A dealer marks his goods at 44% above the cost price and allows a discount of 75% on the marked price. What is his gain or loss percentage?
64% loss
Let the cost price be \(\text{CP} = 100\).
Marked price \(= 100 + 44\% \text{ of } 100 = 144\).
Discount \(= 75\%\) of the marked price, so selling price \(= 144 \times (1 - 0.75) = 144 \times 0.25 = 36\).
Since the selling price \(36\) is less than the cost price \(100\), there is a loss \(= 100 - 36 = 64\).
Loss percentage \(= \dfrac{64}{100} \times 100 = 64\%\).
Hence, the dealer has a 64% loss.
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Important Questions from Discount and MP
If a trader marks the price of an article 50 percent more than the cost price and allows a discount of 30 percent, then what is his profit percentage?
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