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# Company Z only sells chairs and tables. what percent of its

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Joined: 25 Sep 2010
Posts: 18
Company Z only sells chairs and tables. what percent of its [#permalink]

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29 Oct 2010, 03:23
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Company Z only sells chairs and tables. what percent of its revenue in 2008 did company derive from its sales of tables?

(1) In 2008, the average price of tables sold by company Z was 10% higher than the average price of chairs sold by Company Z?
(2) In 2008, Company Z sold 20% fewer tables than chairs.
[Reveal] Spoiler: OA

Last edited by Bunuel on 04 Jan 2013, 05:36, edited 1 time in total.
Edited the question.
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Joined: 02 Sep 2009
Posts: 43828
Re: DS question : need help [#permalink]

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29 Oct 2010, 03:35
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satishreddy wrote:
Company Z only sells chairs and tables. what percent of its revenue in 2008 did company derive from its sales of tables?
1. In 2008, the average price of tables sold by company Z was 10% higher than the average price of chairs sold by Company Z?
2. In 2008, Company Z sold 20% fewer tables than chairs.

Revenue=number of items sold * price of an item.

$$\frac{n_t*p_t}{n_t*p_t+n_c*p_c}=?$$

(1) $$p_t=1.1*p_c$$. Not sufficient.
(2) $$n_t=0.8*n_c$$. Not sufficient.

(1)+(2) $$\frac{n_t*p_t}{n_t*p_t+n_c*p_c}=\frac{0.8*n_c*1.1*p_c}{0.8*n_c*1.1*p_c+n_c*p_c}=\frac{0.8*1.1}{0.8*1.1*+1}$$. Sufficient.

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Joined: 11 Oct 2013
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Location: United Kingdom
GMAT 1: 490 Q32 V25
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Re: DS question : need help [#permalink]

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26 Dec 2013, 13:45
Bunuel wrote:
satishreddy wrote:
Company Z only sells chairs and tables. what percent of its revenue in 2008 did company derive from its sales of tables?
1. In 2008, the average price of tables sold by company Z was 10% higher than the average price of chairs sold by Company Z?
2. In 2008, Company Z sold 20% fewer tables than chairs.

Revenue=number of items sold * price of an item.

$$\frac{n_t*p_t}{n_t*p_t+n_c*p_c}=?$$

(1) $$p_t=1.1*p_c$$. Not sufficient.
(2) $$n_t=0.8*n_c$$. Not sufficient.

(1)+(2) $$\frac{n_t*p_t}{n_t*p_t+n_c*p_c}=\frac{0.8*n_c*1.1*p_c}{0.8*n_c*1.1*p_c+n_c*p_c}=\frac{0.8*1.1}{0.8*1.1*+1}$$. Sufficient.

dear Bunuel,
thanks for the explanation but I have a question:

$$\frac{n_t*p_t}{n_t*p_t+n_c*p_c}=?$$
is this part not going to be equal to 1?

many thanks
_________________

Good things come to those who wait… greater things come to those who get off their ass and do anything to make it happen...

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Joined: 02 Sep 2009
Posts: 43828
Re: DS question : need help [#permalink]

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27 Dec 2013, 02:39
3111987 wrote:
Bunuel wrote:
satishreddy wrote:
Company Z only sells chairs and tables. what percent of its revenue in 2008 did company derive from its sales of tables?
1. In 2008, the average price of tables sold by company Z was 10% higher than the average price of chairs sold by Company Z?
2. In 2008, Company Z sold 20% fewer tables than chairs.

Revenue=number of items sold * price of an item.

$$\frac{n_t*p_t}{n_t*p_t+n_c*p_c}=?$$

(1) $$p_t=1.1*p_c$$. Not sufficient.
(2) $$n_t=0.8*n_c$$. Not sufficient.

(1)+(2) $$\frac{n_t*p_t}{n_t*p_t+n_c*p_c}=\frac{0.8*n_c*1.1*p_c}{0.8*n_c*1.1*p_c+n_c*p_c}=\frac{0.8*1.1}{0.8*1.1*+1}$$. Sufficient.

dear Bunuel,
thanks for the explanation but I have a question:

$$\frac{n_t*p_t}{n_t*p_t+n_c*p_c}=?$$
is this part not going to be equal to 1?

many thanks

No. $$\frac{n_t*p_t}{n_t*p_t+n_c*p_c}=\frac{x}{x+y}$$. This expression is not necessarily equal to 1.
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Joined: 24 Nov 2016
Posts: 32
Re: Company Z only sells chairs and tables. what percent of its [#permalink]

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10 Oct 2017, 17:05
Hey guys,

i know this topic is frm 5 years ago, but i got stuck on MGMAT explanation.

Ok, I found how Rc and Rt are related, but I cant figure how it is conclusive to find how Rc is related for total revenue.

Since

Revenue = Rt + Rc

Rt = Qt x Pt

Rc = Qc x PC

And we found that Rt = 0.88 Rc

If I replace Rt in revenue equation my result will be

Revenue = 0.88 Rc + Rc

What could I conclude with this final equation??
Re: Company Z only sells chairs and tables. what percent of its   [#permalink] 10 Oct 2017, 17:05
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