A man buys 100 , kg of sugar for Rs. , 2400. | vedclass

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(D) Total cost price = $Rs. \, 2400$.Total desired profit = $20 \% 	ext{ of } 2400 = 0.20 	imes 2400 = Rs. \, 480$.Quantity sold at $5 \% 	ext{ los

Vedclass · Accepted Answer

$28 \frac{1}{3}$

Vedclass · Answer

(D) Total cost price = $Rs. \, 2400$.Total desired profit = $20 \% 	ext{ of } 2400 = 0.20 	imes 2400 = Rs. \, 480$.Quantity sold at $5 \% 	ext{ loss} = 1/4 	imes 100 \, kg = 25 \, kg$.Cost price of $25 \, kg = 1/4 	imes 2400 = Rs. \, 600$.Loss on $25 \, kg = 5 \% 	ext{ of } 600 = 0.05 	imes 600 = Rs. \, 30$.Remaining quantity = $100 - 25 = 75 \, kg$.Remaining cost price = $2400 - 600 = Rs. \, 1800$.Let the required profit percentage on the remaining stock be $P$.Profit needed on remaining stock = $Rs. \, 480 + Rs. \, 30 = Rs. \, 510$.$P = (510 / 1800) 	imes 100 = 510 / 18 = 28.33 \% = 28 \frac{1}{3} \%$.

$A$ man buys $100 \, kg$ of sugar for $Rs. \, 2400$. He sold $1/4$th of the stock at a loss of $5 \%$. At what per cent profit should he sell the remaining stock so as to make an overall profit of $20 \%$ on the whole transaction? (in $\%$)

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