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 3 days = Rs. x 

And additional charge after 3 days = Rs. y

ATQ 

x + 4 = 27----------(1) 

x + 2 = 21 ----------(2)

Subtract eqn (2) from (1) 

2y = 6 

y = 3

Substitute value of in (2) 

x + 2(3) = 21 

x = 21 − 6 

x = 15

Fixed charge = Rs. 15 

Additional charge per day = Rs. 3