1)

Rs.6500 were divided equally among a certain number of persons. Had there been 15 more persons, each would have got Rs.30 less .Find the original number of person?


A) 50

B) 52

C) 55

D) 60

E) 65

Answer:

Option A

Explanation:

Let the original number of person be x

Share of each person = 6500/x

If the noumber of person be increased by 15 ,then the new share of each person = $\frac{6500}{x+15}$

Given  $\frac{6500}{x}-\frac{6500}{x+15}=30$

Solve the above equation x =-65,50

X cannot be negative ,x = 50