A lending library has a fixed charge for the first three days and additional charge for each day thereafter. Saritha paid Rs. 27 for a book kept for seven days, while Susy paid Rs. 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

Consider the fixed charge = Rs x

Extra charge = Rs y

As per the question

x + 4y = 27 —– (1)

x + 2y = 21 ——(2)

We get,

2y = 6

y = 3

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

x + 4(3) = 27

x + 12 = 27

x = 27 – 12

x = 15

Therefore, fixed charge = Rs 15 and extra charge = Rs 3

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