by selling an article for Rs. 500, a profit 12 1/2% is made. find the cost price of the article?

let c.p. be x. then gain =25/2

x + (12½% x) = Rs. 500

1.125 x = Rs. 500

444.44

To find the cost price (c.p.) of the article, we can use the formula for calculating profit:

Profit = Selling Price - Cost Price

Given that a profit of 12 1/2% (or 25/2%) is made by selling the article for Rs. 500, we can set up the equation:

Profit = Selling Price - Cost Price
25/2% of x = 500

To solve for x (the cost price), we can first convert 12 1/2% to its decimal form:

12 1/2% = 25/2%

Next, we can substitute this value into the equation and solve for x:

25/2% of x = 500
(25/2) / 100 * x = 500
25x / 200 = 500
25x = 500 * 200
25x = 100000
x = 100000 / 25
x = 4000

Therefore, the cost price (c.p.) of the article is Rs. 4000.