A shopkeeper allows 25% discount on his advertised price and to make a profit 25% on his outlay. What is the advertised price (in Rs.) on which he gains Rs. 6000?

Solution(By Examveda Team)

$${\text{Let Cost price}} = 100$$
\[\begin{gathered} {\text{CP }}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{SP}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ MP}} \hfill \\ 100\,\,\xrightarrow[{{\text{Profit}}}]{}\,\,125\,\,\xleftarrow[{ - 25\% }]{}x \hfill \\ \end{gathered} \]
$$\eqalign{ & {\text{Profit}} = 125 - 100 = 25{\text{ units}} \cr & {\text{MP}} = x = \frac{{75}}{{100}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 125 \cr & {\text{MP}} = x = \frac{{500}}{3}{\text{ units}} \cr & \because {\text{ 25 units}} = 6000 \cr & \therefore {\text{MP}} = \frac{{500}}{3}{\text{ units}} \cr & {\text{ = }}\frac{{500}}{3} \times \frac{{6000}}{{25}} \cr & = {\text{Rs}}{\text{.}}\,40000 \cr} $$