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yrozenblum
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Originally, the bill for Quon's meal wass $11.88, which included an 8% Updated on: 30 Sep 2023, 13:50
Originally posted by yrozenblum on 30 Sep 2023, 12:58.
Last edited by gmatophobia on 30 Sep 2023, 13:50, edited 1 time in total.
Corrected spelling errors
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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45% (medium)

Question Stats:

76% (02:32) correct 24% (02:49) wrong based on 1438 sessions

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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?

A. $8.91
B. $8.93
C. $9.13
D. $9.62
E. $11.63
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A
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LucienH
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Originally, the bill for Quon's meal wass $11.88, which included an 8% 01 Oct 2023, 10:03
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Initial bill before tax = 11.88/0.92

untaxed discounted price = 0.75 * (11.88/0.92)

taxed discounted price = 0.75 * (11.88/0.92) * 0.92

the 0.92 cancel out

0.75 * 11.88 = 8.91

Ans A
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gmatophobia
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Originally, the bill for Quon's meal wass $11.88, which included an 8% 30 Sep 2023, 13:49
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yrozenblum
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
Show more

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
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Jyotimishra
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Originally, the bill for Quon's meal wass $11.88, which included an 8% 08 Oct 2023, 08:42
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gmatophobia
yrozenblum
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
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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% 08 Oct 2023, 08:53
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Jyotimishra

hey,
why did we take 108/100 for 8% tax? shouldn't it be just 8/100?
Show more

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.
Show more

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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Originally, the bill for Quon's meal wass $11.88, which included an 8% 08 Oct 2023, 23:42
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Jyotimishra

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.
Show more

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% 09 Oct 2023, 22:42
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Jyotimishra

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?
Show more

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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Originally, the bill for Quon's meal wass $11.88, which included an 8% 08 Apr 2024, 10:23
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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?
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­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% 28 Jun 2024, 09:36
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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% 17 Oct 2024, 22:52
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yrozenblum
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?

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

Responding to a pm:

We DO NOT NEED to calculate the pre-tax bill amount and then take 25% off that.
Say the pre-tax bill amount was x. Given:

\(x + .08x = 11.88\)

What I need to find is the bill amount once a 25% discount is taken and then the 8% tax on this new bill amount. This is what I need:

\(\\
0.75x + .08*(0.75x) \\
= 0.75 * (x + .08x) \\
\)

This (x + .08x) is just the current total bill amount of $11.88. So all we have to do is find 3/4th of the $11.88 (discount of 25%)

\(\frac{3}{4} * $11.88 = $8.91\)

In simple words, a 25% discount on the pre-tax bill will automatically lead to a 25% discount on the tax (basics of percentages) and hence all we need to do is take a 25% discount on the given amount of $11.88.

Answer (A)

Percentages are discussed here: https://youtu.be/HxnsYI1Rws8
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Originally, the bill for Quon's meal wass $11.88, which included an 8% 24 Nov 2024, 20:00
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yrozenblum
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?

A. $8.91
B. $8.93
C. $9.13
D. $9.62
E. $11.63
Show more
Given:
11.88 = X + 8X/100
X = 11

Discount coupon – 0.25 x 11 = 11/4
New price of the meal = 11 – 11/4 = 33/4

Final Bill
= 33/4 + (8*33/4)/100

= 8.25 + 0.66

= $8.91
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Originally, the bill for Quon's meal wass $11.88, which included an 8% 03 Jan 2025, 05:06
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11.88/0.92 should be 11.88/1.08 -- it works fine here because it cancels out but otherwise you are technically adding the factor representing the tax rate (or 1 minus the tax rate, since tax was 8%).
LucienH
Initial bill before tax = 11.88/0.92

untaxed discounted price = 0.75 * (11.88/0.92)

taxed discounted price = 0.75 * (11.88/0.92) * 0.92

the 0.92 cancel out

0.75 * 11.88 = 8.91

Ans A
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Originally, the bill for Quon's meal wass $11.88, which included an 8% 03 Jan 2025, 06:23
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yrozenblum
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?

A. $8.91
B. $8.93
C. $9.13
D. $9.62
E. $11.63
Show more
If the original bill was $b, Quon had 25% discount on that followed by an increase of 8% due to tax
Thus, effectively, the original bill would be multiplied with 0.75 (25% decrease) and then again with 1.08 (8% tax)
Thus, final bill would be $(0.75 * 1.08 * b)

In the question, the value of the bill along with the 8% tax i.e. 1.08b is given equal to 11.88

Thus, we have: Final bill = 0.75 * 1.08b = 0.75 * 11.88 = $8.91
Ans A
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Originally, the bill for Quon's meal wass $11.88, which included an 8% 08 Jul 2025, 23:46
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It will be 1+8/100 = 108/100
Jyotimishra
gmatophobia
yrozenblum
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?
Show more
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