A shopkeeper listed the price of goods at 30% above the cost price. He sells half of the stock at listed price, one forth of the stock at a discount of 15% and the remaining at 30% discount. His overall profit is = ?

Solution(By Examveda Team)

Let cost price of article = Rs. 100
Marked of each article
$$\eqalign{ & {\text{ = }}\frac{{130}}{{100}} \times {\text{100 }} \cr & {\text{ = Rs}}{\text{. 130}} \cr} $$
For first 2 items, S.P. = 130 × 2 = 260
For the next item, discount = 15%
$$ \Rightarrow \frac{{15}}{{100}} \times 130 = 19.5$$
$$⇒$$ S.P. for the next item = 130 - 19.5 = 110.5
Discount for final item = 30%
$$ \Rightarrow \frac{{30}}{{100}} \times 130 = 39$$
$$⇒$$ S.P. for final item = 130 - 39 = 91
Let number of article to be sold = 4 at the rate of Rs. 130 each
= Total selling price
= 260 + 110.5 + 91 = Rs. 461.5
Total cost price = 4 × 100 = 400
$$\eqalign{ & \Leftrightarrow {\text{Profit }}\% \cr & = \frac{{461.5 - 400}}{{400}} \times 100 \cr & = {\text{ }}15\frac{3}{8}\% \cr} $$