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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 thecustomer pays Rs. 3,402 as the price including the sales tax, then the marked price is1). Rs. 3,4002). Rs. 3,5003). Rs. 3,6004). Rs. 3,800 |
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Answer» Let the discounted price be Rs. ‘x’ Customer pays Rs. 3,402 as the price including the sales tax and charges a sales tax of 8% on the discounted price. Therefore, 108% of discounted price = 3402 ⇒ (108/100) × x = 3402 ⇒x = (3402 ×100)/108 ⇒x = Rs.3150 Shopkeeper ALLOWS a DISCOUNT of 10% on the marked price. Therefore, 90% of M.P = discounted price $(\RIGHTARROW \frac{{90}}{{100}} \TIMES M.P = 3150)$ ⇒ $(M.P = \frac{{3150 \times 100}}{{90}})$ = Rs.3500 |
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