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# Maria pays 1/8 of her monthly income for food, 1/8 for utilities, 1/8

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Manager
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Joined: 12 Aug 2017
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GMAT 1: 750 Q50 V42
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Maria pays 1/8 of her monthly income for food, 1/8 for utilities, 1/8  [#permalink]

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Updated on: 16 Aug 2017, 23:28
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Difficulty:

15% (low)

Question Stats:

83% (02:07) correct 17% (02:08) wrong based on 38 sessions

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Maria pays $$\frac{1}{8}$$ of her monthly income for food, $$\frac{1}{8}$$ for utilities, $$\frac{1}{8}$$ for student loans, and $$\frac{4}{5}$$ of the remainder for rent. If at the end of each month Maria puts $$\frac{1}{2}$$ of her remaining income into a CD account, what portion of her monthly income does she puts into the account?

A. $$\frac{1}{8}$$

B. $$\frac{1}{10}$$

C. $$\frac{7}{80}$$

D. $$\frac{1}{16}$$

E. $$\frac{1}{20}$$

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Originally posted by HolaMaven on 16 Aug 2017, 21:58.
Last edited by Bunuel on 16 Aug 2017, 23:28, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Maria pays 1/8 of her monthly income for food, 1/8 for utilities, 1/8  [#permalink]

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16 Aug 2017, 22:14
Assume her income as 80
so payment for
Food = $$\frac{1}{8}$$ * 80 = 10
Utilities = $$\frac{1}{8}$$ * 80 = 10
Student Loan = $$\frac{1}{8}$$ * 80 =10
Remainder = 80-(10+10+10) = 50
Rent = $$\frac{4}{5}$$ * 50 = 40
Remainder = 50-40=10
Account = $$\frac{1}{2}$$ * 10 =5
Fraction of Income into account = $$\frac{5}{80}$$ = $$\frac{1}{16}$$
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Re: Maria pays 1/8 of her monthly income for food, 1/8 for utilities, 1/8  [#permalink]

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16 Aug 2017, 23:34
HolaMaven wrote:
Maria pays $$\frac{1}{8}$$ of her monthly income for food, $$\frac{1}{8}$$ for utilities, $$\frac{1}{8}$$ for student loans, and $$\frac{4}{5}$$ of the remainder for rent. If at the end of each month Maria puts $$\frac{1}{2}$$ of her remaining income into a CD account, what portion of her monthly income does she puts into the account?

A. $$\frac{1}{8}$$

B. $$\frac{1}{10}$$

C. $$\frac{7}{80}$$

D. $$\frac{1}{16}$$

E. $$\frac{1}{20}$$

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https://gmatclub.com/forum/each-month-a ... 17941.html (MAGOOSH)
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Hope it helps.
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Maria pays 1/8 of her monthly income for food, 1/8 for utilities, 1/8  [#permalink]

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17 Aug 2017, 08:18
1
HolaMaven wrote:
Maria pays $$\frac{1}{8}$$ of her monthly income for food, $$\frac{1}{8}$$ for utilities, $$\frac{1}{8}$$ for student loans, and $$\frac{4}{5}$$ of the remainder for rent. If at the end of each month Maria puts $$\frac{1}{2}$$ of her remaining income into a CD account, what portion of her monthly income does she puts into the account?

A. $$\frac{1}{8}$$

B. $$\frac{1}{10}$$

C. $$\frac{7}{80}$$

D. $$\frac{1}{16}$$

E. $$\frac{1}{20}$$

I think HolaMaven 's approach is the quickest. IMO this problem's challenge is to be meticulous regardless of approach. Easiest for me after reading the prompt: track on what remains after each deduction.

1) What portion is left after Maria pays for food, utilities, and loans? Each is $$\frac{1}{3}$$ of her total monthly income ( = 1).

1 - [3 * $$(\frac{1}{8})$$]

1 - $$\frac{3}{8}$$= $$\frac{5}{8}$$ remains

2) Rent = $$\frac{4}{5}$$ of the remaining $$\frac{5}{8}$$ -- what portion is left after she pays rent?

$$\frac{5}{8}$$ -$$(\frac{4}{5}$$ *$$\frac{5}{8})$$ =

$$\frac{5}{8}$$ - $$\frac{1}{2}$$ = $$\frac{1}{8}$$ remaining

3) CD = $$\frac{1}{2}$$ of the remaining $$\frac{1}{8}$$

$$\frac{1}{2}$$ * $$\frac{1}{8}$$ = $$\frac{1}{16}$$

$$\frac{1}{16}$$ is the portion of her monthly income that goes to her CD account

Answer D
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Maria pays 1/8 of her monthly income for food, 1/8 for utilities, 1/8   [#permalink] 17 Aug 2017, 08:18
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# Maria pays 1/8 of her monthly income for food, 1/8 for utilities, 1/8

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