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.
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let the fixed charge be x
number of days = y
then this equation forms
x+4y=27(three days are fixed so y is 4y and not 7y)-----(1)
x+2y=21----(2)
subract eq 1 and 2
x+4y=27
(-) x+2y=21
----------------------
2y = 6
y = 3
so additional charge is 3 rupees
x+12=27(substituting in eq 1)
x=15
FIXED CHARGE =15 RS
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