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Math Expert V
Joined: 02 Sep 2009
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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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Question Stats: 90% (01:59) correct 10% (02:09) wrong based on 93 sessions

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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

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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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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. _________________ Kindly hit kudos if my post helps! Senior PS Moderator V Joined: 26 Feb 2016 Posts: 3386 Location: India GPA: 3.12 Charlene spent 2/5 of her income for January for rent, and 3/4 of the [#permalink] ### Show Tags 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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GMAT 1: 710 Q49 V36 Re: Charlene spent 2/5 of her income for January for rent, and 3/4 of the  [#permalink]

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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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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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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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If you liked my solution then please give Kudos. Kudos encourage active discussions. 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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# Charlene spent 2/5 of her income for January for rent, and 3/4 of the

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