Question

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?

Answer 1

\[\text { Let the cost price of the pair of earrings be Rs . x } . \]

\[\text { Profit = 16 % } \]

\[\text { Therefore, SP } = \left( \frac{\text { Profit %  }+ 100}{100} \right) \times CP\]

\[ = \left( \frac{16 + 100}{100} \right)x\]

\[ = Rs . \frac{116x}{100}\]

\[SP - CP = 48\]

\[ \Rightarrow \frac{116x}{100} - x = 48\]

\[ \Rightarrow 16x = 4800\]

\[ \Rightarrow x = Rs . 300\]

\[SP = \frac{116x}{100} = Rs . 348\]

\[MP = \frac{100 \times SP}{100 -\text {  Discount % }}\]

\[ = \frac{34800}{75} = Rs . 464\]

\[\text { Thus, CP of the pair of earrings = Rs . x = Rs } . 300\]

\[\text { SP of the pair of earrings = Rs } . 348\]

\[\text { MP of the pair of earrings = Rs } . 464\]