Question

9000Rs were equally divided among certain number of pers. Had there been 20 more persons each would have got 160Rs less. Find the original number of persons.

Answer 1

Here it is.....

let no. of persons be x

So ATQ,

9000/x -9000/(x+20)=160

(9000x +180000-9000x)/x(x+20)=160

By solving it you get,

160xx +3200x -180000=0

xx +20x -1125=0

After solving you get,

(x+45)(x-25)=0

So,

x=25. ANS.

Answer 2

Let no of persons be x and amount be y

Thus, x=9000/y

According to the condition

9000/y-160=x+20

But x=900/y

Substitute and solve

U will get

y²-160y-72000=0

Factorise u will get

(y-360)(y+200)

y=360 or y=-200

Thus y=360

done!