Store N gives a 50 percent discount on the list price of all its items : Problem Solving (PS)

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KarishmaB

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

06 Nov 2019, 05:09

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gmatt1476 wrote:

Store N gives a 50 percent discount on the list price of all its items and Store W gives a 60 percent discount on the list price of all its items. If the list price of the same item is 20 percent higher in Store W, what percent (more or less) of the selling price in Store N is the selling price of the item in Store W ?

A. 10% less
B. 4% less
C. 2% less
D. 10% more
E. 12% more

PS76302.01

Store N Selling Price = L * (50/100) = L/2

Store W Selling Price = L * (6/5) * (40/100) = 12L/25

% diff = (12L/25 - L/2) / (L/2) * 100 = - 4%

Selling price of store W is 4% less than selling price of store N.

Answer (B)

So store W selling price is 0.5L/25 (= 2%) less than selling price at store N.

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

21 Sep 2019, 08:45

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LIST PRICE = 100
Store N = 50
Store W = 40
Now store W = 40*1.2 ; 48
so
%∆ ; 50-48/50 ; 4% less IMO B

gmatt1476 wrote:

Store N gives a 50 percent discount on the list price of all its items and Store W gives a 60 percent discount on the list price of all its items. If the list price of the same item is 20 percent higher in Store W, what percent (more or less) of the selling price in Store N is the selling price of the item in Store W ?

A. 10% less
B. 4% less
C. 2% less
D. 10% more
E. 12% more

PS76302.01

B

siddharthaggarwal

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

23 Nov 2021, 14:20

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Rebaz wrote:

Quote:

what percent (more or less) of the selling price in Store N is the selling price of the item in Store W ?

The final question is very confusing to me.

Can someone please shed light on the last sentence of this question with simple examples?

Thanks in advance!

you can do like this; what percent (more or less) of 50 is 48?

48 is 4% less than 50.

Posted from my mobile device

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

10 Nov 2020, 18:41

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N selling price = 100
W selling price = 120
N after 50% discount = 50
W after 60% discount = 48

48/50 = 2/50 = 4%

Answer is B.

B

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

21 Sep 2019, 08:43

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N = N price W = W price

We are looking for W/N

Then 1/2N * 6/5 = 2/5 W; 3N=2W ; W/N =3/2 >> 33.3% more.

What I am doing wrong ?

Thank you in advance!

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

16 Mar 2020, 11:44

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Lets consider List price of N is 100

N - List price = 100 = 50% discount = SP = 50
W - List Price (20% higher than LP of N)= 120 = discount = 60% = SP = 48

SP of N-W = 50-48 = 2 which is 4%

SP of W is 4% less than SP of N

Ans: B

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

05 Nov 2019, 13:15

VeritasKarishma, I wanted to solve this using fractions, as seen in one of your previous posts, but not sure what i`m doing wrong

Store N: List Price = X ; Selling price (50% discount) = X/2
Store W: List Price = X*6/5 ( 20% more than store N) ; Selling Price = 2/5 * 6/5 * X

What percent (more or less) of the selling price in Store N is the selling price of the item in Store W = (2/5 * 6/5 * X)/(X/2) * 100% ..... but it does not add up

Any tips?

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

04 Jun 2020, 11:37

Enrique92 wrote:

N = N price W = W price

We are looking for W/N

Then 1/2N * 6/5 = 2/5 W; 3N=2W ; W/N =3/2 >> 33.3% more.

What I am doing wrong ?

Thank you in advance!

We are looking for (W-N)/N. The question asks for more or less.
Also, W=6/5N. This is the equation for list price.

You have equated the prices after discount inclusive of list price equation. This is wrong.

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

04 Jun 2020, 11:45

VeritasKarishma wrote:

gmatt1476 wrote:

Store N gives a 50 percent discount on the list price of all its items and Store W gives a 60 percent discount on the list price of all its items. If the list price of the same item is 20 percent higher in Store W, what percent (more or less) of the selling price in Store N is the selling price of the item in Store W ?

A. 10% less
B. 4% less
C. 2% less
D. 10% more
E. 12% more

PS76302.01

Store N Selling Price = L * (50/100) = L/2

Store W Selling Price = L * (6/5) * (40/100) = 12L/25

% diff = (12L/25 - L/2) / (L/2) * 100 = - 4%

Selling price of store W is 4% less than selling price of store N.

Answer (B)

So store W selling price is 0.5L/25 (= 2%) less than selling price at store N.

Should be 4%. Since$ \frac{0.5L}{(25*0.5L)}*100 = 4%$

B

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

21 Oct 2020, 23:42

Let List Price in N=$100
It is given that List Price of W is 20% greater than that of N=1.2*100=$120

Now, SP of N after a discount of 50%=0.5*100=$50
and SP of W after a discount of 60%=0.4*120=$48

Therefore, SP of W compared to N=(50-40)/50 * 100 =$4 less (Option B)

Alternatively, Since LP of N=100 and when compared to SP of N, it is 50*2=$100
Similarly, we can say LP for W = 48*2=$96
Thus, $100-$96=$4 (less than LP of N). Hence, Option B

B

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Store N gives a 50 percent discount on the list price of all its items [#permalink]

04 Feb 2021, 04:28

Quote:

what percent (more or less) of the selling price in Store N is the selling price of the item in Store W ?

The final question is very confusing to me.

Can someone please shed light on the last sentence of this question with simple examples?

Thanks in advance!

D

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

22 Nov 2021, 07:36

gmatt1476 wrote:

Store N gives a 50 percent discount on the list price of all its items and Store W gives a 60 percent discount on the list price of all its items. If the list price of the same item is 20 percent higher in Store W, what percent (more or less) of the selling price in Store N is the selling price of the item in Store W ?

A. 10% less
B. 4% less
C. 2% less
D. 10% more
E. 12% more

PS76302.01

GMATBusters can't we convert this sentence what percent of the selling price in Store N is the selling price of the item in Store W to ?/100 * 50 = 48? Why is this incorrect?

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siddharthaggarwal

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

23 Nov 2021, 14:31

Hoozan wrote:

gmatt1476 wrote:

Store N gives a 50 percent discount on the list price of all its items and Store W gives a 60 percent discount on the list price of all its items. If the list price of the same item is 20 percent higher in Store W, what percent (more or less) of the selling price in Store N is the selling price of the item in Store W ?

A. 10% less
B. 4% less
C. 2% less
D. 10% more
E. 12% more

PS76302.01

GMATBusters can't we convert this sentence what percent of the selling price in Store N is the selling price of the item in Store W to ?/100 * 50 = 48? Why is this incorrect?

that is incorrect.

question is asking what percent less of 50 is 48?

x/100*50=2
x=4% less

Posted from my mobile device

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debjyoti31

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

28 Nov 2021, 07:35

when I am calculating for the percentage more or less as -- ( 50 -48) / 50 which is 4%, its N which is 4% more than W. Then why all the explanation says 4 % less ? I am not understanding. Please help.

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adewale223

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

24 Dec 2022, 04:10

Let list price in store N be X and that of store W be y

50% discount for x

0.5x

60% discount for y

0.4y

List price for store W 20% more

1.2x

So discount for store W

0.4 X 1.2x

0.48x

Therefore

0.5x - 0.48x

0.02x

0.02x/0.5x X 100

4% less.

Posted from my mobile device

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

24 Dec 2022, 07:49

Given: Store N gives a 50 percent discount on the list price of all its items and Store W gives a 60 percent discount on the list price of all its items.
Asked: If the list price of the same item is 20 percent higher in Store W, what percent (more or less) of the selling price in Store N is the selling price of the item in Store W ?

Store N:-
List price = x
Selling price = (1-50%)x = .5x

Store W:-
List price = 1.2x
Selling price = (1-60%)1.2x = .4*1.2x = .48x

Selling price of Store W / Selling price of Store N = .48x/.5x = 96% = 100% -4%

IMO B

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

14 Feb 2023, 09:37

Expert Reply

gmatt1476 wrote:

Store N gives a 50 percent discount on the list price of all its items and Store W gives a 60 percent discount on the list price of all its items. If the list price of the same item is 20 percent higher in Store W, what percent (more or less) of the selling price in Store N is the selling price of the item in Store W ?

A. 10% less
B. 4% less
C. 2% less
D. 10% more
E. 12% more

PS76302.01

STRATEGY:
We will translate the question from English to Math as we read it. So, we will first translate all the given information and then what we need to find.
This will help you understand everything in thorough detail and leave no scope for confusion later on.
Let’s go!

GIVEN – Understand the given information - TRANSLATE:

The list price of a certain item is 20% higher in Store W than in Store N. (It’s the same item we are talking about. Let’s call it item X.)
- Say the list price of item X at Store N is ‘n’. -----(1)
- Then, the list price of the same item at store W is 20% more than n, that is, 1.2n. ---- (2)
Store N gives a 50% discount on the list price of all its items.
- So, the selling price of item X at store N is 50% less than n. (From (1))
- That is, n – (50% of n) = n – 0.5n = 0.5n. ----- (3)
Store W gives a 60% discount on the list price of all its items. 
- So, the selling price of item X at store W is 60% less than 1.2n. (From (2))
- That is, 1.2n – (60% of 1.2n) = 1.2n – 0.72n = 0.48n. ----- (4)

TO ANSWER – Understand the question - TRANSLATE:

What percent (more or less) of the selling price in Store N is the selling price of the item in Store W?

Using (3) and (4) above, we can rewrite the question as: “What percent (more or less) of 0.5n is 0.48n?”

In simpler words, “what percent more/less is 0.48n than 0.5n?”
TRANSLATE: Mathematically, this percentage will be: $\frac{(0.48n − 0.5n)}{0.5n} × 100$. ----- (5)
- Note that since 0.48n < 0.5n, the % in (5) will give “what percent LESS 0.48n is than 0.5n”.

SOLUTION:
Now that we understand the question, finding the final answer is just super easy!

Required Percentage:

From (5), we want to find $\frac{(0.48n − 0.5n)}{0.5n} × 100$.
= $\frac{−0.02n}{0.5n} × 100$
= - 0.04 × 100
= 4% LESS

Correct Answer: Choice B

TAKEAWAYS:

“x% more than y” is calculated by y + (x% of y).
“What percent more is A than B” is calculated by $\frac{A−B}{B} × 100$.
“What percent less is A than B” is calculated by $\frac{B−A}{B} × 100$.

Hope this helps!

Shweta Koshija
Quant Product Creator, e-GMAT

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Re: Store N gives a 50 percent discount on the list price of all its items [#permalink]

14 Feb 2023, 09:37

GMAT Problem Solving (PS) Questions

Store N gives a 50 percent discount on the list price of all its items