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Ration is available for 100 students in a hostel for 40 days. How long will it be last, if 20 more students join in the hostel after 4 days ?

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25 days

30 days

40 days

35 days

answer is B.

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Detailed Solution

Since the number of students are increasing

$100 \times x = 120 \Rightarrow x = \frac{120}{100}$

So the number of days will decrease in same proportion.

$i . e . 36 \div x$

$= 36 \div \frac{120}{100}$

$\Rightarrow 36 \times \frac{100}{120} = 30 d a y s$

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