Question

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

Answer 1

Let C.P = x. If S.P= Rs 1920 $\Rightarrow$ profit % = $\frac{profit}{C.P}\times 100$

Thus, profit % = $\frac{1920-x}{x}\times 100$

If S.P = Rs 1280, loss % - $\frac{loss}{C.P}\times 100=\frac{(x-1280)}{x}\times 100$

From the question

$\frac{1920-x}{x}\times 100=\frac{x-1280}{x}\times 100$

$1920-x=x-1280$

$2x=1920+1280=3200\Rightarrow x=\frac{3200}{2}=1600$

$\therefore$ required S.P = 125% of Rs 1600 = $\frac{125}{100}\times 1600=Rs2000$