Question

e cost price of item a is rs. 500 more than that of item b. when a is sold at a loss of 10% and b is sold at a profit of 25%, then there is a profit of 4% in the entire transaction. what is the selling price of item a?

Answer 1

The selling price of item A as Rs. 1100.

How to solve

Let the cost price of item B be x.

Therefore, the cost price of item A is (x + 500).

When A is sold at a 10% loss, the selling price of A is 90% of (x + 500).

When B is sold at a 25% profit, the selling price of B is 125% of x.

Given that the overall transaction results in a 4% profit:

Total selling price = Cost price + 4% of the cost price.

Equating the selling prices of A and B with the total selling price:

(90% of (x + 500)) + (125% of x) = Cost price + 4% of the cost price.

Solving the equation gives the selling price of item A as Rs. 1100.