latif buys an article and sells it to raza at gain of 25%.raza sells the article to rashid at a gain of 20%.how much money does the articles cost latif if rashid pays rs.3600?

Question

GPT-4o mini · Answer

Let's denote the cost price of the article for Latif as $x$ .

Latif sells the article to Raza at a gain of 25%. This means Raza's purchase price is calculated as follows:

$Selling price for Raza = x + 0.25 x = 1.25 x$

Raza then sells the article to Rashid at a gain of 20%. Therefore, Rashid's purchase price is:

$Selling price for Rashid = 1.25 x + 0.20 \times 1.25 x = 1.25 x + 0.25 x = 1.25 x \times 1.20 = 1.5 x$

We know that Rashid pays Rs. 3600, so we set up the equation:

$1.5 x = 3600$

Now, we can solve for $x$ :

$x = \frac{3600}{1.5} = 2400$

Thus, the cost price of the article for Latif is Rs. 2400.