Question : A dealer purchased a washing machine for INR 9,000. He allows a discount of 10% on its marked price and still gains 10%. Find the marked price (in INR) of the machine.
Option 1: 11,000
Option 2: 12,000
Option 3: 13,000
Option 4: 10,000
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Correct Answer: 11,000
Solution :
Let the Marked Price (MP) of the machine be INR $x$.
Given: Cost Price (CP) = INR 9,000
Discount = 10% of $x$ = $\frac{x}{10}$
Selling Price (SP) = MP − Discount
$=x-\frac{x}{10} = \frac{9x}{10}$
Gain = SP − CP
⇒ $\text{10% of CP} = \frac{9x}{10} - 9000$
⇒ $900 + 9000 = \frac{9x}{10}$
⇒ $9x = 99000$
⇒ $x = 11000$
Hence, the correct answer is 11,000.
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