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The money is paid into account in portions of \$500 and paid

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Joined: 11 May 2008
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The money is paid into account in portions of \$500 and paid [#permalink]

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01 Sep 2008, 04:27
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The money is paid into account in portions of \$500 and paid out in portions of \$300. If after a month the account grew by \$1,200, what is the least possible number of transactions that could have been made?

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01 Sep 2008, 12:07
arjtryarjtry wrote:
The money is paid into account in portions of \$500 and paid out in portions of \$300. If after a month the account grew by \$1,200, what is the least possible number of transactions that could have been made?

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500*3-1*300=1200
Ans -4
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01 Sep 2008, 12:24
arjtryarjtry wrote:
The money is paid into account in portions of \$500 and paid out in portions of \$300. If after a month the account grew by \$1,200, what is the least possible number of transactions that could have been made?

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500*3-1*300=1200
Ans -4

Yes that's right but we should have some conceptual approach for this

and here it goes

let the no of times money paid into account is x
and no of times money paid out of account is y

500x-300y=1200
or, 5x-3y=12
or, x = 12+3y/5
or, x = 2 + (2+3y)/5
and both x and y should be an integer as no. of transactions made should be in integer

take y = 1 as (2+3y) to be divisible by 5 should be a multiple of 5
then x = 3

then total no. of transactions made will be x + y = 4
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Re: debit and credit   [#permalink] 01 Sep 2008, 12:24
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