Question

On selling an article for $Rs.329,$ a dealer lost $6\%.$ The cost price of the article is

(a) $Rs.310.37$
(b) $Rs.348.74$
(c) $Rs.335$
(d) $Rs.350$

Answer 1

The correct option is (d): $Rs.350$

Given, $SP=Rs.329$, and $loss\%=6\%$

We know that,

$Loss\%=\frac{Loss}{CP}\times 100$

$\Rightarrow 6=\frac{CP-SP}{CP}\times 100$ [$\because$ $loss=CP-SP$ ]

$\Rightarrow 6CP=100(CP-SP)$

$\Rightarrow \frac{6}{100}CP=CP-SP$

$\Rightarrow CP-\frac{6}{100}CP=329$ [$\because$ $SP=Rs.329$, given]

$\Rightarrow \frac{94}{100}CP=329$

$\Rightarrow CP=\frac{329\times 100}{94}$

$\therefore CP=Rs.350$