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200 men have provisions for 30 days. If 50 of these men leave, for how many days will the same provisions last for the remaining men?
Question

200 men have provisions for 30 days. If 50 of these men leave, for how many days will the same provisions last for the remaining men?

A.

28 days

B.

32 days

C.

40 days

D.

24 days

Correct option is C

Given:

Provision for 200 men = 30 days

Number of person leave = 50

Formula Used:

Let number of men, total days be M,D.

Then,M1×D1=M2×D2 M_{1}\times D_{1}= M_{2}\times D_{2}​​

Solution:

Men after 50 more left = 200-50 = 150men

If 200men consume provision in 30 days then 150 men will consume provision in x days

M1×D1=M2×D2M_{1}\times D_{1}= M_{2}\times D_{2}​​

200×30=150×x200\times 30= 150 \times x​​

x=200×30150x= \frac{200\times 30 }{150}​​

x = 40 days

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