Question

The cost of 6 litres of milk is ₹428. If 5 men consume 10 litres of milk in a day, then, what will be the cost of milk consumed by 12 men in a day?

• A. ₹1,700
• B. ₹1,712
• C. ₹1,612
• D. ₹1,656

Answer 1

The correct option is B ₹1,712

Given, 5 men consume 10 litres of milk in a day.

We know that if the number of men increase, then the consumption of milk will also increase.

$\text{So, Number of men}\left(x\right)\propto \text{Liters of milk}\left(y\right)$
$\therefore \frac{x_1}{y_1}=\frac{x_2}{y_2}$

Given,
$x_1=5men$
$y_1=10liters$
$x_2=12men$
$\text{and}{y}_2=\text{Litres of milk required}$
$\Rightarrow \frac{5}{10}=\frac{12}{y_2}$
$\Rightarrow y_2=\frac{12\times 10}{5}=24litres$

Also, 6 litres of milk costs ₹428.

We know that if the litres of milk increase, then, the cost will also increase.

$\text{So,Litres of milk}\left(x\right)\propto \text{Cost}\left(y\right)$
$\therefore \frac{x_1}{y_1}=\frac{x_2}{y_2}$

Given,
$x_1=6litres$
$y_1=428$
$x_2=24litres$
$\text{and}{y}_2=\text{cost of 24 liters}$
$\Rightarrow \frac{6}{428}=\frac{24}{y_2}$
$\Rightarrow y_2=\frac{24\times 428}{6}=1712$

So, the cost of milk consumed by 12 men in a day will be ₹1,712.