Question

monthly hostel charges in a college comprises of two parts 1 fix Parts for the stay in hostel and the varying part depending on the numbers of days one has taken food in the mess around take food for 20 days and rs 1700 as hostel charges and Rahim take food for 24 days and rs 1900 as hostel charges find the fixed charge and the cost of the food per day

Answer 1

let charge for staying be X
let charge for food be y
first,
X+20y=1700
then Rahim,
X +24y=1900
subtracting both equations,
we get y=50,
then putting the value in one equation ,
we get X=700

Answer 2

The fixed charge is Rs 700 and the cost of the food per day is Rs 50 .

• Let the fixed charge be x and let the charge of food per day be y .
• Then , according to the first statement,

       x + 20 y = 1700    .....(i)

       and ,

       x + 24 y = 1900    ......(ii)

• After solving (i) and (ii) , we get ,

       the value of x that is fixed cost = Rs 700

       and , the value of y that is cost of food per day = Rs 50