A milkman makes 20% profit by selling milk mi | vedclass

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(A) Let the quantity of milk be $M$ litres and the quantity of water be $W$ litres. The cost price of $1 	ext{ L}$ of pure milk is $Rs. 10$,so the co

Vedclass · Accepted Answer

$3:1$

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(A) Let the quantity of milk be $M$ litres and the quantity of water be $W$ litres. The cost price of $1 	ext{ L}$ of pure milk is $Rs. 10$,so the cost price of $M$ litres of milk is $10M$.Since water is assumed to be free,the total cost price of the mixture is $10M$.The total volume of the mixture is $(M + W)$ litres.The selling price of the mixture is $9$ per litre,so the total selling price is $9(M + W)$.The profit percentage is given as $20\%$.Using the formula: $	ext{Selling Price} = 	ext{Cost Price} 	imes (1 + \frac{	ext{Profit}\%}{100})$$9(M + W) = 10M 	imes (1 + \frac{20}{100})$$9(M + W) = 10M 	imes 1.2$$9M + 9W = 12M$$9W = 3M$$\frac{M}{W} = \frac{9}{3} = \frac{3}{1}$Therefore,the ratio of milk to water is $3:1$.

$A$ milkman makes $20\%$ profit by selling milk mixed with water at $Rs. 9$ per litre. If the cost price of $1 \text{ L}$ pure milk is $Rs. 10$,then the ratio of milk and water in the given mixture is:

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