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Question

# a) A shopkeeper sells an item at the price of Rs 810 including sales tax of 8%. What should a customer pay for the same item if the sales tax is reduced to 6%? b) The price of TV set inclusive of sales tax of 9% is Rs 13,407. Find its marked price. If the sales tax is increased to 13%. how much more does the customer pay for the TV? [6 MARKS]

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Solution

## Each subpart: 3 Marks a) Let M.P. be Rs x Then, ⇒810=x+8% of x=x+8100x ⇒810=108100x ⇒810×100108=x ⇒x=750 Amount to be paid if sales tax is reduced to 6% = Rs750+6% of Rs 750 =Rs750+Rs 6100×750=Rs 795 b) Let M.P. be Rs x Then, 13407 = x + 9% of ⇒13407=x+9100x ⇒13407=109100x ⇒13407×100109=x ⇒ x = 12300 Hence, marked price is Rs 12300 Sales tax = 13% of Rs 12300 =Rs 13100×12300=Rs 1599 Amount to be paid = Rs 12300 + Rs 1599 = Rs 13899 Extra amount to be paid = Rs 13899 - Rs 13407 = Rs 492

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