A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days and an additional charge for each day thereafter. Latika
paid ₹ 22 for a book kept for six days, while Anand paid ₹ 16 for the book kept for four days. Find the fixed charges and the charge for each extra day.
Let Latika takes a fixed charge for the first two day is ₹ x and additional charge for each day thereafter is ₹ y.
Now by first condition.
Latika paid ₹ 22 for a book kept for six days i.e.,
x + 4 y = 22 …(i)
and by second condition,
Anand paid ₹ 16 for a book kept for four days i.e.,
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 x 3 =16
x = 16-6 = 10
Hence, the fixed charge = ₹ 10
and the charge for each extra day = ₹ 3