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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. 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. [4 MARKS]


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Solution

Concept : 1 Mark
Application : 1 Mark
Calculation : 2 Marks

Let the fixed charge for 3 days be x

And charge per extra day be y

Saritha kept books for seven days

Saritha has 4 extra days.

Susy kept books for five days

Susy has 2 extra days.

According to given condition,

x+4y=27(i)

x+2y=21(ii)

Solving (i) and (ii) ,

x=274y [From (i)]

Substituting value of x in (ii)

x+2y=21

274y+2y=21

272y=21y=3

Now, x=274y

x=274(3)x=15

y=3,x=15


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