The daily rate for a hotel room that sleeps 4 people is Tk. 390 for one person and X taka for each additional person. If 3 people take the room for one day and each pays Tk 210 for the room, then what is the value of X?
Solution
Correct Answer: Option B
The daily rate for 1 person is Tk. 390
For each additional person daily rate X taka
The total cost for 3 people is = 390 + 2X
If 3 people take the room for one day and each pays Tk 210 for the room
Total cost = 210 × 3 = Tk. 630
According to the question
390 + 2X = 630
⇒ 2X = 630 - 390
⇒ 2X =240
∴ X = 120
For each additional person daily rate X taka
The total cost for 3 people is = 390 + 2X
If 3 people take the room for one day and each pays Tk 210 for the room
Total cost = 210 × 3 = Tk. 630
According to the question
390 + 2X = 630
⇒ 2X = 630 - 390
⇒ 2X =240
∴ X = 120
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