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.
Let the fixed charge for 3 days be x
Let the charge per extra day be y
Hence, Saritha has 4 extra days and Susy has 2 extra days.
So x + 4 y = 27
And x + 2 y = 21
Solving
y = 3 and
x = 15