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After increasing the selling price of an article by 25%, the new price of the article becomes Rs. 250.…

Since a 25 percent increase gives Rs. 250, the original price is \(\frac{250}{1.25} = 200\). A 25 percent discount on 250 gives \(0.75\times250 = 187.5\), which is Rs. 12.50…

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After increasing the selling price of an article by 25%, the new price of the article becomes Rs. 250. Now a discount of 25% is offered on the new price. What would be the profit or loss in percentage on the original price.

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Since a 25 percent increase gives Rs. 250, the original price is 2501.25=200\frac{250}{1.25} = 200. A 25 percent discount on 250 gives 0.75×250=187.50.75\times250 = 187.5, which is Rs. 12.50 below the original. The loss is 12.5200×100=6.25%\frac{12.5}{200}\times100 = 6.25\%; "loss of 12.5%" mistakes the rupee loss for a percentage.

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