Question

A lending library has a fixed charge for first three days and an additional charge for each day thereafter. Rittik paid 27 for a book kept for 7 days and Manmohan paid ₹ 21 for a book kept for 5 days. Find the fixed charges and the charge for each extra day.

Answer 1

Let the fixed charge be x and charge for each extra day be y

So, we have

`\implies` x + 7y = 27

`\implies` x + 5y = 21

On solving these pair of linear equations

`\implies` 2y = 6

`\implies` y = 3

And x = 6

So, the fixed charge is ₹ 6 and charge for each extra day is ₹ 3.