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An electronics store purchased a CD player at a wholesale price of 60$

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An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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An electronics store purchased a CD player at a wholesale price of 60$ and then sold it at a 40 percent discount off the original retail price. If the store made a 25 percent profit on the whole price of the CD player, what was the stores profit as a percent of the original retail price?

A. 10%
B. 12%
C. 15%
D. 18%
E. 20%
[Reveal] Spoiler: OA
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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email2vm wrote:
An electronics store purchased a CD player at a wholesale price of 60$ and then sold it at a 40 percent discount off the original retail price.
If the store made a 25 percent profit on the whole price of the CD player, what was the stores profit as a percent of the original retail price?

A> 10%
B> 12%
C> 15%
D> 18%
E> 20%

Need help with this questions


Hi,
here we just have to be careful what should be the BASE on which profit is being calculated..

WP = 60
ORP = R
Selling Price =S= 0.6R

% profit on \(WP = 25% = \frac{(0.6R-60)}{60} *100\)
R = 125..
Profit = 0.6R-60 = 75-60=15..

Profit as a percent of the original retail price =\(\frac{15}{R}*100 = \frac{15}{125}*100 =12\)
B
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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New post 09 Apr 2016, 03:16
chetan2u wrote:
email2vm wrote:
An electronics store purchased a CD player at a wholesale price of 60$ and then sold it at a 40 percent discount off the original retail price.
If the store made a 25 percent profit on the whole price of the CD player, what was the stores profit as a percent of the original retail price?

A> 10%
B> 12%
C> 15%
D> 18%
E> 20%

Need help with this questions


Hi,
here we just have to be careful what should be the BASE on which profit is being calculated..

WP = 60
ORP = R
Selling Price =S= 0.6R

% profit on \(WP = 25% = \frac{(0.6R-60)}{60} *100\)
R = 125..
Profit = 0.6R-60 = 75-60=15..

Profit as a percent of the original retail price =\(\frac{15}{R}*100 = \frac{15}{125}*100 =12\)
B


Oh dear lord...save me from making these silly mistakes

i was using 15/60 * 100 (i.e. 15/(WP))

Damn!

Ravi
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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New post 09 Apr 2016, 10:45
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email2vm wrote:
chetan2u wrote:
email2vm wrote:
An electronics store purchased a CD player at a wholesale price of 60$ and then sold it at a 40 percent discount off the original retail price.
If the store made a 25 percent profit on the whole price of the CD player, what was the stores profit as a percent of the original retail price?

A> 10%
B> 12%
C> 15%
D> 18%
E> 20%

Need help with this questions


Hi,
here we just have to be careful what should be the BASE on which profit is being calculated..

WP = 60
ORP = R
Selling Price =S= 0.6R

% profit on \(WP = 25% = \frac{(0.6R-60)}{60} *100\)
R = 125..
Profit = 0.6R-60 = 75-60=15..

Profit as a percent of the original retail price =\(\frac{15}{R}*100 = \frac{15}{125}*100 =12\)
B


Oh dear lord...save me from making these silly mistakes

i was using 15/60 * 100 (i.e. 15/(WP))

Damn!

Ravi



How come R=125???Plzz...
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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New post 09 Apr 2016, 12:05
rohit8865 wrote:
How come R=125???Plzz...


lets say, our original price is 100 and made 25% profit, this is equal to 125
we can also write this as 1.25
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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New post 09 Apr 2016, 18:39
zxcvbnmas wrote:
rohit8865 wrote:
How come R=125???Plzz...


lets say, our original price is 100 and made 25% profit, this is equal to 125
we can also write this as 1.25


not clear...
Original cost price already given is Wholesale price=$60....
then there must be some SP which on still giving 40% discount yeilds a 25%profit for seller...

Any explain plz.........
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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New post 17 Apr 2016, 22:41
rohit8865 wrote:
zxcvbnmas wrote:
rohit8865 wrote:
How come R=125???Plzz...


lets say, our original price is 100 and made 25% profit, this is equal to 125
we can also write this as 1.25


not clear...
Original cost price already given is Wholesale price=$60....
then there must be some SP which on still giving 40% discount yeilds a 25%profit for seller...

Any explain plz.........


Whole sale price is the cost prise for the store and the original retail price is the MRP .
40% discount is done on the MRP to get the SP.
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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zxcvbnmas wrote:
rohit8865 wrote:
How come R=125???Plzz...


lets say, our original price is 100 and made 25% profit, this is equal to 125
we can also write this as 1.25


No boss
u r not right...

finally seller makes a 25 % profit(of what...it is the WP)
means he gets Rs 75 (WP+25% of WP)
now he gets 75 from where....after fixing some retail price and giving 40 % discount on that retail price.
So 75=RP(1-40/100)
this gives RP=125
so profit=75-60=15 && RP=125
so ATQ.....(15/125)*100==12% As our Ans.
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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New post 20 Apr 2016, 08:19
chetan2u wrote:
email2vm wrote:
An electronics store purchased a CD player at a wholesale price of 60$ and then sold it at a 40 percent discount off the original retail price.
If the store made a 25 percent profit on the whole price of the CD player, what was the stores profit as a percent of the original retail price?

A> 10%
B> 12%
C> 15%
D> 18%
E> 20%

Need help with this questions


Hi,
here we just have to be careful what should be the BASE on which profit is being calculated..

WP = 60
ORP = R
Selling Price =S= 0.6R

% profit on \(WP = 25% = \frac{(0.6R-60)}{60} *100\)
R = 125..
Profit = 0.6R-60 = 75-60=15..

Profit as a percent of the original retail price =\(\frac{15}{R}*100 = \frac{15}{125}*100 =12\)
B


Dear chetan2u / Bunuel

Can you please explain how you derive R=125
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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smartguy595 wrote:
chetan2u wrote:
email2vm wrote:
An electronics store purchased a CD player at a wholesale price of 60$ and then sold it at a 40 percent discount off the original retail price.
If the store made a 25 percent profit on the whole price of the CD player, what was the stores profit as a percent of the original retail price?

A> 10%
B> 12%
C> 15%
D> 18%
E> 20%

Need help with this questions


Hi,
here we just have to be careful what should be the BASE on which profit is being calculated..

WP = 60
ORP = R
Selling Price =S= 0.6R

% profit on \(WP = 25% = \frac{(0.6R-60)}{60} *100\)
R = 125..
Profit = 0.6R-60 = 75-60=15..

Profit as a percent of the original retail price =\(\frac{15}{R}*100 = \frac{15}{125}*100 =12\)
B


Dear chetan2u / Bunuel

Can you please explain how you derive R=125


Does this makes any sense to you??...

finally seller makes a 25 % profit(of what...it is the WP)
means he gets Rs 75 (WP+25% of WP)
now he gets 75 from where....after fixing some retail price and giving 40 % discount on that retail price.
So 75=RP(1-40/100)
this gives RP=125
so profit=75-60=15 && RP=125
so ATQ.....(15/125)*100==12% As our Ans.
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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Store makes 25% on WP so Store sold CD for $75 ($60*.25+$60). The question tells us that the store sold the CD 40% off its ORP so 75=.6(ORP)=125. From here we just need to answer the specific question of what percent of the ORP was the stores profit..hence 15=x/100(125)=12%
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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New post 22 May 2016, 11:38
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r = retail price

Wholesale Price = $60
Sold Price = .6r

store made 25% profit on the wholesale price = (1.25)(60) = 125
r = 125

Sold price = (.6)(125) = 75

Profit = Rev - Cost = 75-60 = 15

Profit as a percent of retail price = \((15/125)*100 = 12\)
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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let me set up the equations again and bring the answer for u

BTW answer is 12%

cost price =$60
let actual retail price be R(the above price is not retail , its wholesale so don't confuse )
Retail price > Whole sale price(always)

so 40%discount on R =0.6R(selling price of th product )

so question says

selling price -cost price=profit

0.6R -60=25% of 60(whole sale price as per question)=15

R=125

question asks ( profit/actual retail price ) *100

15/125 *100=12%
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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email2vm wrote:
An electronics store purchased a CD player at a wholesale price of 60$ and then sold it at a 40 percent discount off the original retail price. If the store made a 25 percent profit on the whole price of the CD player, what was the stores profit as a percent of the original retail price?

A> 10%
B> 12%
C> 15%
D> 18%
E> 20%


We'll talk in percentage terms and use the good ol' unitary method..

Let Wholesale Price be p and Retail Price be r..

\(125p = 60r\)

The profit is 25% of p.
Thus, by using unitary method..

\(125p =60r\)

--> \(25p = 60*\frac{25}{125}*r\)

-->\(25p = 12r\)

Answer..12%(B)

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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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New post 14 Jul 2016, 14:03
Confusing.. Please spell out your explanation and write out full solutions. Thanks a lot!

Specific question: how did you get to R=125. did you assume r=100?
% profit on WP=25WP=25
R = 125..
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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New post 15 Jul 2016, 02:26
answer should be A as it is >10 % and our answer has come 12%..option B is >12%
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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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Re: An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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New post 21 Jul 2016, 03:19
VeritasPrepKarishma / Bunuel / chetan2u

Please explain how R=125 ?

Thanks a lot !
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An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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New post 22 Jul 2016, 03:02
Please explain how R=125 ?


Let me try to explain you as best as possible,

wholesale price of CD player 60$
Add:25 percent profit on the whole price
= Selling Price of the Store = $60+ $15 (25% profit)= $75


Now it is given that the store sold at 40% discount of the original price. So let original Price be $100(assumption: because percent is involved).
less= 40% discount = 100-40%= $60 (selling price to the store)

When the selling price to the store is $60 then original price is 100. there fore when selling price to the store is $75, the original price is?

100*75
= $125
60

Now the profit is $15 and original price is $125. SO the percent profit of original price is
$15*100 = 12%
$125
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An electronics store purchased a CD player at a wholesale price of 60$ [#permalink]

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New post 07 Sep 2016, 13:39
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Let original retail price = r, Given wholesale price = $60

r (original retail price) --> (purchased at wholesale price) $60 --> sold at 40% discount of original retail price i.e. (r*60/100)

Store made 25% profit on WHOLESALE price: ((selling price – wholesale price)/wholesale price) *100 = 25

=> ((0.6r-60)/60)* 100 = 25 => r = 125

$125 (original) --> $60 (wholesale) --> $75 (selling price)

Store Profit = 75-60 = $15
Profit as a percent of original retail price = (15/125)*100 = 12 %
An electronics store purchased a CD player at a wholesale price of 60$   [#permalink] 07 Sep 2016, 13:39

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