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?

Rs. 2000

Rs. 2200

Rs. 2400

Data inadequate

Explanation:

Let C.P. be Rs. $ x $.

Then,$ \dfrac{1920 - x}{x} \times 100$ =$ \dfrac{x - 1280}{x} \times 100$

$\Rightarrow$ 1920 - $ x $ = $ x $ - 1280

$\Rightarrow$ 2$ x $ = 3200

$\Rightarrow x $ = 1600

$\therefore$ Required S.P. = 125% of Rs. 1600 = Rs.$ \left(\dfrac{125}{100} \times 1600\right) $= Rs 2000.