Question

A lending library has a fixed charge for one week and charges fine for keeping the book for each day there after. Manan had taken a book and returned the book late by one day due to rain on that day and paid Rs. 25 for it. Diptanshu had taken a book but paid Rs.85 for it as he had forgotten to return it and after getting a reminder from concerned persons returned it after 5 days. Find the fixed charge and the total amount of fine money paid by them

Answer 1

Step-by-step explanation:

Given that: A lending library has a fixed charge for one week and charges fine for keeping the book for each day thereafter Manan had issued a book and paid rupees 25 as he delayed it by 1 day due to rain on that day. diptanshu had issued a book but paid rupees 85 for a book as he had forgotten to return it and delayed by 5 days and returned it after getting a reminder from the concerned person.

To find: find the fixed charge and the total amount of fine money paid by them?

Solution:

Let us assume that fixed charge for one week is x rupees

Fine amount for 1 day delay is y rupees

ATQ,

Manan deposite 1 day late,

$\bold{x + y = 25} \: \: \: \: ...eq1$

Diptanshu had returned 5 day late and paid rupees 85 for a book

$\bold{x + 5y = 85} \: \: \: \: ...eq2$

Now subtract both equations

$x + y = 25 \\ x + 5y = 85 \\ ( - ) ( - ) \: \: \: ( - ) \\ - - - - - \\ - 4y = - 60 \\ \\ y = \frac{60}{4} \\ \\ \bold{y = 15}$

put the value of y in eq 1

$x + 15 = 25 \\ \\ x = 25 - 15 \\ \\ \bold{x = 10}$

Fixed charge for 1 week is Rs 10

Fine amount for per day delay is Rs 15

Hope it helps you.

Answer 2

Answer:

Fixed charge for 1 week is Rs 10

Fixed charge for 1 week is Rs 10Fine amount for per day delay is Rs 15