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

Updated on May 31, 2025 | By Learnzy Admin | 👁️ Views: 421 students

Not the question you're searching for? + Ask your question

Solution

✔ Verified

Let fixed charge for the first 3 days = Rs. x
And extra charge for each additional day = Rs. y

From the Question:
Saritha kept the book for 7 days, so she paid:
Fixed charge for first 3 days = x
Extra charge for remaining 4 days = 4y
So: x + 4y = 27 ----------------------------------------- (1)

She kept the book for 5 days, so she paid:
Fixed charge for first 3 days = x
Extra charge for remaining 2 days = 2y
So: x + 2y = 21 --------------------------------------------(2)

Now solve the equations:
From Equation 1:
x + 4y = 27

From Equation 2:
x + 2y = 21

Now subtract Equation 2 from Equation 1:
(x + 4y) − (x + 2y) = 27 − 21
=> 2y = 6
=> y = 3

Now substitute y = 3 into Equation 2:
x + 2(3) = 21
x + 6 = 21
x = 15
Hence Fixed charge = Rs. 15 & Extra charge per day = Rs. 3

Was this solution helpful? 57

Click here to download practice questions on Pair of Linear Equations

More Questions on `Pair of Linear Equations`

Question 1

The denominator of a fraction is greater than its numerator by 11. If 8 is added to both its numerator and denominator, it reduces to 1/2. Find the fraction.

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

More Questions on Pair of Linear Equations

More Questions on `Pair of Linear Equations`