Question

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Geeta paid Rs. 27 for a book kept for seven days, while Mohit paid Rs. 21 for the book he kept for five days. Find the fixed charges and the charge for each extra day.

Answer 1

Let the fixed charges be Rs. x and the charge for each extra day be Rs. y.
According to the question,
x + 4y = 27                    ...(1)
and x + 2y = 21            ....(2)

Solving the equations, we get
2y = 6
∴ y = 3
and x = 21 - 2y = 21 - 2(3) = 15
Hence, the fixed charges is Rs. 15 and the charge for each extra day is Rs. 3.