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M19-25

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M19-25  [#permalink]

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New post 16 Sep 2014, 00:06
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A shop sells candy bars individually or in packs of 10. If the shop charges less for purchasing a pack of 10 candy bars than for purchasing 10 candy bars individually, then how much does the shop charge for purchasing a pack of 10 candy bars?


(1) The charge for purchasing a pack of 10 candy bars is $2 more than the charge for purchasing the 8 candy bars.

(2) The charge for purchasing a pack of 10 candy bars is 10 percent less than the charge for purchasing the 10 candy bars individually.

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Re M19-25  [#permalink]

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New post 16 Sep 2014, 00:06
Official Solution:


Say the price for purchasing a pack of 10 candy bars is \(x\) and the price for purchasing the candy bar individually is \(y\).

(1) The charge for purchasing a pack of 10 candy bars is $2 more than the charge for purchasing the 8 candy bars. Given: \(x=8y+2\). Two unknowns one equation. Not sufficient to calculate \(x\).

(2) The charge for purchasing a pack of 10 candy bars is 10 percent less than the charge for purchasing the 10 candy bars individually. Given: \(x=0.9*10y\). Two unknowns one equation. Not sufficient to calculate \(x\).

(1)+(2) We have two distinct linear equations with two unknowns so we can solve for \(x\) and \(y\). Sufficient.


Answer: C
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Re: M19-25  [#permalink]

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New post 04 Sep 2017, 00:18
Hi there

Just wondering if the first stmt could be true by itself?

From the facts we understand that one pack of 10 is cheaper than 10 individual bars. I.e. X < 10Y

From first statement we have that X-8Y=2

If X is less than 10Y but must be greater than 8Y, could we say that it should be 9Y here. Or am I am I just assuming that it should be an integer..
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Re: M19-25  [#permalink]

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New post 04 Sep 2017, 00:32
warmpied wrote:
Hi there

Just wondering if the first stmt could be true by itself?

From the facts we understand that one pack of 10 is cheaper than 10 individual bars. I.e. X < 10Y

From first statement we have that X-8Y=2

If X is less than 10Y but must be greater than 8Y, could we say that it should be 9Y here. Or am I am I just assuming that it should be an integer..


Yes, we are not told that x and y must be integers.
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Re: M19-25  [#permalink]

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New post 20 Dec 2017, 19:07
Bunuel wrote:
warmpied wrote:
Hi there

Just wondering if the first stmt could be true by itself?

From the facts we understand that one pack of 10 is cheaper than 10 individual bars. I.e. X < 10Y

From first statement we have that X-8Y=2

If X is less than 10Y but must be greater than 8Y, could we say that it should be 9Y here. Or am I am I just assuming that it should be an integer..


Yes, we are not told that x and y must be integers.


Bunuel technically, how a candy bar can be integer.
I think answer should be A.
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Re: M19-25  [#permalink]

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New post 20 Dec 2017, 19:25
Adityagmatclub wrote:
Bunuel wrote:
warmpied wrote:
Hi there

Just wondering if the first stmt could be true by itself?

From the facts we understand that one pack of 10 is cheaper than 10 individual bars. I.e. X < 10Y

From first statement we have that X-8Y=2

If X is less than 10Y but must be greater than 8Y, could we say that it should be 9Y here. Or am I am I just assuming that it should be an integer..


Yes, we are not told that x and y must be integers.


Bunuel technically, how a candy bar can be integer.
I think answer should be A.


Your question is not clear.

x = 8y + 2. Consider two cases:

x = 18 and y = 2 (notice x < 10y is satisfied);
x = 26 and y = 3 (notice x < 10y is satisfied).
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Re: M19-25  [#permalink]

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New post 02 Aug 2018, 13:57
Bunuel Hi,
please correct me..

I statement -: If is 8 candy is X then 10Pack is X+2 .. Not suffi
II Statement -:if 10 candy individually X then 10 Pack would be 9/10X ... NO suffie

Combine -: 8/X* 10 *9/10 = X+2 ..Give X^2 +2x - 72 , so shouldn't the ans be E
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Re: M19-25  [#permalink]

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New post 02 Aug 2018, 20:02
sunnyattri wrote:
Bunuel Hi,
please correct me..

I statement -: If is 8 candy is X then 10Pack is X+2 .. Not suffi
II Statement -:if 10 candy individually X then 10 Pack would be 9/10X ... NO suffie

Combine -: 8/X* 10 *9/10 = X+2 ..Give X^2 +2x - 72 , so shouldn't the ans be E


Let me ask you: what is the price for purchasing the candy bar individually in your equations? Is it x/8 or x/10? And could it be both? It's not clear what you've written there. It's better to denote by a variable the price for purchasing the candy bar individually.
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Re: M19-25  [#permalink]

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New post 02 Aug 2018, 22:14
@bunuel

let me ask you: what is the price for purchasing the candy bar individually in your equations? Is it x/8 or x/10? And could it be both? It's not clear what you've written there. It's better to denote by a variable the price for purchasing the candy bar individually.[/quote]

It's X/8 for one individual candy bar,so multiply by 10 to get the price for 10 Individual candy bar then i took 90% of that which in turn equal to X+2
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New post 02 Aug 2018, 22:22
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Re: M19-25  [#permalink]

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New post 02 Aug 2018, 22:28
sunnyattri wrote:

It's X/8 for one individual candy bar,so multiply by 10 to get the price for 10 Individual candy bar then i took 90% of that which in turn equal to X+2


Then it should be x + 2 = (x/8*10)*0.9, which gives x = 16.

Bunuel ya it should be! i don't know what calculation i did back there .. sorry for trouble and thanks.

But the approach is right?
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Re: M19-25  [#permalink]

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New post 02 Aug 2018, 22:30
sunnyattri wrote:
sunnyattri wrote:

It's X/8 for one individual candy bar,so multiply by 10 to get the price for 10 Individual candy bar then i took 90% of that which in turn equal to X+2


Then it should be x + 2 = (x/8*10)*0.9, which gives x = 16.

Bunuel ya it should be! i don't know what calculation i did back there .. sorry for trouble and thanks.

But the approach is right?


Yes, x + 2 = (x/8*10)*0.9 is correct.
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PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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