Question

Rs 9000 were divided equally among certain no of persons .Had there been 20 more persons each would have got Rs 160 less. Find original no. of persons ​

Answer 1

Step-by-step explanation:

Let the original no of persons be x

money diveded among the persons =9000/x -160

there are more 20 persons x+20

ATQ

9000/x -160 = 9000/x +20

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

by using cross multiplication

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

9000x+160x^2 -180000+3200x = 9000x

9000x-9000x +160x^2 - 180000 +3200x

160x^2 + 3200x -180000

Divide all by 160

We get

x^2 +20x - 1225

x^2+20x = 1225

(x+10)^2 = 1225

x+10 = √1225

x+10= 35

x= 35-10

x= 25

no of persons =25