Question

A dairyman pays Rs. 6.4 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5$\%$ profit. The proportion of water to milk received by the customers is

• A. 1:15
• B. 1:10
• C. 1:20
• D. 1:12

Answer 1

Answer: (B)

1:10

Answer 2

The correct option is (B): 1:10
Explanation: Explanation:
Let quantity of milk purchased be $x$ litres and water added be $y$ litres
Thus, cost price =$Rs. 6.4x$
Selling price = Rs. 8(x + y)
Also, profit % = 37.5 % = $\frac{3}{8}$
$\frac{8(x+y)-6.4x}{6.4x}$= $\frac{3}{8}$
1.6x + 8y = 2.4x
8y = 0.8x
$\frac{y}{x}=\frac{1}{10}$