Hi All,
The presentation in this question is relatively rare on Test Day - the logic most often appears in Overlapping Sets questions (but the wording is a bit more straight-forward). The idea here is essentially about "groups within groups"...
From the prompt we know that there are 3 different types of people....
Those who do NOT sample candy
Those who SAMPLE AND are CAUGHT
Those who SAMPLE but are NOT CAUGHT
The percents that we're given refer to the latter 2 groups....we can TEST VALUES to clarify the logic:
22% of customers are caught sampling candy - this refers to 22% of ALL CUSTOMERS....
IF Total customers = 100
22%(100) = 22 customers SAMPLE AND are CAUGHT.
Next, we're told that 12% of those WHO SAMPLE are NOT CAUGHT. This is NOT 12% of everyone; it's 12% of those who SAMPLE.
TOTAL WHO SAMPLE = X = (those CAUGHT) + (those NOT CAUGHT)
X = 22 + .12(X)
From here, we can combine like terms and solve for X....
.88X = 22
X = 22/.88 = 1/.04 = 25
Thus, 25 out of the original 100 SAMPLE candy. Since that is what the question is focused on, 25% is the answer.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com The Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★