Math, asked by ashut0345, 5 months ago

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

Answered by tarunkumar2515
1

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

Answered by KaurSukhvir
0

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.

Similar questions