In a certain toy store, 20% of the international branded

Hi swerve,

We're told that in a certain toy store, 20% of the INTERNATIONAL branded toys are the ONLY premium category toys and that premium toys make up 10% of the TOTAL number of toys in the store. We're asked to find the percentage of toys in the store that are international brands. This question can be solved by TESTing VALUES.

IF...
TOTAL number of toys = 100, then...
premium toys = 10% of 100 = 10, and
20% of the international toys are the ONLY premium toys...
so 20% of X = 10
(1/5)(X) = 10
X = 50

Number of International toys = 50
Total number of toys = 100
50/100 = 50%

Final Answer: D

GMAT assassins aren't born, they're made,
Rich

swerve wrote:In a certain toy store, 20% of the international branded toys are the only premium category toys. If premium toys make up 10% of the total number of toys in the store, what percent of toys in the store are of international brands?

A. 10%
B. 20%
C. 40%
D. 50%
E. 60%

The OA is D

Source: e-GMAT

For Premium category toys:

20% of the international branded toys = 10% of the total number of toys

=> International branded toys / Total number of toys = 10%/20% = 1/2

=> International branded toys are 50% of the total number of toys.

The correct answer: D

Hope this helps!

-Jay
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swerve wrote:In a certain toy store, 20% of the international branded toys are the only premium category toys. If premium toys make up 10% of the total number of toys in the store, what percent of toys in the store are of international brands?

A. 10%
B. 20%
C. 40%
D. 50%
E. 60%

The OA is D

Source: e-GMAT

We can let 100 be the total number of toys in the store. Therefore, the number of premium toys is 0.1 x 100 = 10. Since this is also 20% of the international branded toys, 10/0.2 = 50 are international branded toys. Therefore, 50/100 = 1/2 = 50% of the toys in the store are of international brands.

Answer: D