A trader sells an article at a 10% loss. Later, he increases the selling price by 15%, making it Rs 54. What was the original cost price of the article?

A trader sells an article at a 10% loss. Later, he increases the selling price by 15%, making it Rs 54. What was the original cost price of the article?

Explanation
Step 1: Define CP

Let the cost price be x.

Step 2: Selling price with 10% loss

That means:

Step 3: Sale time price increases by 15%

This new selling price is:

We are told that this equals 54:

1.035x = 54

Step 4: Solve for x

1.03552.17