A man buys 300 dozen of bananas for Rs. 3,600 | vedclass

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Question

(A) Total cost price $(CP)$ = $Rs. 3,600$.Cost price of $1/3$ of the stock = $\frac{1}{3} 	imes 3,600 = Rs. 1,200$.Cost price of $2/3$ of the stock =

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$\frac{10}{3}\%$ gain

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(A) Total cost price $(CP)$ = $Rs. 3,600$.Cost price of $1/3$ of the stock = $\frac{1}{3} 	imes 3,600 = Rs. 1,200$.Cost price of $2/3$ of the stock = $\frac{2}{3} 	imes 3,600 = Rs. 2,400$.Selling price $(SP)$ of $1/3$ stock at $10\%$ loss = $1,200 	imes (1 - 0.10) = 1,200 	imes 0.9 = Rs. 1,080$.Selling price $(SP)$ of $2/3$ stock at $10\%$ gain = $2,400 	imes (1 + 0.10) = 2,400 	imes 1.1 = Rs. 2,640$.Total $SP = 1,080 + 2,640 = Rs. 3,720$.Total profit = $Total SP - Total CP = 3,720 - 3,600 = Rs. 120$.Overall profit percentage = $(\frac{Profit}{Total CP}) 	imes 100 = (\frac{120}{3,600}) 	imes 100 = \frac{1}{30} 	imes 100 = \frac{10}{3}\%$. Since the result is positive,it is a gain of $\frac{10}{3}\%$.

$A$ man buys $300$ dozen of bananas for $Rs. 3,600$. He sold $1/3$ of the stock at a loss of $10\%$ and the remaining $2/3$ of the stock at a gain of $10\%$. Find his overall percent profit or loss.

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