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 Rs 22 for a book kept for six days, while Anand paid Rs 16 for the book kept for four days. Find the fixed charges and the charge for each extra day.

Answer 1

Let 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 + 4y = 22  ......(i)

And by second condition,

Anand paid ₹ 16 for a book kept for four days

i.e., x + 2y = 16  ......(ii)

Now, subtracting equation (ii) from equation (i), we get

2y = 6

⇒ y = 3

On putting the value of y in equation (ii), we get

x + 2 × 3 = 16

⇒ x = 16 – 6 = 10

Hence, the fixed charge = ₹ 10

And the charge for each extra day = ₹ 3