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Answers
Answer:
Plz refer to the attachment for your answer
Question :
A shopkeeper gives books on rent for getting. She takes a fixed charge for first two days, and an additional charge for each day thereafter. Latika paid 22 for a book kept for 6 days, while Anand paid 16 for the book kept for four days. Find the fixed charges and charge for each extra day.
Solution :
• Let fixed charge be M.
and
• Charge for each extra day be N.
» Latika paid 22 for a book kept for 6 days, while Anand paid 16 for the book kept for four days.
A.T.Q.
→ M + 4N = 22
→ M = 22 - 4N _________ (eq 1)
Also,
→ M + 2N = 16
→ (22 - 4N) + 2N = 16 [From (eq 1)]
→ 22 - 4N + 2N = 16
→ 22 - 2N = 16
→ - 2N = - 6
→ N = 3 (charge per extra day)
Put value of N in (eq 1)
→ M = 22 - 4(3)
→ M = 22 - 12
→ M = 10 (fixed charge)
_____________________________
Fixed charge = Rs. 10 and Charge per day = Rs. 3.
_________ [ ANSWER ]
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