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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