If the selling price of 16 water bottles is equal to the cost price of 17 water bottles,
If the selling price of 16 water bottles is equal to the cost price of 17 water bottles, find the gain per cent earned by the dealer.
Let Rs $x$ be the SP of each bottle and Rs $y$ be the CP of each bottle.
SP of 16 bottles $=\mathrm{CP}$ of 17 bottles
$\Rightarrow 16 \mathrm{x}=17 \mathrm{y}$
$\Rightarrow \frac{\mathrm{x}}{\mathrm{y}}=\frac{17}{16}$ Gain per bottle
$=\mathrm{SP}-\mathrm{CP}$ $=\mathrm{Rs}(\mathrm{x}-\mathrm{y})$
$=\operatorname{Rs}(x-y)$
$\therefore$ Gain percentage $=\left(\frac{\text { gain }}{\text { CP }} \times 100\right) \%$
$=\left(\frac{\mathrm{x}-\mathrm{y}}{\mathrm{y}} \times 100\right) \%$
$=\left\{\left(\frac{\mathrm{x}}{\mathrm{y}}-1\right) \times 100\right\} \%$
$=\left\{\left(\frac{17}{16}-1\right) \times 100\right\} \%$
$=\left(\frac{1}{16} \times 100\right) \%$
$=6 \frac{1}{4} \%$