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 :
Answer & explanation
Correct answer: option 4
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.
$⇒\frac{40x+20y}{x+y}=25$
$⇒40x+20y=25x+25y$
$⇒15x=5y$
$⇒\frac{x}{y}=\frac{1}{3}$