A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Reema paid Rs. 22 for a book kept for six days, while Ruchika paid Rs 16 for the book kept for four days, then the charge for each extra day is:
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Let the fixed charge be x and additional charge be y per day both in Rs.
For Reema, number of days =6=2+4
Therefore, charge x+4y=22
⇒x=22−4y ....(1)
For Ruchika, number of days =4=2+2
Therefore, charge =x+2y=16
⇒ x=16−2y ....(2)
Comparing (1) and (2), we have
22−4y=16−2y
⇒ y=3
Substituting this value of y in equation (1), we have
x=22−4×3=10
So, fixed charge = Rs. 10
and additional charge = Rs. 3 per day.
Hope it helps...
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