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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.

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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 for the first three days be Rs. A and the charge for each day extra be Rs. B.

According to the information given,

A + 4B = 27 ………………. (i)

A + 2B = 21 ……………….. (ii)

When equation (ii) is subtracted from equation (i) we get,

2B = 6

B = 3 ……………………(iii)

Substituting B = 3 in equation (i) we get,

A + 12 = 27

A = 15

Hence, the fixed charge is Rs. 15.

And the Charge per day is Rs. 3.

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