Question

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

Answer 1

Let the fixed charge for first three days and each day charge thereafter be Rs x and Rs y respectively.
According to the question,

Subtracting equation (2) from equation (1), we obtain:

2y =6

y=3

Subtracting the value of y in equation (1), we obtain

x+12 =27

x=15

Hence, the fixed charge is Rs 15 and the charge per day is Rs 3.