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# After the price of chocolates was discounted by 40%, a

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Manager
Joined: 25 Jun 2012
Posts: 56
After the price of chocolates was discounted by 40%, a  [#permalink]

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Updated on: 30 Oct 2012, 23:05
5
00:00

Difficulty:

55% (hard)

Question Stats:

66% (02:16) correct 34% (02:34) wrong based on 170 sessions

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After the price of chocolates was discounted by 40%, a shopper can buy 4 more chocolates for $12 than he could buy at the original price. How many chocolates could be bought for$12 at the original price?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 16

Originally posted by actleader on 30 Oct 2012, 22:49.
Last edited by Bunuel on 30 Oct 2012, 23:05, edited 1 time in total.
Edited the tags.
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Re: After the price of chocolates was discounted by 40%, a shopp  [#permalink]

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30 Oct 2012, 23:21
12
3
Price per chocolate = P, No. Of choclotaes = N
PN = 12
0.6P(N+4) = 12
P(N+4) = 20
4P = 8
P=2
N=6

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Re: After the price of chocolates was discounted by 40%, a  [#permalink]

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30 Oct 2012, 23:12
1
1
After the price of chocolates was discounted by 40%, a shopper can buy 4 more chocolates for $12 than he could buy at the original price. How many chocolates could be bought for$12 at the original price?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 16

Say for $12 at the original price a shopper can buy $$x$$ chocolates, then, the original price is $$\frac{12}{x}$$ and discounted price is $$0.6*\frac{12}{x}$$. For$12 at the discounted price a shopper can buy $$\frac{12}{(\frac{0.6*12}{x})}=\frac{x}{0.6}=\frac{10x}{6}$$ chocolates.

Given that $$x+4=\frac{10x}{6}$$ --> $$x=6$$.

Hope it's clear.
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Re: After the price of chocolates was discounted by 40%, a  [#permalink]

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31 Oct 2012, 12:31
Also we can solve it as following:
[12][/P] - number of bars of chocolate can be bought originally, where P is price of one bar of chocolate
0.6*P - new, discounted price of bar of chocolate and
12/0.6*P - number of bars of chocolate we can buy or [20][/P].

We are at the middle of the task

[12][/6] - [20][/P] = 4 and the price of 1 bar of chocolate = 2

so originally we can buy [12][/2] = 6

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Re: After the price of chocolates was discounted by 40%, a  [#permalink]

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04 Nov 2012, 12:30
(Q0 + 4) * 0.6* P0 = Q0 * P0 ==> Q0 = 6
Brother Karamazov
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Re: After the price of chocolates was discounted by 40%, a  [#permalink]

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03 Jan 2014, 08:49
After the price of chocolates was discounted by 40%, a shopper can buy 4 more chocolates for $12 than he could buy at the original price. How many chocolates could be bought for$12 at the original price?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 16

Since 0.6 P means a decrease of 40% then Q has to increase 40%

4 = 40%x then X is 10

Now since originally price was P then P will have to increase 40%
Then we need to decrease Q again 40%
So 0.6 Q = 6

Bunuel, is this approach valid?

Cheers
J
Math Expert
Joined: 02 Sep 2009
Posts: 57191
Re: After the price of chocolates was discounted by 40%, a  [#permalink]

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03 Jan 2014, 09:00
jlgdr wrote:
After the price of chocolates was discounted by 40%, a shopper can buy 4 more chocolates for $12 than he could buy at the original price. How many chocolates could be bought for$12 at the original price?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 16

Since 0.6 P means a decrease of 40% then Q has to increase 40%

4 = 40%x then X is 10

Now since originally price was P then P will have to increase 40%
Then we need to decrease Q again 40%
So 0.6 Q = 6

Bunuel, is this approach valid?

Cheers
J

The price decreases 3/5 times, thus the quantity increases by 5/3 times --> x+4=5/3*x --> x=6.
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Re: After the price of chocolates was discounted by 40%, a  [#permalink]

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19 May 2016, 07:03
After the price of chocolates was discounted by 40%, a shopper can buy 4 more chocolates for $12 than he could buy at the original price. How many chocolates could be bought for$12 at the original price?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 16

Let the Price of Chocolate before discount is x and after reduction it is .6x so

Total no of chocolates which can be brought before discount is 12/x and after discount 12/.6x

No of Chocolates brought after discount are 4 more than the number of chocolates brought before discount Hebce

12/.6x - 12/x = 4 ===> 20/x-12/x =4 ===> (20-12)/x = 4

x=2 so Total number of chocolates brought before the price reduction is 12/2 = 6
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Re: After the price of chocolates was discounted by 40%, a  [#permalink]

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19 May 2016, 09:27
Let the number of chocolates bought in $12= n Price for each chocolate= x nx= 12 After price reduction to .60x one can buy 4 more chocolate= n+4 xn=.6x(n+4) .4n=2.4 n=6 _________________ I welcome critical analysis of my post!! That will help me reach 700+ Math Expert Joined: 02 Aug 2009 Posts: 7755 Re: After the price of chocolates was discounted by 40%, a [#permalink] ### Show Tags 19 May 2016, 09:38 1 actleader wrote: After the price of chocolates was discounted by 40%, a shopper can buy 4 more chocolates for$12 than he could buy at the original price. How many chocolates could be bought for $12 at the original price? (A) 6 (B) 8 (C) 10 (D) 12 (E) 16 Hi, another method- If we read the info and the price involved is 12 in original and final scenario, it tells us that NOW you can buy 4 chocolates for 40% price, so for 100%, one can buy 4*100/40 = 10... But earlier he could buy 4 less so answer = 10-4 = 6 A _________________ Current Student Status: DONE! Joined: 05 Sep 2016 Posts: 368 Re: After the price of chocolates was discounted by 40%, a [#permalink] ### Show Tags 18 Oct 2016, 18:11 From the prompt we can derive the following equations: PQ=12 (P-0.40P)(Q+4) = 12 (0.60P)(Q+4)= 12 0.60PQ+2.4P= 12 7.2 + 2.4P = 12 2.4P = 4.8 P = 2 (original price) 12/2 = 6 (original quantity) Senior Manager Joined: 08 Dec 2015 Posts: 287 GMAT 1: 600 Q44 V27 After the price of chocolates was discounted by 40%, a [#permalink] ### Show Tags 13 Feb 2017, 12:39 To continue my correction spree: "an buy 4 more chocolates for$12 than he could"

IMO the "for" induces the test taker in error. It indicates that each chocolate costs 12\$.

The correct word is "with" 12 dollars to clearly indicate that 12 refers to the total budget and not to the individual chocolate price.

Am I the only one here?
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Re: After the price of chocolates was discounted by 40%, a  [#permalink]

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Re: After the price of chocolates was discounted by 40%, a   [#permalink] 04 Aug 2019, 08:10
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