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 4 days. Find the fixed charges and the charge for each extra day

Answer 1

Latika
2(FC)+4(AC)
2x+4y=22

Anand
3x+y=16

Answer 2

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

x+4y = 22 .......(1)

and by second condition ,

Anand paid ₹16 for a book kept for four days

x+2y = 16 ........(2)

Now , subtracting eq(1) from eq (2), we get

2y = 6

y = 3

On putting the value of y in eq (2), we get

x+2×3 = 16

x = 16-6

x = 10

Fixed charge = ₹10

The charge for each extra day = ₹3

HOPE IT HELPS U.....