cost of article: x = 100%
cost of article including 15% taxes: x + 15% = 100 + 15 = 115%
if 115% = $138.00
therefore 100% = (100*138)/115 = $120
so cost of article without tax: $120.00
2007-06-14 18:20:21
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answer #1
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answered by jurassicko 4
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Let x be the cost of the article without tax.
So, the tax over the article is 15 % * x = (15 / 100 ) = 0.15 x
Given that the cost of the article with 15% tax is $138.
Therefore,
The cost of the article with tax is,
( Cost without tax ) + ( Tax ) = $ 138
x + ( 0.15 ) x = 138
x ( 1 + 0.15 ) = 138
1.15 x = 138
x = (138) / (1.15 )
= 120
That is,
The cost of the article without tax is $120.
And the tax = $ 18.
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2007-06-14 18:27:02
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answer #2
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answered by Jay 1
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Let x be the cost of the article without tax.
Adding 15% tax is same as multiplying x by 1.15
So, 1.15x = 138
x = 138/1.15 = 120
We can verify this by calculating 15% of 120 and adding to it.
120 x 15/100 = 18 dollars.
Adding it, we get 138 dollars which is the given value.
So, the cost of the article without tax is $120
2007-06-14 19:07:21
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answer #3
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answered by Swamy 7
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1.15x = 138
x = 138 / 1.15
x = 120
x is the cost before the tax.
Since there's a 15% tax, you add 0.15 times the total cost of x to the original cost, so 1x + 0.15x = 1.15x
The problem states that the price with the tax (1.15x) is equal to 138. Set the two equal and solve for x.
2007-06-14 18:17:40
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answer #4
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answered by Pi_Boy314 2
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It is 138=x+(.15x). x= Original cost. The .15x is 15% of the original 138=1.15x Divide by 1.15 x=120.
2016-04-01 08:37:45
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answer #5
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answered by Marie 4
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$138 Total cost with 15% for taxes
$138 x .15= 20.70
Before the 15% tax the coat costs $138- $20.70=$117.30
2007-06-14 18:20:04
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answer #6
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answered by Dave aka Spider Monkey 7
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So 115% = $138.00
So 100% = $138.00 / 115 = $120.00
2007-06-14 18:15:48
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answer #7
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answered by Anonymous
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Come on dude, this is really easy. Pay attention in class.
$138/1.15 = $120. $120 x 1.15 = $138
2007-06-14 18:17:50
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answer #8
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answered by Anonymous
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x = price w/o tax
r = tax
t = price w/ tax
x * r = t
x * 1.15 = 138.00
x = 138 / 1.15
x = 120
2007-06-14 18:16:46
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answer #9
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answered by bourqueno77 4
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