gibran wrote:The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price?
(1) The markup on the television set is 25 percent of the cost.
(2) The selling price of the television set is $250.

We can let c = cost of the article and m = the markup and create the expression:

m/(c + m) x 100 = ?

Statement One Alone:

The markup on the television set is 25 percent of the cost.

From statement one, we have m = 0.25c, and thus our expression now is:

m/(c + m) x 100 = ?

0.25c/(c + 0.25c) x 100 = ?

0.25c/(1.25c) x 100 = ?

0.25/1.25 x 100 = 20%

Statement one alone is sufficient to answer the question.

Statement Two Alone:

The selling price of the television set is $250.

With the information in statement two we can create the following equation:

c + m = 250

With the equation c + m = 250, we can simplify m/(c + m) x 100 as m/250 x 100. However, since we don't know the value of m, we can't determine the value of m/(c + m) x 100. Thus, statement two alone is not sufficient to answer the question.

Answer: A