A merchant buys 4000 , kg of wheat,one-fifth | vedclass

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(B) Let the total cost price of $4000 \, kg$ of wheat be $C$. First,we calculate the weighted average profit percentage. The fractions of the total qu

Vedclass · Accepted Answer

$2.60$

Vedclass · Answer

(B) Let the total cost price of $4000 \, kg$ of wheat be $C$. First,we calculate the weighted average profit percentage. The fractions of the total quantity are $\frac{1}{5}, \frac{1}{4}, \frac{1}{2}$,and the remainder is $1 - (\frac{1}{5} + \frac{1}{4} + \frac{1}{2}) = 1 - \frac{4+5+10}{20} = 1 - \frac{19}{20} = \frac{1}{20}$. Total profit percentage $P = (\frac{1}{5} 	imes 5) + (\frac{1}{4} 	imes 10) + (\frac{1}{2} 	imes 12) + (\frac{1}{20} 	imes 16) \%$. $P = 1 + 2.5 + 6 + 0.8 = 10.3 \%$. If he sold the whole at $11 \%$,the profit would be $11 \%$. The difference in profit is $11 \% - 10.3 \% = 0.7 \%$. Given that $0.7 \% 	ext{ of } C = Rs. 72.80$. $C = \frac{72.80}{0.007} = Rs. 10400$. The cost price per $kg = \frac{10400}{4000} = Rs. 2.60$.

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