A lending library has a fixed charge for the first three days and… - Vidyadip

Question

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

✓

Answer

Let the fixed charge be ₹ x and the extra charge per day be ₹ y.
Given that,
Mona paid ₹ 27 for a book kept for 7 days,
⇒ x + 4y = 27 ...(i)
Given that,
Tanvy paid ₹ 21 for a book kept for 5 days,
⇒ x + 2y = 21 ...(ii)
Subtracting (ii) from (i), we get
⇒ 2y = 6
⇒ y = 3
Substituting y = 3 in (ii), we get
⇒ x = 15.
Hence, the fixed charge is ₹ 15 and the charge per day is ₹ 3.

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