A person sells an article at a profit of 12%. If he had purchased it for 12% less and sold if for Rs. 9 less, he would have gained 27%. What is the original cost price of the article?

Let the original cost price be 100, making the original selling price 112. The new cost price is 88, and to gain 27%, the new selling price becomes 88 plus 0.27 times 88, which equals 111.76. The difference between the original selling price and the new selling price is 112 minus 111.76, which equals 0.24. If this 0.24 corresponds to the given Rs. 9, the original cost price is calculated as 100 divided by 0.24, multiplied by 9, resulting in Rs. 3,750.

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