Question

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter Geeta oaid ₹27, for a book kept for seven days while mohit paid ₹21for the book he kept for 5 days find the fixed charges and the charge for each extra day​

Answer 1

━━━━━━━━━━━━━━━━━━━━━━━━━━

Question:-

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter Geeta oaid ₹27, for a book kept for seven days while mohit paid ₹21for the book he kept for 5 days find the fixed charges and the charge for each extra day

━━━━━━━━━━━━━━━━━━━━━━━━━━

$\text{\large\underline{\orange{Solution:-}}}$

Let the fixed charge for 3 days$\bold{= x}$

and additional charge$\bold{= y}$

$\text{\large\underline{\pink{According\:to\:the\: Question:-}}}$

$\bold{⇒x+4y=27....eq1}$

$\bold{⇒x+2y=21....eq2}$

$\text{\large\underline{\green{Subtract eq1 and eq2}}}$

$\bold{⇒(3x+4y=27)−(3x+2y=21)}$$\bold{⇒2y=6⇒y=3}$

$\text{\large\underline{\pink{put y=3 in eq1}}}$

$\bold{⇒x+4×3=27}$

$\bold{⇒x=15}$

$\text{\large\underline{\red{Hence,}}}$

Fixed charges = Rs. 15

The charge for each extra day = Rs. 3

${\fbox{\boxed{\rm{\red{Answer:-Rs= 3}}}}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━

Answer 2

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter Geeta oaid ₹27, for a book kept for seven days while mohit paid ₹21for the book he kept for 5 days find the fixed charges and the charge for each extra day

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

┏━━━━━━━━━━━━━━━━━━━━━━━┓

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ✍️

Let the fixed charge for 3 days =x

and additional charge =y

According to the question:--

$= > x + 4y = 27....(1)$

$= > x + 2y = 21.....(2)$

$\bold{subtracting \:equation \:(1) \:from\: (2)}$

$= > (3x + 4y = 27) - (3x + 2y = 21)$

$= 3x - 3x + 4y - 2y = 27 - 21$

$= 2y = 6$

$\bold{\boxed{\blue{ y = 3}}}$

$\bold{Put\: y's \:value\: in \:equation (1)}$

$= > x + 4 \times 3 = 27$

$= > x + 12 = 27$

$\bold{\boxed{\red{x = 15}}}$

$\bold{Therefore\:,Fixed \:charge={\red{₹15}}}$

$\bold{The\: charge\: for\: each \:extra\: day ={\blue{₹3}}}$

┗━━━━━━━━━━━━━━━━━━━━━━━┛