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The retail price of a sweater is $32. If the store can sell the sweate

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Bunuel
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The retail price of a sweater is $32. If the store can sell the sweate [#permalink] New post   18 Apr 2017, 05:05
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The retail price of a sweater is $32. If the store can sell the sweater at a 25% discount and still earn a 25% profit on the price it paid the manufacturer for the sweater, how much did the store pay to the manufacturer?

A. $16
B. $17.20
C. $18
D. $18.60
E. $19.20
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E
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Re: The retail price of a sweater is $32. If the store can sell the sweate [#permalink] New post   Updated on: 19 Apr 2017, 18:47
MRP : 32$, if he is offering a discount of 25%,
SP is 3/4rth of 32$ = 24$
If he needs to make a 25% profit,
CP. Profit. SP
100. 25. 125
This is in proportion 4:1:5
If 5 parts is 24$, 4 parts will be (24*4)/5 =19.2(Option E)

Thanks for pointing out the error. Made the necessary change!

Originally posted by pushpitkc on 18 Apr 2017, 07:22.
Last edited by pushpitkc on 19 Apr 2017, 18:47, edited 3 times in total.
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Re: The retail price of a sweater is $32. If the store can sell the sweate [#permalink] New post   18 Apr 2017, 10:00
I think the answer is $19.2.

(32*0.75)/1.25=19.2
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Re: The retail price of a sweater is $32. If the store can sell the sweate [#permalink] New post   18 Apr 2017, 17:25
The retail price of a sweater is $32. If the store can sell the sweater at a 25% discount and still earn a 25% profit on the price it paid the manufacturer for the sweater, how much did the store pay to the manufacturer?

25% discount gives \(\frac{32}{4}\)=8 so price = 32-8 = 24
As shop still earns a profit of 25%, the cost price is 24-24*\(\frac{1}{4}\)=18
Option: C
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:he retail price of a sweater is $32. If the store can sell the sweate [#permalink] New post   18 Apr 2017, 18:01
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Bunuel wrote:
The retail price of a sweater is $32. If the store can sell the sweater at a 25% discount and still earn a 25% profit on the price it paid the manufacturer for the sweater, how much did the store pay to the manufacturer?

A. $16
B. $17.20
C. $18
D. $18.60
E. $19.20



Hi,

Those who have answered C as answer, you will have to relook into answer..

Remember ( in such Q)
1) if it's discount, the % will be on the amount/retail price.
2) if it's profit, the amount already contains the profit & so profit will not be on retail price.

Let's see the Q..

Retail price is 32..
Shopkeeper gives a discount of 25% so the price he sells at is \(32*\frac{100-25}{100}=24\)..

Now this has a profit of 25%, so actual price becomes... \(24=\frac{100+25}{100}*x\) where x is actual price.
So x= 24*4/5=19.2

E
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Re: The retail price of a sweater is $32. If the store can sell the sweate [#permalink] New post   24 Apr 2017, 16:53
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Bunuel wrote:
The retail price of a sweater is $32. If the store can sell the sweater at a 25% discount and still earn a 25% profit on the price it paid the manufacturer for the sweater, how much did the store pay to the manufacturer?

A. $16
B. $17.20
C. $18
D. $18.60
E. $19.20


Since the shop owner needs to make a 25% profit, he needs to make 25% of his cost. We can express this in the following equation, in which P = profit and C = cost:

P = 0.25C

Since Profit = Revenue - Cost, and the sweater was discounted 25%, we have the following equation:

(0.75)(32) - C = 0.25C

24 = 1.25C

2400/125 = C

C = 19.2

Answer: E
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Re: The retail price of a sweater is $32. If the store can sell the sweate [#permalink] New post   25 Apr 2017, 19:41
Bunuel wrote:
The retail price of a sweater is $32. If the store can sell the sweater at a 25% discount and still earn a 25% profit on the price it paid the manufacturer for the sweater, how much did the store pay to the manufacturer?

A. $16
B. $17.20
C. $18
D. $18.60
E. $19.20



Bunuel

plz change the tag from work/rate to percent problem !!!
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Re: The retail price of a sweater is $32. If the store can sell the sweate [#permalink] New post   26 Apr 2017, 01:09
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rohit8865 wrote:
Bunuel wrote:
The retail price of a sweater is $32. If the store can sell the sweater at a 25% discount and still earn a 25% profit on the price it paid the manufacturer for the sweater, how much did the store pay to the manufacturer?

A. $16
B. $17.20
C. $18
D. $18.60
E. $19.20



Bunuel

plz change the tag from work/rate to percent problem !!!

______________________
Edited the tags. Thank you.
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Re: The retail price of a sweater is $32. If the store can sell the sweate [#permalink] New post   26 Apr 2017, 01:29
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Bunuel wrote:
The retail price of a sweater is $32. If the store can sell the sweater at a 25% discount and still earn a 25% profit on the price it paid the manufacturer for the sweater, how much did the store pay to the manufacturer?

A. $16
B. $17.20
C. $18
D. $18.60
E. $19.20



Hey,

    • Retail Price or MRP \(= $ 32\)
    • Percent discount \(= 25\)%
      o Hence Selling Price (SP) \(= 32 * ( 1- \frac{1}{4}) = $ 24\)
    • Profit earned \(= 25\)%
      o We can write, \(CP * ( 1 + \frac{1}{4}) = SP = $24\)
      o Hence, \(CP = $ 19.2\)
    • This CP is the amount paid by the store to the manufacturer. Hence the correct answer is Option E.


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Re: The retail price of a sweater is $32. If the store can sell the sweate [#permalink] New post   16 Jun 2019, 11:00
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Re: The retail price of a sweater is $32. If the store can sell the sweate [#permalink]
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