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Charlene spent 2/5 of her income for January for rent, and 3/4 of the

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Charlene spent 2/5 of her income for January for rent, and 3/4 of the  [#permalink]

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New post 18 Feb 2018, 23:06
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A
B
C
D
E

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  5% (low)

Question Stats:

90% (01:59) correct 10% (02:09) wrong based on 93 sessions

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Re: Charlene spent 2/5 of her income for January for rent, and 3/4 of the  [#permalink]

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New post 18 Feb 2018, 23:19
Total income in January= x
Income spend on rent= \(\frac{2}{5}\)x

Remaining income= x-\(\frac{2}{5}\)x= \(\frac{3}{5}\)x

Income spend on expenses= \(\frac{3}{4}\)*\(\frac{3}{5}\)x=\(\frac{9}{20}\)x

Remaining income= \(\frac{3}{5}\)x - \(\frac{9}{20}\)x= \(\frac{3}{20}\)x

\(\frac{3}{20}\)x= 180

x= $1200

Answer: B.
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Charlene spent 2/5 of her income for January for rent, and 3/4 of the  [#permalink]

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New post 18 Feb 2018, 23:21
Bunuel wrote:
Charlene spent 2/5 of her income for January for rent, and 3/4 of the remainder on other expenses. If she put the remaining $180 in her savings account, how much was her income in January?

(A) $1,000

(B) $1,200

(C) $1,400

(D) $1,600

(E) $1,800


Let Charlene's income in January be x.

\(\frac{2}{5}*x + \frac{3}{4}*\frac{3}{5}*x + 180 = x\) -> \(\frac{2}{5}*x + \frac{9}{20}*x + 180 = x\)

\(x - \frac{2}{5}*x - \frac{9}{20}*x = 180\) -> \(\frac{3x}{20} = 180\) -> \(x = 180*\frac{20}{3} = $1200\)

Therefore, Charlene's income in January is $1200(Option B)
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Re: Charlene spent 2/5 of her income for January for rent, and 3/4 of the  [#permalink]

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New post 19 Feb 2018, 00:29
Bunuel wrote:
Charlene spent 2/5 of her income for January for rent, and 3/4 of the remainder on other expenses. If she put the remaining $180 in her savings account, how much was her income in January?

(A) $1,000

(B) $1,200

(C) $1,400

(D) $1,600

(E) $1,800


180 $ = 1/4 of saving

saving = 720 $ which is 3/5 of the income

so total = 720 x 5/3 = 1200

(b) imo
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Re: Charlene spent 2/5 of her income for January for rent, and 3/4 of the  [#permalink]

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New post 21 Feb 2018, 14:24
Bunuel wrote:
Charlene spent 2/5 of her income for January for rent, and 3/4 of the remainder on other expenses. If she put the remaining $180 in her savings account, how much was her income in January?

(A) $1,000

(B) $1,200

(C) $1,400

(D) $1,600

(E) $1,800


We can let n = the total income and create the following equation:

(2/5)n + (3/4)(3/5)n + 180 = n

(2/5)n + (9/20)n + 180 = n

Multiplying by 20 we have:

8n + 9n + 3,600 = 20n

3600 = 3n

1200 = n

Answer: B
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Re: Charlene spent 2/5 of her income for January for rent, and 3/4 of the  [#permalink]

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New post 13 Jan 2019, 09:55
Bunuel wrote:
Charlene spent 2/5 of her income for January for rent, and 3/4 of the remainder on other expenses. If she put the remaining $180 in her savings account, how much was her income in January?

(A) $1,000

(B) $1,200

(C) $1,400

(D) $1,600

(E) $1,800


let total salary be x
rent= 2x/5
left 3x/5 * 3/4 ; expenses =
2x/5+ 9x/20 + 180 = x

solve for x = 1200 IMO B
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Re: Charlene spent 2/5 of her income for January for rent, and 3/4 of the   [#permalink] 13 Jan 2019, 09:55
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