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**Choose the most appropriate option:**

A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days, she has to pay Rs. 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs. 1180 as hostel charges. Find the fixed charges and the cost of food per day.

#### Options

200, 20

400, 40

300, 30

400, 30

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#### Solution

**400, 30**

**Explanation:**

Let the fixed charge be Rs.x and the cost of food per day be Rs. y.

x + 20 y = 1000 .........(i)

x + 26 y = 1180 .........(ii)

Solving equation, we get x = 400, y = 30.

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