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1. A tradesman fixed his selling price of goods at 30% above the cost price. He sells half the stock at this price, one-quarter of his stock at a discount of 15% on the original selling price and rest at a discount of 30% on the original selling price. Find the gain percentage altogether?

A. 14.875%

B. 15.375%

C. 15.575%

D. 16.375%

Solution:

Let CP = 100; then marked price = 130;
Now, revenue

= \frac{1}{2} \times 130 + \frac{1}{4} \times 0.85 \times 130 + \frac{1}{4} \times 0.7 \times 130

\begin{aligned} = 65 + 27.65 + 22.5 \\ = 115.4 \\ % profit = \frac{15.4 \times 100}{100} \\ = 15.4 % \end{aligned}

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