Question:
By selling 45 lemons, a vendor loses a sum equal to the selling price of 3 lemons. Find his loss per cent.
Solution:
Let Rs $x$ be the SP of one lemon.
SP of 45 lemons $=$ Rs. $45 x$
Loss $=\mathrm{SP}$ of 3 lemons $=$ Rs. $3 x$
But loss $=\mathrm{CP}-\mathrm{SP}$
$\mathrm{CP}=$ loss $+\mathrm{SP}$
$=3 x+45 x$
$=$ Rs. $48 x$
$\therefore$ Loss percentage $=\left(\frac{\text { loss }}{\mathrm{CP}} \times 100\right) \%$
$=\left(\frac{3 x}{48 x} \times 100\right) \%$
$=6 \frac{1}{4} \%$