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- Pair of Linear Equations in Two Variables - Exercise 3.1
- Pair of Linear Equations in Two Variables - Exercise 3.2
- Pair of Linear Equations in Two Variables - Exercise 3.3
- Pair of Linear Equations in Two Variables - Exercise 3.4
- Pair of Linear Equations in Two Variables - Exercise 3.5
- Pair of Linear Equations in Two Variables - Exercise 3.6
- Pair of Linear Equations in Two Variables - Exercise 3.7

**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:

Let the fixed charge for the first three days be Rs.A and the charge for each day extra be Rs.B.

According to the information given,

A + 4B = 27 …………………………………….…………………………. (i)

A + 2B = 21 ……………………………………………………………….. (ii)

When equation (ii) is subtracted from equation (i) we get,

2B = 6

B = 3 …………………………………………………………………………(iii)

Substituting B = 3 in equation (i) we get,

A + 12 = 27

A = 15

**Hence, the fixed charge is Rs.15**

**And the Charge per day is Rs.3**

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