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# the price of chocolate is reduced by 30% and the new price i

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Manager
Joined: 04 Jan 2013
Posts: 80
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the price of chocolate is reduced by 30% and the new price i [#permalink]

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25 Jan 2013, 14:13
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Difficulty:

35% (medium)

Question Stats:

67% (01:28) correct 33% (01:18) wrong based on 9 sessions

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The price of chocolate is reduced by 30% and the new price is further reduced by 25%.these two reductions are a single reduction of?

A.30% B.40% C.47% D.15% E.55%

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Posted from my mobile device

Edit: by carcass
[Reveal] Spoiler: OA
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Re: the price of chocolate is reduced by 30% and the new price i [#permalink]

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25 Jan 2013, 18:19
Are you sure, that your results are correct ?

Normally it would be:

x*(1-0,3)*(1-0,25) = x*0,7*0,75 = 0,525 = 52,5%.
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Re: the price of chocolate is reduced by 30% and the new price i [#permalink]

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25 Jan 2013, 18:58
**The problem should have asked for 'approximate value' as the choices do not include the exact value 47.5.

Assume price of chocolate as 100
Then the reduced price = $$100*(0.70)*(0.75) = 52.5$$
Total reduction = $$100-52.5 =47.5 \approx{47}$$

Hence Choice(C) should be the answer
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Manager
Joined: 04 Jan 2013
Posts: 80
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Kudos [?]: 8 [0], given: 1

Re: the price of chocolate is reduced by 30% and the new price i [#permalink]

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26 Jan 2013, 06:11
Alexmsi wrote:
Are you sure, that your results are correct ?

Normally it would be:

x*(1-0,3)*(1-0,25) = x*0,7*0,75 = 0,525 = 52,5%.

@ prapon even though the problem could have asked for approximation,IMO the solution could have been what alexmsi has gotten but unfortunately it is not one of the answer choices above..how did you come by the answer choice C?
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Re: the price of chocolate is reduced by 30% and the new price i [#permalink]

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26 Jan 2013, 06:27
chiccufrazer1 wrote:
Alexmsi wrote:
Are you sure, that your results are correct ?

Normally it would be:

x*(1-0,3)*(1-0,25) = x*0,7*0,75 = 0,525 = 52,5%.

@ prapon even though the problem could have asked for approximation,IMO the solution could have been what alexmsi has gotten but unfortunately it is not one of the answer choices above..how did you come by the answer choice C?

first of all the lack of such description in the question stem, as pointed out by Prapron suggests that this is not a gmat-like question

Moreover this is a successive %

Pick 100 reduced by 30 % we have 70 reduced again by 25 % we have 17.5% so the overall decrease is 47.5 % so C must be the answer

Hope this helps
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Manager
Joined: 04 Jan 2013
Posts: 80
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Kudos [?]: 8 [0], given: 1

Re: the price of chocolate is reduced by 30% and the new price i [#permalink]

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26 Jan 2013, 08:27
carcass wrote:
chiccufrazer1 wrote:
Alexmsi wrote:
Are you sure, that your results are correct ?

Normally it would be:

x*(1-0,3)*(1-0,25) = x*0,7*0,75 = 0,525 = 52,5%.

@ prapon even though the problem could have asked for approximation,IMO the solution could have been what alexmsi has gotten but unfortunately it is not one of the answer choices above..how did you come by the answer choice C?

first of all the lack of such description in the question stem, as pointed out by Prapron suggests that this is not a gmat-like question

Moreover this is a successive %

Pick 100 reduced by 30 % we have 70 reduced again by 25 % we have 17.5% so the overall decrease is 47.5 % so C must be the answer

Hope this helps

ya it really helps carcass..but am still left with little understanding on why we added 17.5 to 30..i also wonder why 17.5 has been represented in percent,because looking at the problem above,17.5 is a value that we need to subtract from 70 when reduced by 25 percent..would you please explain why you added 17.5 to 30 but not 25 to 30 if we are get total percentage.
Re: the price of chocolate is reduced by 30% and the new price i   [#permalink] 26 Jan 2013, 08:27
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