Question

If $45$ students can consume a stock of food in $2$ months, then for how many days the same stock of food will last for $27$ students?

• A. $180$ days
• B. $160$ days
• C. $144$ days
• D. $100$ days

Answer 1

Answer: (D)

According to first condition,

$45$ students consume food in $2$ months, i.e. in $60$ days

So the ratio would be $45:60$

According to second condition,

same amount of food is consumeed by $27$ studsents in $x$ days

So the ratio would be, $27:x$

By inverse prportion,

$45\times 60=27\times x$

$\therefore x=\frac{45\times 60}{27}$

$\therefore x=100$

Answer: $27$ students will consume the same stock of food for $100$ days.