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Pair of Linear Equations in Two Variables
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27/05/2021 11:56 am
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A lending library has a fixed charge for the first three days and an 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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27/05/2021 11:57 am
Let the fixed charge for the first three days be Rs. A and the charge for each day extra be Rs. B.
According to the information given,
A + 4B = 27 ………………. (i)
A + 2B = 21 ……………….. (ii)
When equation (ii) is subtracted from equation (i) we get,
2B = 6
B = 3 ……………………(iii)
Substituting B = 3 in equation (i) we get,
A + 12 = 27
A = 15
Hence, the fixed charge is Rs. 15.
And the Charge per day is Rs. 3.