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?
Answer: 52.17
Explanation
Step 1: Define CP
Let the cost price be x.
Step 2: Selling price with 10% loss
That means:
Initial SP=x−10% of x=x−0.10x=0.90x
Step 3: Sale time price increases by 15%
This new selling price is:
New SP=0.90x+15% 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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