Deepak sold a study table for Rs. $2231$ at a loss of $3$ %. At what price should he sell it so as to gain $5$ %.

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Solution

Let cost price of study table be $C P$ . It is sold at loss $3 %$

$\Rightarrow 2231 = (\frac{100 - 3}{100}) \times C P$

$\Rightarrow 2231 = \frac{97}{100} \times C P$

$\Rightarrow C P = R s .2300$

Let the price to sell at gain of $5 %$ be $S P$

$\Rightarrow S P = 2300 + (0.05 \times 2300)$

$\Rightarrow S P = 1.05 \times 2300 = 2415$

$\Rightarrow S P = R s .2415$

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