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Alice’s take-home pay last year was the same each month, and she saved [#permalink]

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20 Dec 2009, 06:58

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Alice’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?

Re: Alice’s take-home pay last year was the same each month, and she saved [#permalink]

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18 Apr 2011, 12:31

Alice's take-home pay last year was the same each month, and she saved the same fraction of her take home pay each month. The total amount she had saved at the end of the year was three times the amount of that portion of her monthly take home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take home pay did she save each month?

Is it problem if I don't assume monthly payment [as saving is said in fraction so payment is one] such as: saving is x fraction so, total saving of the year 12x according to the condition 12x = 3(1-x) 12x = 3-3x 12x+3x= 3 15x = 3 x = 3/15 = 1/5 or D ans. Please help if i did wrong. _________________

Re: Alice’s take-home pay last year was the same each month, and she saved [#permalink]

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18 Apr 2011, 12:34

Baten80 wrote:

Is it problem if I don't assume monthly payment [as saving is said in fraction so payment is one] such as: saving is x fraction so, total saving of the year 12x according to the condition 12x = 3(1-x) 12x = 3-3x 12x+3x= 3 15x = 3 x = 3/15 = 1/5 or D ans. Please help if i did wrong.

Re: Alice’s take-home pay last year was the same each month, and she saved [#permalink]

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07 Mar 2015, 07:00

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Re: Alice’s take-home pay last year was the same each month, and she saved [#permalink]

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07 Mar 2015, 08:22

Expert's post

msunny wrote:

Alice’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?

A. 1/2 B. 1/3 C. 1/4 D. 1/5 E. 1/6

Let Alice's monthly take-home pay be \(p\) and her monthly savings be \(s\). Total savings will be \(12s\) and we know that this is 3 times the amount she spends in month which is: \(p-s\). So we have:

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