A dealer sells a packet of cookies at Rs. 120 after giving a 25% discount on the marked price. If the profit earned is 20%, find the cost price.
Rs. 100
The selling price (after the discount) is given as Rs. 120, and this sale yields a profit of 20% over the cost price.
Using \(\text{SP} = \text{CP} \times \left(1 + \frac{\text{Profit}\%}{100}\right)\), we have \(120 = \text{CP} \times \left(1 + \frac{20}{100}\right) = \text{CP} \times \frac{6}{5}\).
Solving for the cost price: \(\text{CP} = 120 \times \frac{5}{6} = 100\).
(The 25% discount only fixes the marked price as \(120 \div 0.75 = 160\), which is not needed to find the cost price.)
Hence, the cost price is Rs. 100.
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