Question

A family of 7 members has a monthly expense of ₹49,140.
If there were only 5 members, what would have been the monthly expense?

• A. ₹35,100
• B. ₹45,500
• C. ₹38,600
• D. ₹30,000

Answer 1

The correct option is A ₹35,100

Given, monthly expenditure of 7 members is ₹49,140.

We know that, if the number of member in the family decreases, then the monthly expenditure will also decrease.

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

Given,
$x_1=7\text{members}$
$y_1=₹49,140$
$x_2=5\text{members}$
$\text{and}{y}_2=\text{expenditure of 5 members}$
$\Rightarrow y_2=\frac{x_2\times y_1}{x_1}$
$\Rightarrow y_2=\frac{5\times 49,140}{7}=35,100$

So, the monthly expenditure of 5 members would be ₹35,100.