A shopkeeper sold an article for ₹455 at a loss (in ₹). If he sells it for ₹490, then he would gain an amount four times the loss. At what price (in ₹) should he sell the article to gain 25%?

Let the loss when the shopkeeper sold the article for ₹455 = L

and the Cost price of the article = C

$$\Rightarrow$$ C - 455 = L

$$\Rightarrow$$ C = L + 455......(1)

According to the problem, when the shopkeeper sells it for ₹490, then he would gain an amount four times the loss.

$$\Rightarrow$$ 490 - C = 4L

$$\Rightarrow$$ 490 - (L + 455) = 4L

$$\Rightarrow$$ 35 = 5L

$$\Rightarrow$$ L = 7

From (1),

C = L + 455 = 7 + 455 = ₹462

Cost price of the article = ₹462

Selling price of the article when the shopkeeper sells at 25% gain = $$\frac{125}{100}\times$$C

= $$\frac{125}{100}\times$$462

= ₹577.50

Hence, the correct answer is Option B