1.

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»

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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

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\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}}}}}

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