Question

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Ram paid ₹27 for a book kept for seven days, while Renu paid ₹21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

Answer 1

Answer:

Step-by-step explanation:

Let fixed charge be Rs x

And additional charge be Rs y

So, ATQ,

3x+4y=Rs 27.......eq.1

3x+2y=Rs 21.......eq2

On subtracting eq 2 from eq 1

3x+4y=27

3x+2y=21

-    -     -

.....+2y=6

.....+  y=3

y=3

Putting y=3 in eq 1

3x+4(3)=27

3x+12=27

3x=27-12

x=15/3

x=5

So, fixed charge is Rs 5

And additional charge is Rs 3