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?

Answer 1

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:

\[ \text{Selling price for Raza} = x + 0.25x = 1.25x \]

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

\[ \text{Selling price for Rashid} = 1.25x + 0.20 \times 1.25x = 1.25x + 0.25x = 1.25x \times 1.20 = 1.5x \]

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

\[ 1.5x = 3600 \]

Now, we can solve for \( x \):

\[ x = \frac{3600}{1.5} = 2400 \]

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