A man buys some articles at Rs. P per dozen and sells them at Rs. $$\frac{{\text{P}}}{8}$$ per price. His profit percent is = ?

Solution(By Examveda Team)

According to the question,
Cost price of 12 articles = Rs. P
Selling price of 1 article
$$ = {\text{Rs}}{\text{.}}\frac{{\text{P}}}{8}$$
Selling price of 12 articles
$$\eqalign{ & = \frac{{\text{P}}}{8} \times 12 \cr & = \frac{3}{2}{\text{P}} \cr & {\text{Profit}} = {\text{SP}} - {\text{CP}} \cr} $$
$$\eqalign{ & = \frac{{3{\text{P}}}}{2} - {\text{P}} \cr & = \frac{{3{\text{P}} - 2{\text{P}}}}{2} \cr & = \frac{{\text{P}}}{2} \cr} $$
$$\eqalign{ & \operatorname{Profit} \% = \frac{{\text{P}}}{{\frac{2}{{\text{P}}}}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{1}{2} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 50\% \cr} $$