Question:A man distributed Rs `100` equally among his friends. If there had been `5` more friends, each would have received one upee less. How many friends had he / 

A `20` 
B `25` 
C `30` 
D `35` 

+ Answer
A 

+ Explanation
Suppose he had x friends. Then,

`100/x - 100/(x + 5) = 1`

`or 1/x - 1/(x + 5) = 1/100`

`(x + 5 - x)/(x(x + 5)) = 1/100`

`or x^2 + 5x - 500 = 0`

`or (x + 25) (x - 20) = 0`

`:. x = 20`.

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