A leading library has a fixed charge for the first three days and a additional charge for each day after. Sarita pay 27 rupees for a book kept for 7 days while shashi pay 21 rupees for the books she kept 5 days. Find the fixed charge and a charge for each day?
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Charges for 7 days = 3 day-fixed charge + 4 * daily-additional-charge
Charges for 5 days = 3 day-fixed charge + 2 * daily-additional-charge
Subtract the 2nd one from first, we get,
Rs 27 - Rs 21 = 6 = (4 -2 ) daily charge
So daily additional charges are 6/2 = Rs 3 per day
So the 3 day fixed charge = 27 - 4 * daily charge = 27 - 12 = Rs 15
Charges for 5 days = 3 day-fixed charge + 2 * daily-additional-charge
Subtract the 2nd one from first, we get,
Rs 27 - Rs 21 = 6 = (4 -2 ) daily charge
So daily additional charges are 6/2 = Rs 3 per day
So the 3 day fixed charge = 27 - 4 * daily charge = 27 - 12 = Rs 15
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