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A retail item is offered at a discount of p percent (where p > 10),
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02 Apr 2021, 06:00
02 Apr 2021, 06:00
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A retail item is offered at a discount of p percent (where p > 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 p, would result in the same final price?
A. p+5/1.05
B. p/1.05 +5
C. 1.05p-5
D. p-5/1.05
E. 1.05(p – 5)
A. p+5/1.05
B. p/1.05 +5
C. 1.05p-5
D. p-5/1.05
E. 1.05(p – 5)
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Re: A retail item is offered at a discount of p percent (where p > 10),
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02 Apr 2021, 08:04
02 Apr 2021, 08:04
2
GeminiHeat wrote:
A retail item is offered at a discount of p percent (where p > 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 p, would result in the same final price?
A. p+5/1.05
B. p/1.05 +5
C. 1.05p-5
D. p-5/1.05
E. 1.05(p – 5)
A. p+5/1.05
B. p/1.05 +5
C. 1.05p-5
D. p-5/1.05
E. 1.05(p – 5)
Let the retail price be \(100\)
And \(p\) be \(20\)
So, discounted price \(= (0.8)(100) = 80\)
After sales tax = \((1.05)(80) = 84\)
Therefore, % discount to get same final price \(= 100 - 84 = 16\)%
Let's check the option choices;
A. \(20 + \frac{5}{1.05}\) - the value would be greater than \(20\)
B. \(\frac{20}{1.05} + 5\) - again the value would be greater than \(20\)
C. \(1.05(20) - 5 = 16\)
D. \(20 - \frac{5}{1.05} = 15.23\)
E. \(1.05(20 – 5) = 15.75\)
Hence, option C
Re: A retail item is offered at a discount of p percent (where p > 10),
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13 Apr 2021, 20:25
13 Apr 2021, 20:25
" If the state sales tax were not assessed" meaning of this statement
