Question

(v) A lending library has a fixed charge for the first three days and an additional charge
for each day thereafter. Saritha paid27 for a book kept for seven days, while Susy
paid 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 1

the fixed charge for first three days and each day charge thereafter be Rs x and Rs yrespectively.

According to the question,

x + 4y = 27 ... (i)

x + 2y = 21 ... (ii)

Subtracting equation (ii) from equation (i), we get

2y = 6

y = 3 ... (iii)

Putting in equation (i), we get

x + 12 =27

x = 15

Hence, fixed charge = Rs 15 and Charge per day = Rs 3.