A tradesman fixed the selling prices of goods at 30% above the cost price. He sells half of the stock at this price, one-quarter of his stock at a discount of 15% on the original selling price, and the rest at a discount of 30% on the original selling price. Find the gain per cent altogether.
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$\displaystyle 5\frac{1}{8}$%
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$\displaystyle 9\frac{3}{5}$%
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$\displaystyle 12\frac{1}{5}$%
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$\displaystyle 15\frac{3}{8}$%
D
Correct answer
Explanation
Let CP = 100. SP = 130. Half stock (50) sold at 130: Revenue = 65. Quarter (25) at 15% discount on 130 (110.5): Revenue = 27.625. Remaining quarter (25) at 30% discount on 130 (91): Revenue = 22.75. Total Revenue = 65 + 27.625 + 22.75 = 115.375. Gain = 15.375%. 15 3/8 = 15.375.