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Spotted Dogs

GMAT-DM1EVG

$20\%$ of all large dogs at a particular pound have spots while $45\%$ of small dogs have spots.

If $30\%$ of all dogs have spots, what percentage of the dogs at the pound are small?

Assume dogs come in only two sizes.

A

$20\%$

B

$25\%$

C

$30\%$

D

$35\%$

E

$40\%$