Question : Manoj marked his goods 30% above the cost price and gave a 12% discount to the customers. The profit or loss percentage is:
Option 1: 14.8% loss
Option 2: 15.4% profit
Option 3: 14.4% profit
Option 4: 15% loss
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Correct Answer: 14.4% profit
Solution :
Let the cost price be $x$.
Manoj marked his goods 30% above the cost price.
So, the marked price $=\frac{130}{100}x=\frac{13x}{10}$
He then gave a 12% discount on the marked price.
The selling price $=\frac{100-12}{100}×\frac{13x}{10}=\frac{143x}{125}$
Since the selling price is more than the cost price, Manoj made a profit.
Profit percentage = $\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100=\frac{\frac{143x}{125}-x}{x}×100=\frac{18x}{125x}×100= 14.4\%$
Hence, the correct answer is a 14.4% profit.
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