A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Arushi paid Rs.27 for a book kept for seven days. If fixed charges are Rs.$x$ and per day charges are Rs.$y$. Write the linear equation representing the above information.

Question

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Arushi paid Rs.27 for a book kept for seven days. If fixed charges are Rs.$x$ and per day charges are Rs.$y$. Write the linear equation representing the above information.

Vedantu Content Team · Accepted Answer

Hint- Sum of fixed charges and additional charges of library is Rs.27

Given data:
Fixed charge is $x$Rs. for the first three days.
And after that per day charges are$y$Rs.
But Arushi kept the book for 7 days.
So, remaining day’s \[{\text{ = 7 - 3 = 4}}\]days.
$\therefore $ Additional charges $ = $($4 \times $(Price for per day charge))
It is given that Arushi paid Rs. 27 for the book
Now according to given condition
Fixed charges $ + $ additional charges $ = $Rs.27
$\therefore $Fixed charges$ + $ ($4 \times $(Price for per day charge))$ = 27$
\[ \Rightarrow x + 4y = 27\]
So, this is the required linear equation.

Note- Whenever we face such types of questions first find out the remaining days for which additional charges are applied , then according to the given condition which is written above formulate the linear equation, we will get the required linear equation representing the above information.

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Arushi paid Rs.27 for a book kept for seven days. If fixed charges are Rs.$x$ and per day charges are Rs.$y$. Write the linear equation representing the above information.

NCERT Book Solutions

Reference Book Solutions

Question Papers

Exams

Quick Links

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Arushi paid Rs.27 for a book kept for seven days. If fixed charges are Rs.$x$ and per day charges are Rs.$y$. Write the linear equation representing the above information.

Book your FREE Online counselling session

Your FREE Online counselling session has been booked!

Please try again later

NCERT Book Solutions

Reference Book Solutions

Question Papers

Exams

Quick Links