Discount Problem

A shopkeeper allows discount of 10% on the marked price of an item but charges a sales tax of 8% on the discounted price.If the customer pays Rs.680.40 as the price including the sales tax , what is the marked price?(a)Rs.630 (b)Rs 700 (c)780 (d) none
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Questions by Benit Amala   answers by Benit Amala

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Ans:700

let the market prise be M.
10% discount of M=M/10
selling prise excluding tax=M-discount=>M-M/10=9M/10
8% tax on discounted prise=9M/10*8/100
=>actual selling prise including tax= 9M/10 + 72M/1000
which is equal to Rs.680.40
=>9M/10 + 72M/1000 = 680.40
=>M=700

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