17
A dealer sells an article for ₹75 and gains as much percent as the cost price of the article. Find the cost price of the article.
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Let the cost price of the article be $x$
$\therefore$ Gain % $= x$
$x = \frac{75-x}{x} \times 100$
$\Rightarrow x^2+ 100x - 7500 = 0$
$\Rightarrow (x - 50)(x + 150) = 0$
$x \ne -150 \therefore x = 50$
So, the cost price of the article is ₹50
$\therefore$ Gain % $= x$
$x = \frac{75-x}{x} \times 100$
$\Rightarrow x^2+ 100x - 7500 = 0$
$\Rightarrow (x - 50)(x + 150) = 0$
$x \ne -150 \therefore x = 50$
So, the cost price of the article is ₹50