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?

Q: 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?

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

38
40
32
36

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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