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If the sales tax on a $12.00 purchase is $0.66, what is the sales tax on a $20.00 purchase?

Expert replies
by BTGModeratorVI » Sun Mar 15, 2020 12:39 pm
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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

Answer: B
Source: Magoosh
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Source: — Problem Solving |

BTGModeratorVI wrote: ↑
Sun Mar 15, 2020 12:39 pm
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

Answer: B
Source: Magoosh
The sales tax on a $20.00 purchase = (0.66/12)*20 = $1.10

The correct answer: B

Hope this helps!

-Jay
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BTGModeratorVI wrote: ↑
Sun Mar 15, 2020 12:39 pm
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

Answer: B
Source: Magoosh
We can also solve this question using equivalent ratios

We're comparing sales tax to retail price
We get: sales tax/retail price = $0.66/$12.00

What is the sales tax on a $20.00 purchase?
Let x = the sales tax

We can write: $0.66/$12.00 = x/$20.00
Cross multiply to get: (0.66)(20) = (12)(x)
To make things easier, let's first divide both sides by 4 to get: (0.66)(5) = (3)(x)
Then divide both sides by 3 to get: (0.22)(5) = x
Evaluate: 1.10 = x

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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BTGModeratorVI wrote: ↑
Sun Mar 15, 2020 12:39 pm
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

Answer: B
Source: Magoosh
Solution:

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.

Alternate solution:

Since 0.66/12 = 0.055 = 5.5%, we see that the sales tax rate is 5.5%. Therefore, on a $20.00 purchase, the sales tax is 20 x 0.055 = $1.10.

Answer: B

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