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A real estate broker booked 1200 apartments for sale. All of them were either 2-bedroom or 3-bedroom apartments.  Out of the 2-bedroom apartments, 20% had terrace gardens and out of the 3-bedroom apartments, 80% had terrace gardens. If there were 600 apartments with terrace gardens, how many 3-bedroom apartments were booked by the broker?
  • a)
    400
  • b)
    600
  • c)
    800
  • d)
    900
  • e)
    1000
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
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)
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