Question

Question 20
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 latika takes a fixed charge for the first two days is Rs. x and additional charge for each day thereafter are Rs. y.
Now, by the first condition
Latika paid Rs. 22 for a book kept for six days i.e.,
x + 4 y = 22
now, subtracting Eq. (ii) from Eq. (i) we get
2y = 6 $\Rightarrow$ y = 3
On putting the value of y in Eq. (ii), we get
x + 2 × 3 = 16
x = 16 – 6 = 10
hence, the fixed charge = Rs. 10
and the charge for each extra day = Rs. 3