Question

a part of monthly hostel is fixed and the remaining depends on the number of days one has taken food in the mess When Swati take food for 20 days she has to pay 13000 as hostel charges where as mansi who takes food for 25 days pay 3500 has hostel charges find the fixed charges and the cost of food per day

Answer 1

Let the fixed charge be x and cost of food per day be y
A. To. Q
20days =1300
x+20y=13000----------------(1)
25days=3500
x+25y=3500-----------------(1)
Eq(1)-eq(2)
-5y=-2200
y=440
Put y in eq(1)
So x+880=1300
x=420

Answer 2

Answer:

The Fixed Charge is 1000 Rupees and the Cost Of Food Per Day is 100 Rupees.

Step-by-step explanation:

Assuming:

Let the fixed charge be x Rupees.

Let the Cost Of Food per day be y Rupees.

Amount paid by Swati = Rupees 3000

According to 1 st Condition:

x + 20y = 3000 ------------------- Equation 1

Charge paid by Mansi = Rupees 3500

According to 2 nd Condition:

x + 25y = 3500 ------------------------ Equation 2

Subtracting Equation 1 from Equation 2:

x + 20y = 3000

x + 25y = 3500

- 5y = - 500

y = - 500 / -5 = 100

Substituting Value Of y In equation 1:

x + 20 (100) = 3000

x + 2000 = 3000

x = 3000 - 2000 = 1000

Therefore, by this we understand that the fixed charge is 1000 Rupees and the cost of food per day is 100 rupees.