A lending library has a fixed charge for the first three days and additional charge for each day thereafter.
Question:
A lending library has a fixed charge for the first three days and 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.
Solution:
To find:
(1) the fixed charge
(2) The charge for each day
Let the fixed charge be Rs x
And the extra charge per day be Rs y.
According to the given conditions,
$x+4 y=27$
$x+4 y-27=0$....(1)
$x+2 y=21$
$x+2 y-21=0$....(2)
Subtracting equation 1 and 2 we get
$2 y=6$
$y=3$
Substituting the value of y in equation 1 we get
$x+4(3)-27=0$
$x+12-27=0$
$x-15=0$
$x=15$
Hence the fixed charge is $x=$ Rs 15 and the charge of each day $y=$ Rs 3