Question : At how much percent above the cost price should a trader mark his goods so that after allowing a discount of 25%, he still gains 5%?
Option 1: 35
Option 2: 32
Option 3: 50
Option 4: 40
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Correct Answer: 40
Solution :
Let the cost price be Rs. $100$.
So, the selling price is $100 + 5$ = Rs. $105$
Discount is $25$%.
Let, the marked price be $x$.
So, the selling price after the discount is $\frac{75}{100}×x=\frac{3x}{4}$
According to the question,
$\frac{3x}{4} = 105$
$\therefore x = 140$
Percentage above cost price = $\frac{140-100}{100}=40\%$
So, the trader marks his goods 40% above the cost price.
Hence, the correct answer is 40.
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