2)The monthly expenses at a hotel are partly constant and partly vary directly on
the number of inmates. The expenses are Rs. 2000 when number of inmates is
120 and Rs. 1700 when the number of inmates is 100. Then the number of
inmates when expense is Rs. 1880 is:
A 126
B. 114
C.108
D. 112
Answers
Answer:
112
Step-by-step explanation:
Group of answer choices for you to make sure you are not the only one who is not a function of network layer of the following is
Answer:
The number of inmates when expense is Rs.1880 is equal to 112.
Therefore, the option (D) is correct.
Step-by-step explanation:
We have given the expenses for 120 inmates = Rs.2000
The expenses for 100 inmates = Rs.1700
Consider that N is the number of inmates when expense is Rs.1880.
Total expense = Constant variable + variable expense
Total expense= Constant variable + (No. of boarder× expense per boarder)
So, total expense = x + Ny
From the question,
x + 120y = 2000 ..............(1)
x + 100y = 1700 .............(2)
x + Ny = 1880 ..............(3)
Subtract the equation (2) from eq.(1):
(x + 120y) - (x + 100y) = 2000 - 1700
x + 120y - x - 100y = 300
20y = 300
y = 15
Substitute the value of 'y' in equation (1):
x + (120)(15) = 2000
x = 2000- 1800
x = 200
Substitute the value of x and y in equation (3);
200 + N (15) = 1880
15N = 1880 - 200
15N = 1680
N = 112
Therefore, the number of inmates when expense Rs. 1880 is 112.