Question

A lending library has a fixed charge for the first three days and additional charge for each day thereafter. Saritha paid Rs. 27 for a book kept for seven days, while Susy paid Rs. 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

Answer 1

Let the fixed charge be Rs. x

and the extra charge be Rs. y

➪ x + 4y = 27 ⟶ ( i )

➪x + 2y = 21 ⟶ ( ii )

)On substracting (i) and (ii),

➪2y = 6

➪y = 3

3putting y in (i),

➪x + 4(3) = 27

➪x = 15

∴x = Rs.15 and y = Rs. 3

∴ Fixed charge = Rs. 15

∴ Charge for each extra day = Rs. 3 .

Answer 2

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Let the fixed charge be Rs. x and the extra charge be Rs. y

x + 4y = 27 (i)

x + 2y = 21 (ii)

On substracting (i) and (ii),

2y = 6

y = 3

Substituting y in (i),

x + 4(3) = 27

x = 15

x = Rs.15 and y = Rs. 3

Fixed charge = Rs. 15

Charge for each extra day = Rs. 3.

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