Question

selling price is 24 Rs , cost price is equal to lost of persentage then find cost price

Answer 1

let CP of the article be x Rs
we know that, cp-sp = loss;  x - 24 = loss

we also know that, (loss/cp)*100 = loss%
so substitute the values of loss in the 2nd equation

((x-24)/x)*100 = loss%

acc.to the question, loss% = cp

therefore,  ((x-24)/x)*100 = x

(x-24)*100 = x^2
100x - 2400 = x^2
0 = x^2 - 100x + 2400
0 = x^2 - 60x - 40x + 2400
0 = x(x-60) - 40(x- 60)

therefore, either x = 40 or x= 60 ;)