In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 12% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?

Question

Snowball

Business

18 January, 13:10

In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 12% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?

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Answers (1)

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Felipe Koch · Answer 1

Answer: 25%

Explanation:

22% only represents a portion of the amount of customers who are caught sampling candy. Of this amount of customers who are caught, 12% are never caught, which means that 12% of the total 100% of customers who are caught, are never caught. The 22% excludes this 12%, indicating that this 22% is a net amount after the 12% has been accounted for.

Therefore: 100 - 12 = 88%

This means that this 22% only represents 88% of the total amount of customers whom are caught sampling candy. This 22% must thus be converted to a gross figure (out of 100%) to get the actual value of all customers who sample the candy:

22/88 = 0.25

0.25 x 100 = 25%