Question

A retailer has two types of sugar priced at Rs 13 and Rs 18 per kg. He wants to sell the mixture of these 2 types at a uniform price of Rs 15 per kg. In what proportion should he mix them so that there is no change in his revenue? Hint: take x+y=100

Answer 1

Answer on question 38035 – Math – Linear Algebra

A retailer has two types of sugar priced at Rs 13 and Rs 18 per kg. He wants to sell the mixture of these 2 types at a uniform price of Rs 15 per kg. In what proportion should he mix them so that there is no change in his revenue? Hint: take $x+y=100$

Let $x$ is the amount the sugar priced at 13 per kg, $y$ is the amount the sugar priced at 18 per kg.

The amount of sugar which we should sell is $13x+18y$, and it is equal to $15(x+y)$. We obtain the following equation

$$\begin{array}{l} 13x + 18y = 15(x + y) \\ 3y = 2x \\ \frac{x}{y} = \frac{3}{2} \end{array}$$

Answer: the proportion 3:2.