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# A salesperson travels weekly to a client's office and returns...

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Intern
Joined: 22 Sep 2015
Posts: 3
GPA: 3.9
A salesperson travels weekly to a client's office and returns... [#permalink]

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21 Jun 2017, 18:54
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A salesperson travels weekly to a client's office and returns by the same route. If the salesperson travels to the client's office and then completes 25% of the return trip, what percent of the round-trip has been completed?

A 12.5%
B 25%
C 62.5%
D 75%
E 81%
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Aug 2009
Posts: 5660
Re: A salesperson travels weekly to a client's office and returns... [#permalink]

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21 Jun 2017, 19:10
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Expert's post
Tking1167 wrote:
A salesperson travels weekly to a client's office and returns by the same route. If the salesperson travels to the client's office and then completes 25% of the return trip, what percent of the round-trip has been completed?

A 12.5%
B 25%
C 62.5%
D 75%
E 81%

Hi..
He has travelled 100% of initial journey and then 25% of the 100% of return journey..

Since both ways distance is SAME, he travels (100+25)% of (100+100)%..
So the overall % covered is $$\frac{100+25}{100+100}*100=\frac{125}{200}*100=62.5%$$
C
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Joined: 22 May 2016
Posts: 1350
A salesperson travels weekly to a client's office and returns... [#permalink]

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21 Jun 2017, 19:45
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KUDOS
Tking1167 wrote:
A salesperson travels weekly to a client's office and returns by the same route. If the salesperson travels to the client's office and then completes 25% of the return trip, what percent of the round-trip has been completed?

A 12.5%
B 25%
C 62.5%
D 75%
E 81%

Assume distance to and from client is 20 miles each way. (You can choose any number you want because distances are equal. I chose 20 because it's divisible by four.)

The salesperson travels 20 miles to get there. She travels only 25% of the way back; $$\frac{1}{4}$$ of 20 miles is 5 miles.

So she's traveled 25 miles of a round trip of 40 miles.

$$\frac{25}{40}$$ = .625 * 100 = 62.5%

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Formerly genxer123

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Joined: 21 Aug 2013
Posts: 805
Location: India
Re: A salesperson travels weekly to a client's office and returns... [#permalink]

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21 Jun 2017, 19:51
let onwards journey be '4' miles, so return journey is also '4' miles. Total journey = 8 miles

This particular journey, total trip = 4 + 25% of 4 = 4 + 1 = 5 miles

So, required percentage = 5/8 * 100 = 62.5 %

Senior Manager
Joined: 28 May 2017
Posts: 296
Concentration: Finance, General Management
Re: A salesperson travels weekly to a client's office and returns... [#permalink]

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21 Jun 2017, 21:10
Tking1167 wrote:
A salesperson travels weekly to a client's office and returns by the same route. If the salesperson travels to the client's office and then completes 25% of the return trip, what percent of the round-trip has been completed?

A 12.5%
B 25%
C 62.5%
D 75%
E 81%

Let's assume distance to the client's office is = 4x
so, Total distance traveled in a round trip = 8x
Sales covered 25% distance of return trip = 25% of 4x = 1x
Distance covered by Salesman = 4x + 1x = 5x
% distance travelled = 5x/8x = 62.5%
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Director
Joined: 04 Dec 2015
Posts: 696
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
A salesperson travels weekly to a client's office and returns... [#permalink]

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03 Aug 2017, 20:56
Tking1167 wrote:
A salesperson travels weekly to a client's office and returns by the same route. If the salesperson travels to the client's office and then completes 25% of the return trip, what percent of the round-trip has been completed?

A 12.5%
B 25%
C 62.5%
D 75%
E 81%

Let the distance of one way trip to client's office be $$= 100$$ km

Therefore total distance of round trip $$= 100 + 100 = 200$$ km

Salesperson completes the one way trip, ie; $$= 100$$ km

Then Salesperson completes $$25$$% of return trip, ie; $$= 25$$% of $$100 = \frac{25}{100} * 100 = 25$$ km

Required percentage $$=$$ ( Total distance completed $$/$$ Total distance )$$* 100$$

Required percentage $$= \frac{100 + 25}{200} * 100 = \frac{125}{200} * 100 = 62.5$$%

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A salesperson travels weekly to a client's office and returns...   [#permalink] 03 Aug 2017, 20:56
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