Question

100 persons had food provision for 24 days. If 20 persons left the place, the provision will last for:

• A. 30 days
• B. \( \frac{96}{5} \) days
• C. 120 days
• D. 40 days

Hint:

In food provision problems, always remember that duration is inversely proportional to the number of people.

Answer 1

The Correct Option is A

Step 1: Apply inverse proportionality
Food provision and number of people are inversely proportional.
New number of people = \( 100 - 20 = 80 \).
Step 2: Use proportionality
\[ \text{New duration} = \frac{100}{80} \times 24 \] \[ = \frac{100 \times 24}{80} = 30 \text{ days} \] Thus, the correct answer is 30 days.