# A lending library has a fixed charge for the first three days and an 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.

Let the fixed charge and the charge for each extra day be ‘a’and ‘b’ respectively.

Given, a lending library has a fixed charge for the first three days and an additional charge for each day thereafter

Saritha paid Rs 27 for a book kept for seven days
⇒ a + 4b = 27 -------- (1)

Susy paid Rs 21 for the book she kept for five days
⇒ a + 2b = 21 --------- (2)

Subtracting eq2 from eq1

2b = 6

b = 3

Putting this value in eq(1), we get
⇒ a + 4(3) = 27
⇒ a = 27 - 12
⇒ a = 15

Therefore, fixed charge, a = 15 Rupees and charge thereafter, b =  3 Rupees per day

a = Rs. 15

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