Amount Employee Paid

[nycmathguy]

The price of a pair of sneakers was $80 for the last six months of last year. On January first, the price increased 20%. After the price increase, an employee bought these sneakers with a 10% employee discount. What price did the employee pay?

(A) $70.40
(B) $82.00
(C) $83.33
(D) $86.40
(E) $88.00

Let me see.

On January first, the price of the sneakers went up by 16%. This means the sneakers price is $96.
An employee purchased the sneakers with a 10% discount.

A 10% discount:

$96 • 0.10 = $9.60.

So, $96 minus $9.60 = $86.40.

I say choice (D).

 

[MathLover1]

On January first, the price increased 20%.
$80+0.20*80=96

 

[nycmathguy]

On January first, the price increased 20%.
$80+0.20*80=96

On January first, the price of the sneakers went up by 20%. This means the sneakers price is $96.
An employee purchased the sneakers with a 10% discount.

A 10% discount:

$96 • 0.10 = $9.60.

So, $96 minus $9.60 = $86.40.

I say choice (D).

If the answer is not choice (D), then what's the answer?

Thanks.

 

[MathLover1]

choice (D) is the correct answer, I just pointed to mistake you made writing "On January first, the price of the sneakers went up by 16%. This means the sneakers price is $96." How did you get $96 using 16%?

If it was 16% the sneakers price would be $80+0.16*80=92.8 NOT $96

 

[nycmathguy]

choice (D) is the correct answer, I just pointed to mistake you made writing "On January first, the price of the sneakers went up by 16%. This means the sneakers price is $96." How did you get $96 using 16%?

If it was 16% the sneakers price would be $80+0.16*80=92.8 NOT $96

It was a typo at my end. I uses 16% in place of 20% and for some reason, I got the right answer in terms of $96. See it?

 

[MathLover1]

I saw it.

 

[nycmathguy]

I saw it.

More word problems later. Back to precalculus on Friday.

 

[HallsofIvy]

It was a typo at my end. I uses 16% in place of 20% and for some reason, I got the right answer in terms of $96. See it?

That's because 20% of $80 is $16 and increasing $80 by $16 is $96.

 

[nycmathguy]

That's because 20% of $80 is $16 and increasing $80 by $16 is $96.

Quick and to the point.