A man sells an article at a gain of $20\%$. If he had bought it for $20 \%$ less and sold it for $264$ less, he would have still gain $20\%$.The cost price of the article is ?

Let the original cost price be C, so the original selling price at a 20 percent gain is 1.2C. If the cost price were 20 percent less, the new cost price would be 0.8C. The new selling price is 1.2C minus 264, and equating this to a 20 percent gain on the new cost price gives 1.2C minus 264 equals 1.2 multiplied by 0.8C. Solving 1.2C minus 0.96C equals 264 gives 0.24C equals 264, so C equals 1100. The result is Rs. 1100.

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