In what ratio must water be mixed with milk t | vedclass

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Question

(A) Let the cost price $(C.P.)$ of $1$ litre of milk be $₹ 1$.Since the mixture is sold at the cost price of milk,the selling price $(S.P.)$ of $1$ li

Vedclass · Accepted Answer

$1:6$

Vedclass · Answer

(A) Let the cost price $(C.P.)$ of $1$ litre of milk be $₹ 1$.Since the mixture is sold at the cost price of milk,the selling price $(S.P.)$ of $1$ litre of the mixture is $₹ 1$.The gain percentage is $16 \frac{2}{3} \% = \frac{50}{3} \%$.Using the formula: $S.P. = C.P. 	imes (1 + \frac{	ext{Gain} \%}{100})$$1 = C.P. 	imes (1 + \frac{50}{300}) = C.P. 	imes (1 + \frac{1}{6}) = C.P. 	imes \frac{7}{6}$Therefore,the $C.P.$ of $1$ litre of the mixture is $₹ \frac{6}{7}$.Using the rule of alligation:$C.P.$ of water = $0$$C.P.$ of milk = $1$Mean price = $\frac{6}{7}$Ratio of water to milk = $(1 - \frac{6}{7}) : (\frac{6}{7} - 0) = \frac{1}{7} : \frac{6}{7} = 1 : 6$.

In what ratio must water be mixed with milk to gain $16 \frac{2}{3} \%$ on selling the mixture at cost price?

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