A lending library has a fixed charge for first three days and an additional charge for each day
thereafter. Radhika paid Rs.30 for a book kept for eight days, while Smitha paid Rs.21 for a book kept
for five days. Find the fixed charge and the charge for each extra day.
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Answer: Fixed charge = Rs.15 , Additional charge = Rs.3
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Answer:
let the fixed charge be = Rs X
and additional charge be = Rs Y
so,
x + 5y = 30_______(1)
x + 2y = 21 _______(2)
Subtracting equation (2) from (1)
X + 5Y = 30
X + 2Y = 21
(-) (-) (-)
_________
3y = 9
y = 9/3
y = 3
Substitute y = 3 in equation (2)
X + 2Y = 21
X + 2 (3) = 21
X = 21 - 6
X = 15
So, fixed charge = 15
and additional charge = 3
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