Question

an article is sold for rupees 96 at a gain percent equal to its cp in Rupees find its cp

Answer 1

let the CP =x
then, we know that,profit=SP-CP
then profit= 96-x
and a.t.q. profit%=(profit/CP)×100
and given that profit%= CP
(profit/CP)×100=CP
(96-x/x)×100=x
9600-100x=x²
x²+100x-9600=0
x²+160x-60x-9600=0
x(x+160)-60(x+160)=0
(x+160)(x-60)=0
then x=60,-160
thus the CP is 60 rupees because the negative value doesn't exist.
I hope this may be helpful for u.