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In a hostel, there are 120 students and food stock is for 45 days. If 30 new students join the hostel, in how many days will the complete stock be exhausted?

Correct Answer: 36

Explanation:

Let food stock will be exhausted in x days .
Given, m1 = 120, D1 = 45
M2 = 120 + 30 = 150
and D2 = ?
Then, using M1D1 = M2D2
⇒ 120 x 45 = 150 x D2
∴ D2 = 120 x 45/120 = 36


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