Question

There is a provision for 12 students for 10 days. If the number of students is increased to 15, then the provision will last for days.

• A. 8
• B. 10
• C. 9

Answer 1

The correct option is A 8

Given, a provision will last 10 days for 12 students.

We know that,
$\text{Number of students}\left(x\right)\propto \frac{1}{\text{Number of days}\left(y\right)}$
$\frac{x_1}{x_2}=\frac{y_2}{y_1}$

Given,
$x_1=12students$
$x_2=15students$
$y_1=10days$
$\text{and,}{y}_2=\text{number of days for}\text{which the provision will last for 15 students}$

$\Rightarrow \frac{12}{15}=\frac{y_2}{10}$
$\Rightarrow y_2=\frac{12\times 10}{15}=8days$