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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Answer:
Let the fixed charge be Rs. x
and the extra charge be Rs. y
x+4y=27⟶(i)
x+2y=21⟶(ii)
On substracting (i) and (ii),
2y=6
y=3
putting y in (i),
x+4(3)=27
x=15
∴x=Rs.15 and y=Rs. 3
∴ Fixed charge =Rs. 15
∴ Charge for each extra day =Rs. 3 .
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