**Question:**

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.

**Solution:**

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