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A person sold an item at a loss of 7%. Had he sold the item at a gain of 7.5%, he would have received…

The two selling prices differ by \(7.5\%+7\%=14.5\%\) of the cost price. This difference is ₹87, so the cost price is \(87/0.145=600\), that is ₹600. As a check, a 7% loss…

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A person sold an item at a loss of 7%. Had he sold the item at a gain of 7.5%, he would have received Rs. 87 more than his selling price. The cost price of the item is :

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The two selling prices differ by 7.5%+7%=14.5%7.5\%+7\%=14.5\% of the cost price. This difference is ₹87, so the cost price is 87/0.145=60087/0.145=600, that is ₹600. As a check, a 7% loss gives ₹558 and a 7.5% gain gives ₹645, which differ by ₹87.

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