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InterviewSolution
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A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days and an additional charge for each day thereafter. Latika paid Rs. 22 for a book kept for six days, while Anand paid Rs. 16 for the book kept for four days. Find the fixed charges and the charge for each extra day. |
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Answer» Let the fixed charged for first two days = Rs x Let the additional charges per day after 2 days = Rs y Latika paid Rs. 22 for six days. (Given) 2 days fixed charges + (6 - 2) days charges = 22 implies x + 4y = 22 …(1) Anand paid Rs. 16 for books kept for four days. 2 days fixed charges + (4 - 2) days additional charges = 16 implies x + 2y = 16 ...(2) x + 2y = 16 [from (2)] `{:(" x + 4y = 22 [from (1)]"),( " "ul "- - -"),(" -2y = - 6 [subtracting equation (1) from (2)]"):}` implies y = Rs. 3 per day Now, x + 2y = 16 [from (2)] implies x + 2(3) = 16 implies x = 16 - 6 implies x = 10 `{:("So, the fixed charges for first 2 days = Rs. 10"),("The additional charges per day after 2 days = Rs. 3 per day "):}}` |
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