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# Jacob’s weekly take-home pay is n dollars. Each week he uses 4n/5

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Math Expert
Joined: 02 Sep 2009
Posts: 58400
Jacob’s weekly take-home pay is n dollars. Each week he uses 4n/5  [#permalink]

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15 Oct 2018, 00:36
00:00

Difficulty:

25% (medium)

Question Stats:

81% (01:17) correct 19% (02:02) wrong based on 56 sessions

Jacob’s weekly take-home pay is n dollars. Each week he uses $$\frac{4n}{5}$$ dollars for expenses and saves the rest. At those rates, how many weeks will it take Jacob to save $500, in terms of n ? A $$\frac{500}{n}$$ B $$\frac{2,500}{n}$$ C $$\frac{n}{625}$$ D $$\frac{n}{2,500}$$ E $$625n$$ _________________ CEO Status: GMATINSIGHT Tutor Joined: 08 Jul 2010 Posts: 2974 Location: India GMAT: INSIGHT Schools: Darden '21 WE: Education (Education) Jacob’s weekly take-home pay is n dollars. Each week he uses 4n/5 [#permalink] ### Show Tags 15 Oct 2018, 01:18 Bunuel wrote: Jacob’s weekly take-home pay is n dollars. Each week he uses $$\frac{4n}{5}$$ dollars for expenses and saves the rest. At those rates, how many weeks will it take Jacob to save$500, in terms of n ?

A $$\frac{500}{n}$$

B $$\frac{2,500}{n}$$

C $$\frac{n}{625}$$

D $$\frac{n}{2,500}$$

E $$625n$$

Take Home weekly pay = n

Weekly Saving = n - (4/5)n = n/5

Weeks to be spent to save $500 = 500/(n/5) = 2500/n Answer: Option B _________________ Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION Director Joined: 19 Oct 2013 Posts: 519 Location: Kuwait GPA: 3.2 WE: Engineering (Real Estate) Re: Jacob’s weekly take-home pay is n dollars. Each week he uses 4n/5 [#permalink] ### Show Tags 15 Oct 2018, 04:57 Bunuel wrote: Jacob’s weekly take-home pay is n dollars. Each week he uses $$\frac{4n}{5}$$ dollars for expenses and saves the rest. At those rates, how many weeks will it take Jacob to save$500, in terms of n ?

A $$\frac{500}{n}$$

B $$\frac{2,500}{n}$$

C $$\frac{n}{625}$$

D $$\frac{n}{2,500}$$

E $$625n$$

One approach

Remaining = n - $$\frac{4n}{5}$$ = $$\frac{1n}{5}$$

500/(1n/5) =$$\frac{2500}{n}$$

Another approach would be to pick numbers n = 10

$$\frac{4n}{5} = 8$$

remaining 2

$$\frac{500}{2} = 250$$

$$\frac{500}{10} = 50$$ incorrect

$$\frac{2500}{10} = 250$$ correct.

Manager
Joined: 24 Dec 2017
Posts: 185
Location: India
Concentration: Strategy, Real Estate
Schools: Johnson '21
Re: Jacob’s weekly take-home pay is n dollars. Each week he uses 4n/5  [#permalink]

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15 Oct 2018, 08:46
Let n be 100
4n/5 = 80 (expenses) & remaining 20 (savings)

500/20 = 25 days

(B) 2500/100 = 25

Director
Joined: 09 Mar 2018
Posts: 996
Location: India
Re: Jacob’s weekly take-home pay is n dollars. Each week he uses 4n/5  [#permalink]

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15 Oct 2018, 21:07
In this question,i used this approach

Took salary earned by Jacob per week as 50 dollars

In this his expenses were 40 dollars and he saved 10 dollars

It is given that he saved 500 dollars after some weeks.

If you can notice as you increase the number of weeks, an AP is formed in the amount which he is saving per week,To Explain this

1st week $50 Expenses$40 Saved $10 2st week$100 Expenses $80 Saved$20
3st week $150 Expenses$120 Saved \$30

so in the
50th week
he saved 500 dollars, calculated by, last term = a + (n-1) d
where a =10, d =10 and last term = 500

Now you have to find out of the answer options which option will give you 50 as the answer

I feel Once you realize its an AP this is an easy approach.
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Re: Jacob’s weekly take-home pay is n dollars. Each week he uses 4n/5   [#permalink] 15 Oct 2018, 21:07
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