Let Latika takes a fixed charge for the first two day is Rs x and additional charge for each day thereafter is Rs y.
Now by first condition.
Latika paid Rs 22 for a book kept for six days i.e., for first two days as Rs x and remaining Rs 4y.
x + 4y = 22 …(i)
and by second condition,
Anand paid Rs 16 for a book kept for four days i.e., for first two days as x’ and remaining Rs 2y.
x + 2y = 16 …(ii)
Now, subtracting Eq. (ii) from Eq. (i), we get
2y = 6
y = 3
On putting the value of y in Eq. (ii), we get
x + 2(3) = 16
x = 10
Hence, the fixed charge = Rs 10
and the charge for each extra day Rs 3.