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:

$$\text{Initial SP}=x-10\%\text{ of }x=x-0.10x=0.90x$$

Step 3: Sale time price increases by 15%

This new selling price is:

$$\text{New SP}=0.90x+15\%\text{ of }0.90x=0.90x+0.135x=1.035x$$

We are told that this equals 54:

$$1.035x = 54$$

Step 4: Solve for x

x=54​/1.035≈52.17

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