The expenses of a hostel consist of two parts, one part varies with the number of inmates while the cither is always constant. When the number of inmates is 200 is 250, the expenses are respectively Rs. 1300 and 1600. Then the expenses for 300 inmates are
1). 1800
2). 1900
3). 2400
4). 2100
Let a and b are constants.
Given,
⇒ 1300 = 200A + B
⇒ 1600 = 250A + B
Solving equations,
⇒ 50A = 300
⇒ A = 6
Then,
⇒ B = 1300 - 1200 = 100
For 300 inmates,
Expenses = 300 × 6 + 100 = 1900
∴ Expenses for 300 inmates is Rs. 1900