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A cashier mentally reversed the digits of one customer's correct amoun

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A cashier mentally reversed the digits of one customer's correct amoun [#permalink]

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New post 18 Oct 2010, 11:08
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A cashier mentally reversed the digits of one customer's correct amount of change and thus gave the customer an incorrect amount of change. If the cash register contained 45 cents more than it should have as a result of this error, which of the following could have been the correct amount of change in cents?

A 14
B 45
C 54
D 65
E 83
[Reveal] Spoiler: OA

Last edited by Bunuel on 21 Oct 2015, 00:02, edited 2 times in total.
Renamed the topic and edited the question.
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Re: A cashier mentally reversed the digits of one customer's correct amoun [#permalink]

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New post 18 Oct 2010, 11:21
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rtaha2412 wrote:
A cashier mentally reversed the digits of one customer's correct amount of change and this gave the customer an incorrect amount of change. Id the cash register contained 45 cents more than it should have as a result of this error, which of the following could have been the correct amount of change in cents.

A 14
B 45
C 54
D 65
E 83



Suppose the correct amount of Change is xy In place of that he has given yx change.

The decimal value of xy is 10x+y
and for yx it is 10y +x

According to the question ,the difference is 45 cents .

10x + y - (10y+x) =45
9(x-y)=45 or x-y=5

So the difference of two digit should be 5 and the only option with this criteria is 83.Hence answer is E.


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Re: A cashier mentally reversed the digits of one customer's correct amoun [#permalink]

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New post 21 Oct 2015, 00:01
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Re: A cashier mentally reversed the digits of one customer's correct amoun [#permalink]

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New post 21 Oct 2015, 03:58
rtaha2412 wrote:
A cashier mentally reversed the digits of one customer's correct amount of change and thus gave the customer an incorrect amount of change. If the cash register contained 45 cents more than it should have as a result of this error, which of the following could have been the correct amount of change in cents?

A 14
B 45
C 54
D 65
E 83


Assume the correct change to be 10x + y cents
Here x = tens digit and y - units digit
Reversed change = 10y + x

9x - 9y = 45
or x - y =5
Only Option E satisfies this criteria.
Hence the correct answer.

The other way to solve this question is to simply reverse the digits of the options and subtract from the given value.
Only Option E satisfies the condition.
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Re: A cashier mentally reversed the digits of one customer's correct amoun [#permalink]

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New post 21 Oct 2015, 09:31
Bunuel,
Does this problem require using a formula??? I was able to figure the answer just by skimming through the options.If there is some specific procedure to solve this problem. Do share the same.
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Re: A cashier mentally reversed the digits of one customer's correct amoun [#permalink]

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New post 21 Oct 2015, 11:30
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Re: A cashier mentally reversed the digits of one customer's correct amoun [#permalink]

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New post 21 Oct 2015, 11:57
You don't need to complicate too much.

Just check the answers and reverse the numbers until you get 45.
83 - 38 = 45

Answer E
Re: A cashier mentally reversed the digits of one customer's correct amoun   [#permalink] 21 Oct 2015, 11:57
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A cashier mentally reversed the digits of one customer's correct amoun

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