Let's solve this step by step:

Step 1: Let's denote the cost price of the article as 'x'.

Step 2: According to the problem, the profit when the article is sold for Rs. 575 is equal to the loss when the article is sold for Rs. 325.

This can be written as:

Profit = Selling Price - Cost Price
Loss = Cost Price - Selling Price

So, we can write the equation as:

575 - x = x - 325

Step 3: Now, let's solve this equation for 'x'.

By adding 'x' to both sides, we get:

575 = 2x - 325

Step 4: Add 325 to both sides:

575 + 325 = 2x

900 = 2x

Step 5: Finally, divide both sides by 2 to solve for 'x':

x = 900 / 2

x = 450

So, the cost price of the article is Rs. 450. Therefore, the answer is D450.

Question

Let's solve this step by step:

Step 1: Let's denote the cost price of the article as 'x'.

Step 2: According to the problem, the profit when the article is sold for Rs. 575 is equal to the loss when the article is sold for Rs. 325.

This can be written as:

Profit = Selling Price - Cost Price
Loss = Cost Price - Selling Price

So, we can write the equation as:

575 - x = x - 325

Step 3: Now, let's solve this equation for 'x'.

By adding 'x' to both sides, we get:

575 = 2x - 325

Step 4: Add 325 to both sides:

575 + 325 = 2x

900 = 2x

Step 5: Finally, divide both sides by 2 to solve for 'x':

x = 900 / 2

x = 450

So, the cost price of the article is Rs. 450. Therefore, the answer is D450.

Knowee AI · Accepted Answer