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If the sales tax on a $12.00 purchase is $0.66, what is the sales tax

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If the sales tax on a $12.00 purchase is $0.66, what is the sales tax [#permalink]

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New post 24 Jan 2018, 23:47
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Re: If the sales tax on a $12.00 purchase is $0.66, what is the sales tax [#permalink]

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New post 24 Jan 2018, 23:52
B

Let x be the sales tax rate.

$12*x/100= 0.66
Solving x=22/4%

For $20,
22/4*20/100=$1.10


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Re: If the sales tax on a $12.00 purchase is $0.66, what is the sales tax [#permalink]

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New post 25 Jan 2018, 08:17
Bunuel wrote:
If the sales tax on a $12.00 purchase is $0.66, what is the sales tax on a $20.00 purchase?

A. $1.08
B. $1.10
C. $1.16
D. $1.18
E. $1.20

\(\frac{0.66}{12}*20\) = 1.10, Answer will be (B)
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Re: If the sales tax on a $12.00 purchase is $0.66, what is the sales tax [#permalink]

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New post 26 Jan 2018, 22:47
Bunuel wrote:
If the sales tax on a $12.00 purchase is $0.66, what is the sales tax on a $20.00 purchase?

A. $1.08
B. $1.10
C. $1.16
D. $1.18
E. $1.20


Simple by using cross-multiplication Method,

\($12 ---- $0.66\)
\($20 ----- $x\)

\(x = $1.1\)
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If the sales tax on a $12.00 purchase is $0.66, what is the sales tax [#permalink]

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New post 11 Mar 2018, 04:43
niks18 Hatakekakashi

Where am I faltering in approximation here?

Let x be the sales tax rate.

$12*x/100= 0.66
Solving x=66/12 . . . . . (1)
which is slightly more than 66/11 which in simplified form is 6 . . . ..(2)
Since on comparing (1) with (2)
(1) is having higher denominator my fraction will be slightly smaller than (2)
So x could be closer to 5.8 or 5.9

Now closest value when multiplied with $20 which is closest to , but smaller than 6
gives final value as something just very close but smaller than 1.2, which is (D)
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Re: If the sales tax on a $12.00 purchase is $0.66, what is the sales tax [#permalink]

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New post 11 Mar 2018, 05:02
adkikani wrote:
niks18 Hatakekakashi

Where am I faltering in approximation here?

Let x be the sales tax rate.

$12*x/100= 0.66
Solving x=66/12 . . . . . (1)
which is slightly more than 66/11 which in simplified form is 6 . . . ..(2)
Since on comparing (1) with (2)
(1) is having higher denominator my fraction will be slightly smaller than (2)
So x could be closer to 5.8 or 5.9

Now closest value when multiplied with $20 which is closest to , but smaller than 6
gives final value as something just very close but smaller than 1.2, which is (D)


Hi adkikani

why you need approximation here. Let's say sales tax is x%

so 12*x%=0.66 => x%=0.66/12

So sales tax on $20 will be 20*x%=20*0.66/12=1.1

You will get the answer directly. no need to approximate
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If the sales tax on a $12.00 purchase is $0.66, what is the sales tax [#permalink]

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New post 11 Mar 2018, 23:52
adkikani wrote:
niks18 Hatakekakashi

Where am I faltering in approximation here?

Let x be the sales tax rate.

$12*x/100= 0.66
Solving x=66/12 . . . . . (1)
which is slightly more than 66/11 which in simplified form is 6 . . . ..(2)
Since on comparing (1) with (2)
(1) is having higher denominator my fraction will be slightly smaller than (2)
So x could be closer to 5.8 or 5.9

Now closest value when multiplied with $20 which is closest to , but smaller than 6
gives final value as something just very close but smaller than 1.2, which is (D)


there is no need to approximate

try the unitary method

12 - 0.66
20 - ? (x)

x= \(\frac{20*0.66}{12}\) = \(\frac{10*0.66}{6}\) = 10x.11 = 1.1

approximate when there are no values given
hope this helps
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Re: If the sales tax on a $12.00 purchase is $0.66, what is the sales tax [#permalink]

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New post 13 Mar 2018, 17:08
Bunuel wrote:
If the sales tax on a $12.00 purchase is $0.66, what is the sales tax on a $20.00 purchase?

A. $1.08
B. $1.10
C. $1.16
D. $1.18
E. $1.20


If we let n = the sales tax on the 20 dollar purchase, we can create a proportion and solve for n:

0.66/12 = n/20

20 x 0.66 = 12n

13.2 = 12n

13.2/12 = n

1.1 = n

Thus, the sales tax is $1.10.

Answer: B
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Re: If the sales tax on a $12.00 purchase is $0.66, what is the sales tax   [#permalink] 13 Mar 2018, 17:08
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