A retail item is offered at a discount of a percent (where a > 10), with a 5% state sales tax assessed on the discounted purchase price. If the state sales tax were not assessed, what percent discount from the item’s original retail price, in terms of a, would result in the same final price? Choose one:	A) p+5/1.05	B) p/1.05 +5	C) 1.05a-5	D) a-5/1.05	E) 1.05(a – 5)
Let x be the price of the item.   Final price after discount and sales tax = x * (1 - a/100) * 1.05   Let b be the percent discount which would result in the same final price.   Then,   x * (1 - a/100) * 1.05 = x * (1 - b/100)   =&gt; 1.05 - 1.05a/100 = 1 - b/100   =&gt; b/100 = 1.05a/100 - .05   =&gt; b = 1.05a - 5   Hence ,option 1.05a-5 is correct.
<result>C</result>
A retail item is offered at a discount of a percent (where a > 10), with a 5% state sales tax assessed on the discounted purchase price. If the state sales tax were not assessed, what percent discount from the item’s original retail price, in terms of a, would result in the same final price?