A soccer store typically sells replica jerseys at a discount : Problem Solving (PS)

guerrero25

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A soccer store typically sells replica jerseys at a discount [#permalink]

Updated on: 18 Oct 2017, 09:47

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A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off from the discount price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?

A. 20
B. 25
C. 30
D. 40
E. 50

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Originally posted by guerrero25 on 22 Jan 2014, 07:14.
Last edited by Mahmud6 on 18 Oct 2017, 09:47, edited 2 times in total.

Edited the question to remove the ambiguity and keep it in line with OG (https://gmatclub.com/forum/a-toy-store-regularly-sells-all-stock-at-a-discount-of-103585.html?fl=similar).

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

22 Jan 2014, 18:45

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IMO answer is C - 30%

50% of LP: 80 * 50%

addt'l 20% off LP: 80 * 20%

(80*50% - 80*20%) = 80 (50%-20%)
=80(30%)

if the question read something like "everything in the store is an additional 20 % off the discounted price" then I would get D.

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thefibonacci

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

22 Jan 2014, 08:15

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guerrero25 wrote:

A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?

A. 20
B. 25
C. 30
D. 40
E. 50

Let the list price be 2x
for min sale price, the first discount given should be 50%, 2x becomes x here
now, during summer sale additional 20% off is given ie sale price becomes 0.8x

it is given lise price is $80
=> 2x = 80
=> x = 40
and 0.8x = 32

so lowest sale price is 32, which is 40% of 80

hence, D is the answer
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christianbze

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

22 Jan 2014, 11:48

$80 * \frac{5}{10} * \frac{80}{10} = 80 * \frac{40}{100}$

therefore it is 40% off.

But in my understanding it is not 100% clear, whether the additional 20% are on the already discounted price or just added to the 50% which would make it 70% off.
Additional is, like the word implies, an addition. So 50%+20% = 70%...

D

rvgmat12

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

25 Oct 2014, 08:22

Original list price = 80

Discount of 50% = 40
Additional 20% = 40*.8 = 32

% of original list price = 40%

Thoughtosphere

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

25 Oct 2014, 11:59

guerrero25 wrote:

A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?

A. 20
B. 25
C. 30
D. 40
E. 50

$80 is just a redundant data here. If we calculate the successive %age, we'll get the answer.

First - 50% Second - 20%
$50 + 20 - 50*20/100 = 60%$
So, after 60% discount, the price will be 40%

Ans. D

kishgau

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

27 Oct 2014, 02:35

I'm feeling a bit lost here :-

Assuming original list price 100,

100 -- --- after 50% off list price----> 50 ------ after 30% discount -----> 35 ------ after additional 20% off 'original' list price -------> 35 - 20 = 15

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bionication

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

27 Oct 2014, 12:12

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The way this question is worded is a bit misleading, since it uses to word "list price" in two different contexts. First, the 30%-50% discount is applied only to the list price. Secondly, the 20% summer special is also applied ONLY to the list price. Some people could argue that it isn't possible to apply both discounts, since applying the latter discount would no longer deem the new price as a "list price."

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

27 Oct 2014, 19:18

bionication wrote:

The way this question is worded is a bit misleading, since it uses to word "list price" in two different contexts. First, the 30%-50% discount is applied only to the list price. Secondly, the 20% summer special is also applied ONLY to the list price. Some people could argue that it isn't possible to apply both discounts, since applying the latter discount would no longer deem the new price as a "list price."

Dear bionication,

The initial discount is 50% of the list price which makes the new price $40. Since the second discount is on the list price, the 20% discount amounts to $16. So total discount is $56. Please note there is a percentage concept of successive discount, which, I believe, you are confusing with over here.

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bionication

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

28 Oct 2014, 10:24

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Dear Thoughtosphere

If we were to use your suggestion and calculate the lowest possible price ($80-$56=$24), the answer would be 30%, which is incorrect. This question DOES require sequential, successive percentage ($80x50% = $40 x 20% = 32; $32/80 = 40%), but is worded in a manner that does NOT implicate doing so.

Hope that clarifies my point! :-)

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

13 Apr 2015, 11:52

additional 20 percent off the original list price

Does the 20% off on the original price means original list price $ 80 or off on the discounted price 30-50 % of the list price?

Considering later one answer comes out to be 30 % and for former case answer will be 40 %.
What I understood from the question is that original list price is $ 80, but then OA is 30 % , so where is the catch ?

guerrero25 wrote:

A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?

A. 20
B. 25
C. 30
D. 40
E. 50

L

rohit8865

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

29 May 2016, 04:11

veergmat wrote:

additional 20 percent off the original list price

Does the 20% off on the original price means original list price $ 80 or off on the discounted price 30-50 % of the list price?

Considering later one answer comes out to be 30 % and for former case answer will be 40 %.
What I understood from the question is that original list price is $ 80, but then OA is 30 % , so where is the catch ?

guerrero25 wrote:

A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?

A. 20
B. 25
C. 30
D. 40
E. 50

already a regular sale is 30-50% given to buyers.and a ADDITIONAL sale of 20% is given as summer sale...
so additional is discount over that 30-50% discount
Ans will be 40%

B

TimeTraveller

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

24 Jun 2017, 20:06

Since the question asks for lowest possible sale price, the discount % must be the highest.

Original discount = 50%
Additional discount = 20% of remaining 50% = 10%
Total discount = 60%

List price of the jersey = $80.

What percent of $80 is the lowest possible sale price? The lowest possible sale price = 40%(80) = $32.
So, 32/80 * 100 = 40%. Ans - D.
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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

03 Dec 2017, 19:33

guerrero25 wrote:

A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off from the discount price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?

A. 20
B. 25
C. 30
D. 40
E. 50

Initial cost of the jersey= 80 dollars
if the max discount is 50%, then .5(80)= $40
If we take an additional 20% off we get .2(40)=$8 --> $40-$8= $32

32/80 is equal to 40% so the correct answer is D.

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

09 Feb 2018, 12:26

Expert Reply

Hi All,

This question is oddly worded, but the 'intent' of it is that second discount is supposed to be applied to the 'new' price (and not the 'original' price). In that way, this question is ultimately about step-by-step arithmetic.

Jersey Price = $80
Max 1st discount = 50%
Price after 1st discount = $80 - $80(.50) = $80 - $40 = $40

Additional discount = 20%
Price after 2nd discount = $40 - $40(.20) = $40 - $8 = $32

The lowest possible price, relative to the original price = 32/80 = 4/10 = 40%

Final Answer:

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D

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mbafinhopeful

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

10 Feb 2018, 00:23

Lowest possible sale price = Maximum discount.

LP = List Price, SP = Sale Price.

LP = $80, typical SP = 50%($80) = $40. Summer SP = 80%($40) = $32.

So, the lowest possible SP is 32/80 * 100 = 40% of the list price. (D).

L

Fdambro294

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A soccer store typically sells replica jerseys at a discount [#permalink]

28 Jun 2021, 01:28

(To try to answer the question in your Head with few calculations)

Maximum discount:

(1st) 50% discount of $80

Take (1/2) away ———-> $40

(2nd) additional 20%

To calculate 10% of a number, move the decimal place one spot to the left ——-> $40 >>>> 10% of 40 = 4

20% is double that amount or ——- $8

$40 - $8 = 32

(3rd) 32 as a percent of original list price of 80

$32/$80 = 4/10 = 40/100

Or

40%

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

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Re: A soccer store typically sells replica jerseys at a discount [#permalink]

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