Question

In a boys hostel, there is food provision for $25boys$ for some days but for $10$ extra boys the food provision also decreases by $10days$. If there are $125boys$ then the number of days the food will test is

• A. $5days$
• B. $6days$
• C. $7days$
• D. $15days$

Answer 1

The correct option is C $7days$

No. of boys increases food will last for less days.

Let for $25$ boys food will last for $x$days

$25\times x=35\times \left(x-10\right)$ {divide $25$and $35$ by $5$]

$2x=70$

$x=35$

$25\times 35=125\times y$

$y=7$

Hence food last for $7$ days.

Hence, the option $\left(C\right)$ is correct answer.