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. (A) Rs 13, Rs 2 (B) Rs 10, Rs 3 (C) Rs 12, Rs 9 (D) Rs 14, Rs 5

Let the fixed charge by Rs x and additional charge by Rs y per day

Number of days for Latika = 6 = 2 + 4

Hence,

Charge x + 4y = 22

x = 22 – 4y ………(1)

Number of days for Anand = 4 = 2 + 2

Hence,

Charge x + 2y = 16

x = 16 – 2y ……. (2)

On comparing equation (1) and (2), we get,

22 – 4y = 16 – 2y

2y = 6

We get,

y = 3

Substituting y = 3 in equation (1), we get,

x = 22 – 4 (3)

x = 22 – 12

x = 10

Therefore, fixed charge = Rs 10 and additional charge = Rs 3 per day

So, the correct option is (B) 

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