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?

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,$$M_{1}\times D_{1}= M_{2}\times D_{2}$$​​

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

​$$M_{1}\times D_{1}= M_{2}\times D_{2}$$​​

​$$200\times 30= 150 \times x$$​​

​$$x= \frac{200\times 30 }{150}$$​​

x = 40 days