1.

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

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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