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A lending library has a fixed charge for the first two days and an additional charge for each day thereafter. Sunil paid Rs 28 for a book kept for seven days, while Sohail paid Rs 32 for the book he kept for nine days. Find the charge for each extra day.​
  • a)
    Rs 3
  • b)
    Rs 20
  • c)
    Rs 2
  • d)
    Rs 18
Correct answer is option 'C'. Can you explain this answer?
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A lending library has a fixed charge for the first two days and an add...
Given data:
Charge for the first two days = fixed charge
Charge for each day thereafter = extra charge
Sunil paid Rs 28 for a book kept for 7 days
Sohail paid Rs 32 for a book kept for 9 days

To find: Charge for each extra day

Let the fixed charge be 'a' and extra charge be 'b'.

From the given data, we can form the following equations:
2a + 5b = 28 (for Sunil)
2a + 7b = 32 (for Sohail)

Subtracting the first equation from the second, we get:
2b = 4
b = 2

Substituting b = 2 in any of the above equations, we get:
2a + 5(2) = 28
2a + 10 = 28
2a = 18
a = 9

Therefore, the fixed charge is Rs 9 and the extra charge is Rs 2.

Hence, the correct option is (c) Rs 2.
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A lending library has a fixed charge for the first two days and an additional charge for each day thereafter. Sunil paid Rs 28 for a book kept for seven days, while Sohail paid Rs 32 for the book he kept for nine days. Find the charge for each extra day.​a)Rs 3b)Rs 20c)Rs 2d)Rs 18Correct answer is option 'C'. Can you explain this answer?
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