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

[BTGmoderatorLU]

Source: e-GMAT

Ogel Limited sells toys and books only. It’s 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

The OA is E

[Jay@ManhattanReview]

Source: e-GMAT

Ogel Limited sells toys and books only. It’s 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

The OA is E

Given --------- 2015 --- 2014
Toys sales ----- 112 --- 100 (assumed)
Books sales --- 0.83x -- x (we cannot assume 100 since in that case we would unduly assume that books sales = toys sales)

Total sales in 2015 = $(112 + 0.83x)
Total sales in 2014 = $(100 + x)

=> 98% of (100 + x) = (112 + 0.83x)

98 + 0.98x = 112 + 0.83x

x = 14/0.15 = 1400/15

We have to get the value of 100/x, which is 100/(1400/15) = 15 : 14

Correct answer: E

Hope this helps!

-Jay
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[Scott@TargetTestPrep]

Source: e-GMAT

Ogel Limited sells toys and books only. It’s 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

The OA is E

Solution:

We can use the following fact:

If the overall percent change the two groups, group A and group B, combined is m, group A has a percent change of a (where a < m) and group B has a percent change of b (where b > m), then the ratio of group B to group A is (m - a)/(b - m).

Using the fact above (by letting the revenue of toys to be group B and the revenue of books to be group A), we have (notice that here, m = -2, b = 12, a = -17):

revenue of toys/revenue of toys = (-2 - (-17))/(12 - (-2)) = 15/14.

Answer: E