If a shopkeeper mixed two goods priced at ₹40 and ₹20 respectively and their mean price is ₹25. The ratio in which they are mixed is :

1 : 3

The correct answer is Option (4) → 1 : 3

Using weighted average formula,

$\text{Mean Price}=\frac{∑(\text{Quantity×Price})}{∑\text{Quantity}}$

let the quantities of the two goods priced at Rs. 40 and Rs. 20 be x and y.

$⇒\frac{40x+20y}{x+y}=25$

$⇒40x+20y=25x+25y$

$⇒15x=5y$

$⇒\frac{x}{y}=\frac{1}{3}$