Question

A lending library has a fixed charge 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.

Answer 1

Let the fixed charge for first three days and each day charge thereafter be Rs x and Rs yrespectively.
According to the question,
x + 4y = 27 ... (i)
x + 2y = 21 ... (ii)
Subtracting equation (ii) from equation (i), we get
2y = 6
y = 3 ... (iii)
Putting in equation (i), we get
x + 12 =27
x = 15
Hence, fixed charge = Rs 15 and Charge per day = Rs 3.

Answer 2

Answer:

Step-by-step explanation:

Given :-

A lending library has a fixed charge 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.

Solution :-

Let the fixed charge for first three days and each day charge thereafter be Rs x and Rs y respectively.                  

According to the question,                  

⇒ x + 4y = 27 ... (i)                  

⇒ x + 2y = 21 ... (ii)                  

Subtracting equation (ii) from equation (i), we get                  

⇒ 2y = 6                  

⇒ y = 3 ... (iii)                  

Putting in equation (i), we get                  

⇒ x + 12 =27                  

⇒ x = 15                  

Fixed charge = Rs 15

Charge per day = Rs 3.

Hence, The Fixed charge is Rs 15 and Charge per day is Rs 3.