(V)Alending library has a fixedcharge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

(V)Alending library has a fixedcharge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

Let fixed change =Rs x

And charge for extra day  = Rs  y

 Saritha paid Rs 27 for a book kept for seven days

So first three days she paid  Rs x   and for remaining 4 days she will pay 4y

So total paying

X + 4 y = 27               …….. (1)

Similarly

For while Susy paid Rs 21 for the book she kept for five days

X + 2y  = 21               ……..(2)

X + 4 y = 27               …….. (1)

Subtracting equation (1) from equation (2), we get

-2 y  = - 6

Y = 3

Plug this value in equation (1) we get

X + 4 y = 27               …….. (1)

X + 4 (3)  = 27

X = 27 – 12

X = 15

Hence fixed cost is Rs 15

And cost for extra each day is Rs 3