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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. Latika paid Rs 22 for a book kept for six days, while Anand paid Rs 16 for the book kept for four days. Find the fixed charges and the charge for each extra day.

Answers (1)

Solution:
Let x be the fixed charges and y be the extra charges for each day.
According to question equation for latika is
x + 4y = 22                  … (1)
For Anand
x + 2y = 16                  … (2)
Subtract equation (1) and (2) we get
4y – 2y = 22 – 16
2y = 6

y = \frac{6}{2} = 3
Put y = 3 in equation (1)
x + 4 (3) = 22
x = 22 – 12
x = 10
The fixed charge is = 10 Rs.
Additional charges = 3 Rs.

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