A man bought an article for Rs $x$ and sold is for Rs $16$ .If his loss percent was $x$ per cent ,find the cost price of the article.

Using the loss percentage formula, Loss Percentage = ((Cost Price - Selling Price) / Cost Price) * 100. Substitute the given values to get the equation x = ((x - 16) / x) * 100. Multiplying by x yields x squared = 100x - 1600, which rearranges to x squared - 100x + 1600 = 0. Solving this quadratic equation yields roots 20 and 80, and checking the options, 20 is the correct cost price.

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