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 = ?

Answer: Option A

Let cost price of article = Rs. 100
Marked of each article
$$\begin{array}{rl}& \text{ = }\frac{130}{100}\times \text{100 }\\ & \text{ = Rs}\text{. 130}\end{array}$$
For first 2 items, S.P. = 130 × 2 = 260
For the next item, discount = 15%
$$\Rightarrow \frac{15}{100}\times 130=19.5$$
$$\Rightarrow$$ S.P. for the next item = 130 - 19.5 = 110.5
Discount for final item = 30%
$$\Rightarrow \frac{30}{100}\times 130=39$$
$$\Rightarrow$$ 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
$$\begin{array}{rl}& \iff \text{Profit }\%\\ & =\frac{461.5-400}{400}\times 100\\ & =15\frac{3}{8}\%\end{array}$$