Question

In what proportion must milk at 1.60 per kg. Be mixed with wheat at rs 1.45 per kg. , so that the mixture be worth rs. 1.54 per kg. ?

Answer 1

Answer:

The required proportion is 3:2

Step-by-step explanation:

Consider the provided information.

To calculate the proportion we use the formula:

If two ingredients are mixed, then  the formula used is:

$\frac{\text{Quantity of expensive}}{\text{Quantity of cheaper}} = \frac{\text{Mean price - CP of Cheaper}}{\text{CP of expensive - Mean price}}$

The cost price of cheaper is 1.45.

The cost price of expensive is 1.60.

The mean price is 1.54.

Substitute the respective values in the above formula.

$\frac{\text{Quantity of expensive}}{\text{Quantity of cheaper}}=\frac{1.54-1.45}{1.60-1.54}$

$\frac{\text{Quantity of expensive}}{\text{Quantity of cheaper}}=\frac{.09}{0.06}$

$\frac{\text{Quantity of expensive}}{\text{Quantity of cheaper}}=\frac{9}{6}$

$\frac{\text{Quantity of expensive}}{\text{Quantity of cheaper}}=\frac{3}{2}$

Hence, the required proportion is 3:2