Question

Read the Question given below and choose the option that is sufficient to answer the Question.
What is the monthly rent for a certain apartment ?
(1) The monthly rent per person for 4 people to share the rent for the apartment is \$375.
(2) The monthly rent per person for 4 people to share the rent of the apartment is \$125 less than the monthly rent per person for 3 people to share the rent.

• A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
• C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
• D. EACH statement ALONE is sufficient
• E. Statements (1) and (2) TOGETHER are NOT sufficient

Hint:

In Data Sufficiency, do not over-calculate. Once you set up a linear equation with exactly one variable from a statement, you know it is sufficient. Stop calculating and mark it!

Answer 1

The Correct Option is D

Step 1: Evaluate Statement 1.
If 4 people pay $375 each, Total Rent = $4 × 375 = $1500$. Statement 1 alone provides the exact answer.

Step 2: Evaluate Statement 2.
Let the total rent be $R$. Rent per person for 4 people is $\frac{R}{4}$. Rent per person for 3 people is $\frac{R}{3}$.
The equation is: $\frac{R}{4} = \frac{R}{3} - 125$.
Solving: $125 = \frac{R}{3} - \frac{R}{4} \Rightarrow 125 = \frac{R}{12} \Rightarrow R = 1500$. Statement 2 alone provides the exact answer.