Final answer:
To find the selling price of item b, we need to determine the marked price of item a and the selling price of item a with a discount. Using the given information and equations, we can calculate the selling price of item b.
Step-by-step explanation:
To find the selling price of item b, we need to first determine the marked price of item a. Let's assume the marked price of item a is 'x'.
According to the given information, the marked price of item b is rs 100 more than the marked price of item a. Therefore, the marked price of item b would be 'x + 100'.
Now, we know that the selling price of item a is rs 180 and there is a discount of 10% on it. So the discounted price of item a is (180 - (10% of 180)).
We can calculate the selling price of item a by substituting the values: selling price of a = 180 - (0.1 * 180) = rs 162.
Similarly, the selling price of item b would be (x + 100) - (0.1 * (x + 100)).
To calculate the selling price, substitute x = 162 in the equation and solve it.