Question : In a camp of 70 boys, there are food provisions for 36 days. If 50 more boys join the camp, then how many days will the provisions last?
Option 1: 25 days
Option 2: 24 days
Option 3: 21 days
Option 4: 18 days
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Correct Answer: 21 days
Solution :
Given: In a camp of 70 boys, there are food provisions for 36 days then 50 more boys join the camp.
We know, $M_1D_1= M_2D_2$, where $M_1$ and $M_2$ are boys and $D_1$ and $D_2$ are days.
⇒ $70 × 36 = (70 + 50) × D_2$
⇒ $D_2=\frac{70×36}{120}$
⇒ $D_2=21$ days
Hence, the correct answer is 21 days.
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