost amount}}\times 100$
$=\frac{320}{8000+8000}\times 100$

$=\frac{320}{16000}\times 100$

$=2\%$