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Question
A lending library has 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
Solution
Let the fixed charge be Rs.x and the charge for each extra day be Rs.y.
In case of Mona, as per the question
x + 4y = 27 ………(i)
In case of Tanvy, as per the question
x + 2y = 21 ………(ii)
Subtracting (ii) from (i), we get
2y = 6 ⇒ y = 3
Now, putting y = 3 in (ii), we have
x + 2 × 3 = 21
⇒ x = 21 – 6 = 15
Hence, the fixed charge be Rs.15 and the charge for each extra day is Rs.3.
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