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The food stocks in a hostel are sufficient for 1200 students for 20 days . If 400 more students joined the hostel, the stocks just for how many days?

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12 days

15 days

18 days

21 days

answer is B.

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Detailed Solution

Given food stock is for 1200 students for 20 days.
Let food stock is sufficient for x days.
And number of students (

M_{1}

)=1200
Days (

D_{1}

)=20
Increase in number of students (

M_{2}

)=1200+400=1600
Days (

D_{2}

)=x
Then, using

M_{1} D_{1}

M_{2} D_{2}

,
1200×20=1600×x
x

= \frac{1200 \times 20}{1600}

= \frac{120}{8}

x=15
Thus, now the food stock is sufficient for 15 days.
Therefore, option (2) is correct.

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