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.

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Answer 1

Step-by-step explanation:

Amount Saritha paid for a book kept for seven days = Rs.27

Amount Susy paid for a book kept for five days = Rs.21

Hence, Saritha kept a book for seven days, which is two days more than Susy's and she has to pay Rs.6 (27-21) more.

Therefore, charge for each extra day = 6/2 = Rs.3 (Ans)

Fixed charge = 21-6(3 days charge)/3 = 15/3 = Rs.5 (Ans)

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Answer 2

Answer:

Solution

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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

putting 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 .

Step-by-step explanation:

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