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(B) Let the marked price $(MP)$ be $100x$.$A$ discount of $10\%$ is allowed on the $MP$,so the discount amount is $10\% 	ext{ of } 100x = 10x$.The se

Vedclass · Accepted Answer

$3500$

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(B) Let the marked price $(MP)$ be $100x$.$A$ discount of $10\%$ is allowed on the $MP$,so the discount amount is $10\% 	ext{ of } 100x = 10x$.The selling price $(SP)$ after discount is $100x - 10x = 90x$.$A$ sales tax of $8\%$ is charged on the discounted price $(90x)$,so the tax amount is $8\% 	ext{ of } 90x = 0.08 	imes 90x = 7.2x$.The total amount paid by the customer is the sum of the discounted price and the sales tax: $90x + 7.2x = 97.2x$.Given that the total amount paid is $Rs. 3,402$,we have $97.2x = 3402$.Solving for $x$: $x = 3402 / 97.2 = 35$.Therefore,the marked price is $100x = 100 	imes 35 = Rs. 3,500$.

$A$ 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 $Rs. 3,402$ as the price including the sales tax,then the marked price is (in $Rs.$)

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