Q. 114.1( 28 Votes )

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.

Answer :

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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