By selling a pair of earings at a discount of 25% on the marked price, a jeweller makes a profit of 16%.
By selling a pair of earings at a discount of 25% on the marked price, a jeweller makes a profit of 16%. If the profit is Rs 48, what is the cost price? What is the marked price and the price at which the pair was eventually bought?
Let the cost price of the pair of earrings be Rs. $\mathrm{x}$.
Profit $=16 \%$
Therefore, $\mathrm{SP}=\left(\frac{\text { Profit } \%+100}{100}\right) \times \mathrm{CP}$
$=\left(\frac{16+100}{100}\right) \mathrm{x}$
$=R s . \frac{116 \mathrm{x}}{100}$
$\mathrm{SP}-\mathrm{CP}=48$
$\Rightarrow \frac{116 \mathrm{x}}{100}-\mathrm{x}=48$
$\Rightarrow 16 \mathrm{x}=4800$
$\Rightarrow \mathrm{x}=$ Rs. 300
$\mathrm{SP}=\frac{116 \mathrm{x}}{100}=$ Rs. 348
$\mathrm{MP}=\frac{100 \times \mathrm{SP}}{100-\text { Discount } \%}$
$=\frac{34800}{75}=$ Rs. 464
Thus, CP of the pair of earrings $=$ Rs. $\mathrm{x}=$ Rs. 300
SP of the pair of earrings $=$ Rs. 348
MP of the pair of earrings $=$ Rs. 464