Question 110

A shopkeeper allows a 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 3,402 as the price including the sales tax, then the marked price is

Solution

Let M.P. = $$100x$$

Discount % = $$\frac{10}{100} * 100x = 10x$$

=> S.P. = $$100x-10x = 90x$$

Sales tax on discounted price = $$\frac{8}{100} * 90x = 7.2x$$

Now, total S.P. = $$90x+7.2x = 97.2x$$

=> $$97.2x = 3402

=> $$x$$ = 35

=> M.P. = 35*100 = 3500

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