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The Sale Price of a Television, Inclusive of Sales Tax is Rs. 13,500. If Sales Tax is Charged at the Rate of 8% of the List Price, Find the List Price of the Television. - Mathematics

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Question

The sale price of a television, inclusive of sales tax is Rs. 13,500. If sales tax is charged at the rate of 8% of the list price, find the list price of the television.

Sum
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Solution

Sale Price of Television = ₹ 13,500
Rate of Sales Tax = 8 %
Let the List Price = x

Sales tax = 8% of x = `(8)/(100) xx x =(2x)/(25)`

Sales Price = List Price + Sales Tax

13,500 = `x + (2x)/(25)`

13,500 = `(27x)/(25)`

x = `(13,500 xx 25)/(27)`

x = ₹ 12,500.
∴ The list price of the television be ₹12,500.

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