MGMAT problem Company Z

[HPengineer]

Company z only sells chairs and tables. What percent of its revenue in 2008 did company z derive from its sales of tables?

S1.) In 2008, the average price of tables sold by Company Z was 10% higher than the average price of chairs sold by company z.

S2.) In 2008, Company z sold 20% fewer tables then chairs..


Mgmat says to pick a smart number... which i understand... however im trying to solve by algebra only cant seem to complete it..

Can anyone elaborate on how to solve this using algebra only?

[captcha]

Company z only sells chairs and tables. What percent of its revenue in 2008 did company z derive from its sales of tables?

S1.) In 2008, the average price of tables sold by Company Z was 10% higher than the average price of chairs sold by company z.

S2.) In 2008, Company z sold 20% fewer tables then chairs..


We will need both statements S1 & S2 to solve

Let SP of chair = x
then SP of table = 1.1 x

Chairs sold = y
therefore, tables sold = 0.8 y;

Now,
Revenue = xy + 1.1x*0.8y

Revenue from tables = 1.1x * 0.8 y

% of revenue from tables = 1.1*0.8 xy/(xy + 1.1 *0.8 xy) *100

=0.88xy/(1+.88)xy *100
=0.88/1.88 *100
=46.8%

IMO C

[HPengineer]

thanks friend i was on the correct path just lost my way! thanks for sharing!

Cheers

M