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

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Intern
Joined: 19 Dec 2009
Posts: 26
A cashier mentally reversed the digits of one customer's correct amoun  [#permalink]

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Updated on: 21 Oct 2015, 00:02
2
4
00:00

Difficulty:

15% (low)

Question Stats:

78% (01:33) correct 22% (02:02) wrong based on 156 sessions

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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

Originally posted by rtaha2412 on 18 Oct 2010, 11:08.
Last edited by Bunuel on 21 Oct 2015, 00:02, edited 2 times in total.
Renamed the topic and edited the question.
Manager
Joined: 08 Sep 2010
Posts: 152
Location: India
WE 1: 6 Year, Telecom(GSM)
Re: A cashier mentally reversed the digits of one customer's correct amoun  [#permalink]

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18 Oct 2010, 11:21
9
1
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.

Consider KUDOS if it helped u in some way.
##### General Discussion
Senior Manager
Joined: 20 Aug 2015
Posts: 387
Location: India
GMAT 1: 760 Q50 V44
Re: A cashier mentally reversed the digits of one customer's correct amoun  [#permalink]

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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.

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.
Intern
Joined: 29 Aug 2015
Posts: 11
Re: A cashier mentally reversed the digits of one customer's correct amoun  [#permalink]

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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.
Math Expert
Joined: 02 Sep 2009
Posts: 58335
Re: A cashier mentally reversed the digits of one customer's correct amoun  [#permalink]

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21 Oct 2015, 11:30
1
HarrishGowtham wrote:
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.

Well, I think best approaches are given in the posts above.
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Joined: 02 Jun 2015
Posts: 74
Location: Brazil
Concentration: Entrepreneurship, General Management
GPA: 3.3
Re: A cashier mentally reversed the digits of one customer's correct amoun  [#permalink]

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21 Oct 2015, 11:57
2
You don't need to complicate too much.

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

Current Student
Status: DONE!
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Re: A cashier mentally reversed the digits of one customer's correct amoun  [#permalink]

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18 Oct 2016, 15:18
1
Question is asking you to play with the difference btwn each answer choice and its reciprocal to see which will give you \$0.45.

Thus, 83-38 = 45

E is correct.
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Joined: 09 Sep 2013
Posts: 13080
Re: A cashier mentally reversed the digits of one customer's correct amoun  [#permalink]

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27 Jan 2019, 09:04
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A cashier mentally reversed the digits of one customer's correct amoun   [#permalink] 27 Jan 2019, 09:04
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