How to solve this DS question?

Question

At a certain company, 30 percent of the employees live in City R. If 25 percent of the company’s employees live in apartments in City R, what is the number of the employees who live in apartments in City R ?
 1. Of the employees who live in City R, 6 do not live in apartments.
 2. Of the employees, 84 do not live in City R

S Raghav · Accepted Answer

Start by assigning a variable. Let T be the total number of employees. Statement 1 tells us that 6 employees in City R do not live in apartments. Since 30 percent of employees live in City R and 25 percent live in apartments in City R, the difference between the two is 0.05T. So, 0.05T equals 6, which means T equals 120. Once we know the total number of employees, we can find 25 percent of T to get the number who live in apartments in City R. This is sufficient.
Statement 2 tells us that 84 employees do not live in City R. That means 70 percent of the total number of employees is 84. Solving for T, we get T equals 120. With T known, we can again calculate 25 percent of T to find how many live in apartments in City R. This is also sufficient. Each statement alone gives us enough information to answer the question.The correct answer is D.

Divakshi Arora · Answer

Here&rsquo;s how to t solve this logically:

Let total employees be T
30% live in City R, and 25% live in apartments in City R
Statement 1: 6 people in City R don&rsquo;t live in apartments &rarr; 0.05T = 6 &rarr; T = 120
Statement 2: 84 people do not live in City R &rarr; 0.70T = 84 &rarr; T = 120
Once T is known, just calculate 25% of T to get the answer
Both statements independently lead to the same value of T

So each alone is sufficient.  Answer is D.