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Question

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter.Mona paid Rs.27 for a book kept for 7 days,while Tanvy paid Rs.21 for the book she kept for 5 days.Find the fixed charge and the charge for each extra day.

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Solution

Let the fix charge be x and the aditional charge of per day be y
according to question
mona's case
x+4y=27 ...........(1)

tanvy's case
x+2y=21..........(2)
Solving both equations

2y=27-21
2y=6
y=3 additional charge
putting value in eq 2
x=15 fixed charge for 3 days

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