Choose the correct answer from the alternatives given :
A shopkeeper listed the price of goods at $30$ % above the cost price. He sells half the stock at this price, one fourth of the stock at a discount of 15% and the remaining at $30$ % discount. His overall profit is

15 \frac{3}{8}

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15

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15 \frac{3}{5}

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15 \frac{2}{3}

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Solution

The correct option is A $15 \frac{3}{8}$
Let the cost price of goods = Rs. $100$
MP of goods = $\frac{130}{100} \times 100$ = $130$
According to the question.
= $\frac{1}{2} \times 130 + \frac{1}{4} \times \frac{85}{100} \times 130 + \frac{1}{4} \times \frac{70}{100} \times 130$
= $65 + 27.625 + 22.75 = 115.375$
Profit%= $\frac{115.375 100}{100} \times 100$
= $15.375$ = $15 \frac{3}{8}$ %

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Choose the correct answer from the alternatives given :A shopkeeper listed the price of goods at 30% above the cost price. He sells half the stock at this price, one fourth of the stock at a discount of 15% and the remaining at 30% discount. His overall profit is

The correct option is A 1538Let the cost price of goods = Rs. 100MP of goods = 130100×100 = 130According to the question.=12×130+14×85100×130+14×70100×130= 65+27.625+22.75=115.375 Profit%= 115.375100100×100=15.375 = 1538%

Choose the correct answer from the alternatives given :
A shopkeeper listed the price of goods at $30$ % above the cost price. He sells half the stock at this price, one fourth of the stock at a discount of 15% and the remaining at $30$ % discount. His overall profit is