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 7 days, while susy paid rs 21 for for the book she kept for 5 days. find the fixed charge and the charge for each extra day
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let, fixed charged=x
additional charges=y
then according to question ,
x+4y=27-(1)
x+2y=21-(2)
subtracting equation (1) and (2), we get,
x+4y=27
- x-2y=-21
2y=6
therefore,y = 3
putting value of y in equation (1),
x+(4)(3)=27
x=12
therefore, fixed charges =12 and additional charges for each day =3
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