Sushma sold an article at a loss of 12%. If she had sold it for Rs. 50.80 more, then she would have earned a profit of 8%. Find the cost price of the article.

The difference between a 12% loss and an 8% profit is a total value shift of 20% of the cost price. This 20% change corresponds exactly to the Rs. 50.80 increase in the selling price. Setting up the equation 0.20 multiplied by the cost price equals 50.80 gives a cost price of 50.80 divided by 0.20, resulting in Rs. 254.

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