A got 30% concession on the label price of an article and sold for Rs. 8750 with 25% profit on the price he bought. The label price was = ?

Solution (By Examveda Team)

$$\eqalign{ & {\text{CP}} = {\text{Rs}}{\text{.}}\,\left( {\frac{{100}}{{125}} \times 8750} \right) \cr & \,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,7000 \cr} $$
Let the labelled price be Rs. x
Then,
$$\eqalign{ & \frac{{70}}{{100}} \times x = 7000 \cr & \therefore x = {\text{Rs}}{\text{.}}\,\left( {\frac{{7000 \times 100}}{{70}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,10000 \cr} $$