A shopkeeper sold an articles for Rs455 at a loss (in Rs). If he sell it for Rs490, then he would gain an amount four times the loss. At what price (in Rs) should he sell the articles to gain 25%?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 577.50
Original selling price = Rs. 455
If he sells it for Rs. 490, then he would gain an amount four times the loss.
Gain = 25%
Gain = Selling price - Cost price
Selling price = Cost price × (1 + gain percentage/100)
let the cost price of the article be x.
According to the question -
4 × (x - 455) = (490 - x)
x = 2310/5 = 462
To make a 25% gain the shopkeeper has to sell the article = 462(1 + 25/100) = (462 × 1.25) = Rs. 577.50