A lending library has fixed charge for the first three days and an add

1.	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
Answer» 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.

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

Answer»

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.