Question

A man sold a radio-set for Rs.250 and gained one-ninth of its cost price. Find : (i) its cost price; (ii) the profit percent.

Answer 1

(i) Let C.P. of the radio -set = Rs. x
Gain = Rs. $\frac{x}{9}$
S.P. = Rs. $(x+\frac{x}{9})=\left(\frac{9x+x}{9}\right)Rs.=Rs.\frac{10x}{9}$
But, we are given S.P. of the radio-set = Rs. 250
$\therefore \frac{10x}{9}=250$
$\Rightarrow x=250\times \frac{9}{10}\Rightarrow x=25\times 9\Rightarrow x=225$
$\therefore$ C.P. of the radio set = Rs. 225
(ii) Profit = Rs. $\frac{x}{9}$
= Rs. $\frac{225}{9}$
...(Substituting the value of x)
=Rs. 25
Profit % = $\frac{Profit}{C.P.}\times 100$
=$\frac{25}{225}\times 100=\frac{25\times 100}{225}=\frac{100}{9}$%
= $11\frac{1}{9}$%