Question

There was one mess for $30$ boarders in a certain hostel. On the number of boarders being increased by $10$, the expenses of the mess were increased by Rs$40$ per month while the average expenditure per head diminished by Rs$2$. Find the original monthly expenses.

• A. Rs.$390$
• B. Rs.$410$
• C. Rs.$360$
• D. Rs.$480$

Answer 1

The correct option is C Rs.$360$

Let x rupees be the average of $30$ boarders.
According to the question,
$\therefore 30x+40=(x-2)\times 40$
$x=12$
Hence, original expenditure = Rs $12\times 30=Rs360$