Question

# Question 20 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.

Solution

## Let latika takes a fixed charge for the first two days is Rs. x and additional charge for each day thereafter are Rs. y. Now, by the first condition Latika paid Rs. 22 for a book kept for six days i.e.,                                          x + 4 y = 22 now, subtracting Eq. (ii) from Eq. (i) we get                                           2y = 6 ⇒ y = 3 On putting the value of y in Eq. (ii), we get                                        x + 2 × 3 = 16                                         x = 16 – 6 = 10 hence,                                  the fixed charge = Rs. 10 and the charge for each extra day = Rs. 3

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