A real estate broker booked 1200 apartments for sale. All of them were...
Step 1: Question statement and Inferences
We are given that a broker booked 1200 apartments for sale. There are only two types of apartments in these 1200: either 2-bedroom apartments or 3-bedroom apartments.
Let’s say:
The number of 2-bedroom apartments = x
And the number of 3-bedroom apartments = y
Thus,
x + y = 1200 ………….. (1)
Next the question says, 20% of the 2-bedroom apartments have terrace gardens, and 80% of the 3-bedroom apartments have terrace gardens. So,
The number of 2-bedroom apartments with terrace gardens = 20% of x = 0.2x
And the number of 3-bedroom apartments with terrace gardens = 80% of y = 0.8y
It is also given that there are 600 apartments with terrace gardens. So,
0.2x + 0.8y = 600
2x + 8y = 6000 ……………… (2)
We have to find the number of 3-bedroom apartments booked i.e. the value of y.
Step 2: Finding required values
Now, we have two equations and two variables. So, let’s solve them to get the value of y.
x + y = 1200 ……………… (1)
2x + 8y = 6000 ……………… (2)
Multiplying equation (1) by 2, and then subtracting it from equation (2), we get:
6y = 3600
Thus,y = 600
Step 3: Calculating the final answer
So, the number of 3-bedroom apartments = 600
Answer: Option (B)