GRE Math: Real Estate Commission and Selling Price - Data Sufficiency Problem

Let's start by setting up an equation using the given information. Let 'x' be the selling price of the house. Then, the real estate agent's commission is 0.06x. We want to find x.

Statement (1) tells us:

The selling price minus the real estate agent’s commission was $84,600.

This can be written as:

x - 0.06x = 84,600

Simplifying, we get:

0.94x = 84,600

x = 90,000

So, statement (1) alone is sufficient.

Statement (2) tells us:

The selling price was 250 percent of the original purchase price of $36,000.

This can be written as:

x = 2.5(36,000)

Simplifying, we get:

x = 90,000

So, statement (2) alone is also sufficient.

Since both statements lead to the same answer, we can conclude that both statements together are sufficient. The answer is (C).