Ogel Limited sells toys and books only. Its revenues from toys sales in 2015 were up 12% from 2014 and revenues from...

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by AAPL » Sat Apr 17, 2021 4:50 pm

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Ogel Limited sells toys and books only. Its revenues from toys sales in 2015 were up 12% from 2014 and revenues from books sales in 2015 were down by 17% from 2014. If the total revenues from toys sales and books sales in 2015 were down by 2% from 2014, what is the ratio of revenue from toys sales in 2014 to revenue from books sales in 2014?

A. 2: 17
B. 12: 17
C. 9: 11
D. 13: 14
E. 15: 14

OA E

Source: Beat The GMAT — Problem Solving | Sat Apr 17, 2021 4:50 pm

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Re: Ogel Limited sells toys and books only. Its revenues from toys sales in 2015 were up 12% from 2014 and revenues from

by Scott@TargetTestPrep » Thu Jul 15, 2021 9:08 am

AAPL wrote: ↑
Sat Apr 17, 2021 4:50 pm
E-GMAT

Ogel Limited sells toys and books only. Its revenues from toys sales in 2015 were up 12% from 2014 and revenues from books sales in 2015 were down by 17% from 2014. If the total revenues from toys sales and books sales in 2015 were down by 2% from 2014, what is the ratio of revenue from toys sales in 2014 to revenue from books sales in 2014?

A. 2: 17
B. 12: 17
C. 9: 11
D. 13: 14
E. 15: 14

OA E

Solution:

We can let t and b be the revenue from toys and books, respectively, in 2014, and create the equation (notice that we need to determine the value of t/b):

1.12t + 0.83b = 0.98(t + b)

1.12t + 0.83b = 0.98t + 0.98b

0.14t = 0.15b

t/b = 0.15/0.14 = 15/14

Answer: E

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