Question : A house was sold for Rs. $y$ by giving a discount of $x$% then the list price was:
Option 1: $\frac{100y}{100-x}$
Option 2: $\frac{100y}{1-\frac{x}{100}}$
Option 3: $\frac{100x}{100-y}$
Option 4: $\frac{100y}{1-x}$
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Correct Answer: $\frac{100y}{100-x}$
Solution :
Let the list price be Rs. $k$.
Discount = $y$% of list price
Selling price $=\frac{100-x}{100}×k$
$⇒y = \frac{100-x}{100}×k$
$\therefore k=\frac{100y}{100-x}$
Hence, the correct answer is $\frac{100y}{100-x}$.
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