Question

reading book in a library has a fixed charge for the first three days and additional charge for each day thereafter. Shristi paid Rs 27 for a book kept for seven days. While Bunty paid Rs 21 for the book kept for
five days.
(1) Find the fixed charge.
(ii) Find how much additional charge Shristi and Bunty paid.
Which mathematical concepts is used in this problem?
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Answer 1

Answer:

Let the fixed charge for 3 days =x and additional charge =y

According to the question

⇒x+4y=27....eq1

⇒x+2y=21....eq2

Subtract eq1 and eq2

⇒(3x+4y=27)−(3x+2y=21)⇒2y=6⇒y=3

put y=3 in eq1

⇒x+4×3=27⇒x=15

Fixed charges = Rs. 15

The charge for each extra day = Rs. 3

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