Answer:
The lodging cost of the room is $ 41.28
Step-by-step explanation:
Given as :
The rate of room including taxes = $ 45
The state tax = 6 %
The city tax = 2 %
The municipal tax = 1 %
So, The total tax = 6 % + 2 % + 1 % = 9 %
Let The lodging cost = $ x
So, According to question
x + 9 % of x = $ 45
Or, x + 0.09 × x = 45
Or, 1.09 × x = 45
∴ x = = $ 41.28
Hence The lodging cost of the room is $ 41.28 Answer