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Question
The list price of a table fan is Rs 480 and it is available to a retailer at 25% discount. For how much should a retailer sell it to gain 15%?
Solution
\[\text { Marked price of the table fan = Rs } . 480\]
\[\text { Discount = 25 % }\]
\[\text { Therefore, cost price = 25 % of Rs } . 480\]
\[\frac{25}{100} \times 480 = Rs . 360\]
\[\text { It is given that the profit on the table fan is 15 % } . \]
\[\text { Gain % } = \frac{\text { Gain }}{CP} \times 100\]
\[15 = \frac{\text { Gain }}{360} \times 100\]
\[\text {Gain = Rs } . 54\]
\[\text { Gain = SP - CP }\]
\[54 = SP - 360\]
\[SP = Rs . 414\]
\[\text { Thus, the retailer will sell the table fan for Rs } . 414 .\]
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