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Linear Equations In Two Variables — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsLinear Equations In Two Variables3 Marks
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

Let fixed charge be Rs. x and additional charge be Rs. y respectively.
According to question
x + 4y = 27 .....(i)
x + 2y = 21 ........(ii)
Subtracting (ii) from (i) we get
⇒ 2y = 6
$\Rightarrow\text{y}=\frac{6}{2}=3$
Putting y = 3 in eq. (i) we get
⇒ x + 3 × 4 = 27
⇒ x + 12 = 27
⇒ x = 27 - 12
⇒ x = 15
Thus, fixed charge = Rs. 15 and charge for each extra day = Rs. 3

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