In a hostel,the food provision for 30 persons is for 10 days.How long would the food provision last,if 5 persons vacate the hostel?

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Solution

Dear student,

$S i n c e t h e q u a n t i t y o f f o o d i s c o n s \tan t, h e n c e p_{1} \times d_{1} = p_{2} \times d_{2} \Rightarrow 30 \times 10 = (30 - 5) \times d_{2} \Rightarrow 300 = 25 \times d_{2} \Rightarrow \frac{300}{25} = d_{2} \Rightarrow d_{2} = \frac{60}{5} \Rightarrow d_{2} = 12 t h u s t h e f o o d w i l l l a s t f o r 12 d a y s .$
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