A milk vendor purchased some milk at the rate of Rs. 14 per litre and

1.	A milk vendor purchased some milk at the rate of Rs. 14 per litre and after mixing 25% of water to the whole mixture, He sold the mixture at Rs 14 per litre. His profit per cent is.1). 35%2). 30%3). 25%4). 14%
Answer» Let the amount of milk initially purchased be x litres. TOTAL C.P. of x litres of milk =Rs. 14X ? 25% of WATER is added to it, the volume of water added to milk = 25% of x = (25/100) × x = x/4 litres ∴ Final volume of MIXTURE $(= \;x\; + \;\frac{x}{4} = \;\frac{{5x}}{4}litres)$ According to the information given in the question, 5x/4 litres of mixture is sold at Rs. 14 PER litre ∴ total S.P. of the mixture $(= \frac{{5x}}{4} \times 14 = \;\frac{{35x}}{2} =)$Rs. 17.5x We know that, % Profit $(= \frac{{S.P.\; - C.P.}}{{C.P.\;}} \times 100)$ ⇒ % Profit $(= \frac{{17.5x\; - \;14x}}{{14x\;}} \times 100)$ ⇒ % Profit = 25

A milk vendor purchased some milk at the rate of Rs. 14 per litre and after mixing 25% of water to the whole mixture, He sold the mixture at Rs 14 per litre. His profit per cent is.1). 35%2). 30%3). 25%4). 14%

Answer»

Let the amount of milk initially purchased be x litres.

TOTAL C.P. of x litres of milk =Rs. 14X

? 25% of WATER is added to it, the volume of water added to milk = 25% of x

= (25/100) × x = x/4 litres

∴ Final volume of MIXTURE $(= \;x\; + \;\frac{x}{4} = \;\frac{{5x}}{4}litres)$

According to the information given in the question,

5x/4 litres of mixture is sold at Rs. 14 PER litre

∴ total S.P. of the mixture $(= \frac{{5x}}{4} \times 14 = \;\frac{{35x}}{2} =)$Rs. 17.5x

We know that, % Profit $(= \frac{{S.P.\; - C.P.}}{{C.P.\;}} \times 100)$

⇒ % Profit $(= \frac{{17.5x\; - \;14x}}{{14x\;}} \times 100)$

⇒ % Profit = 25

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