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Re: Originally, the bill for Quon's meal wass $11.88, which included an 8% [#permalink]
gmatophobia wrote:
yrozenblum wrote:
Originally, the bill for Quon's meal wass $11.88, which included an 8% tax on the cost of the meal. Quon presentend a discount coupon for 25% off the cost of his meal. Quon's final bill was the discounted cost of the meal plus the 8% tax on the discounted cost of the meal. How much was Quon's finall bill?

A. $8.91
B. $8.93
C. $9.13
D. $9.62
E. $11.63


Let's assume that the cost of Quon's meal was $x

\(\frac{108x}{100} = 11.88\)

\(x = \frac{1188}{108}\)

Discount = 25%

Therefore cost of meal after discount = \(\frac{3}{4} * \frac{1188}{108}\)

Discounted Bill + 8% tax = \(\frac{3}{4} * \frac{1188}{108} * \frac{108}{100} = 8.91\)

Option A




hey,
why did we take 108/100 for 8% tax? shouldn't it be just 8/100?
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Originally, the bill for Quon's meal wass $11.88, which included an 8% [#permalink]
Jyotimishra wrote:
hey,
why did we take 108/100 for 8% tax? shouldn't it be just 8/100?


hello,

The information provided in the question premise mentions that $11.88 was the amount of the meal including tax. It's not just the tax component.

Quote:
Originally, the bill for Quon's meal was $11.88, which included an 8% tax on the cost of the meal.


Let's assume that the cost of the meal = $\(x\)

Tax = \(\frac{8}{100} * x = 0.08x\)

Total Amount = Cost of the meal + Tax = \(x + 0.08x = 1.08x = \frac{108x}{100}\)

Let me know if this doesn't help.
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Re: Originally, the bill for Quon's meal wass $11.88, which included an 8% [#permalink]
gmatophobia wrote:
Jyotimishra wrote:
hey,
why did we take 108/100 for 8% tax? shouldn't it be just 8/100?


hello,

The information provided in the question premise mentions that $11.88 was the amount of the meal including tax. It's not just the tax component.

Quote:
Originally, the bill for Quon's meal was $11.88, which included an 8% tax on the cost of the meal.


Let's assume that the cost of the meal = $\(x\)

Tax = \(\frac{8}{100} * x = 0.08x\)

Total Amount = Cost of the meal + Tax = \(x + 0.08x = 1.08x = \frac{108x}{100}\)

Let me know if this doesn't help.


Hey,
in the first part of the question where we have to calculate x I understood 108/100 but in the second half where u wrote “ Discounted Bill + 8% tax =” we already did the discounted bill calculation (3/4*x) then why did we multiply again with 108/100 instead of just 8/100 for 8% tax?
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Originally, the bill for Quon's meal wass $11.88, which included an 8% [#permalink]
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Jyotimishra wrote:
Hey,
in the first part of the question where we have to calculate x I understood 108/100 but in the second half where u wrote “ Discounted Bill + 8% tax =” we already did the discounted bill calculation (3/4*x) then why did we multiply again with 108/100 instead of just 8/100 for 8% tax?


The \(25\)% discount was applied to the meal (base price of the meal). Hence, we have used the factor \(\frac{3}{4}\) along with the price of the meal (denoted by x). However, the question asks us to find the value of the final bill. Quon's final bill was the discounted cost of the meal plus the 8% tax on the discounted cost of the meal.

Discounted cost of the meal = \(\frac{3}{4} * \frac{1188}{108}\)

The value of the final bill can be computed as follows -

Final Bill = Discounted cost of the meal + 8% tax on the discounted cost of the meal.

=\(\frac{3}{4} * \frac{1188}{108}\) + \(\frac{8}{100}*\frac{3}{4} * \frac{1188}{108}\)

= \(\frac{3}{4} * \frac{1188}{108}*(1 + \frac{8}{100})\)

= \(\frac{3}{4} * \frac{1188}{108} * \frac{108}{100}\)
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Re: Originally, the bill for Quon's meal wass $11.88, which included an 8% [#permalink]
Bunuel, this one appeared in FE Official Mock. Please tag it.
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Re: Originally, the bill for Quon's meal wass $11.88, which included an 8% [#permalink]
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AnkurGMAT20 wrote:
Bunuel, this one appeared in FE Official Mock. Please tag it.


Added the tag. Thank you very much for paying attention to this matter and keeping an eye on this. This is very helpful!
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Originally, the bill for Quon's meal wass $11.88, which included an 8% [#permalink]
 
Bunuel wrote:
AnkurGMAT20 wrote:
Bunuel, this one appeared in FE Official Mock. Please tag it.

Added the tag. Thank you very much for paying attention to this matter and keeping an eye on this. This is very helpful!

­
So does that mean the tag with Gmat Prep Focus contains questions from official Mocks 1 to 6?­ Please let me know.­
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Re: Originally, the bill for Quon's meal wass $11.88, which included an 8% [#permalink]
Expert Reply
Lowpoint wrote:
Bunuel wrote:
AnkurGMAT20 wrote:
Bunuel, this one appeared in FE Official Mock. Please tag it.

Added the tag. Thank you very much for paying attention to this matter and keeping an eye on this. This is very helpful!

­
So does that mean the tag with Gmat Prep Focus contains questions from official Mocks 1 to 6?­ Please let me know.­

­
______________
Yes, that's correct. 
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Originally, the bill for Quon's meal wass $11.88, which included an 8% [#permalink]
Quote:
Yes, that's correct. 

­And the ones tagged "GMAT Prep" are from the retrired exams? i.e Not Focus? ­
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Re: Originally, the bill for Quon's meal wass $11.88, which included an 8% [#permalink]
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Lowpoint wrote:
Quote:
Yes, that's correct. 

­And the ones tagged "GMAT Prep" are from the retrired exams? i.e Not Focus? ­

­___________________________________
Yes!
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Originally, the bill for Quon's meal wass $11.88, which included an 8% [#permalink]
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Quote:
Originally, the bill for Quon's meal was $11.88, which included an 8% tax on the cost of the meal. Quon presented a discount coupon for 25% off the cost of his meal. Quon's final bill was the discounted cost of the meal plus the 8% tax on the discounted cost of the meal. How much was Quon's final bill?

­just discount the total bill that includes certain amount of tax, since when doing so the extra tax Quon would have paid will be deducted simultaneously.
the tax rate in this question is a distraction, as we can see the order of operations doesn't matter.­

\((\frac{11.88}{1.08 } × \frac{3}{4}) × 1.08 = (\frac{11.88}{1.08 } × 1.08) × \frac{3}{4}\)­
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Originally, the bill for Quon's meal wass $11.88, which included an 8% [#permalink]
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­In case it helps someone when simplifying
1188 = 108*11
108 = 2^2 * 3^3

108*11/108 = 11
Now: 11*3/4*108/100;
11*3*3^3/100;
11*3^4/100;
11*81/100;
891/100 = 8,91­
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Originally, the bill for Quon's meal wass $11.88, which included an 8% [#permalink]
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