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the ticket receipts at the show of a film amounted to rs. 6500 on the first day and showed a drop of rs. 110 every succeeding day. if the operational expenses of the show are rs. 1000 a day. find on which day the show ceases to be profitable ?
first term (a) 6500 and common difference (d) = -110

 

Also operational expenses of the show = Rs 1000

Now, let the day on which the show ceases to be profitable be n

? an = 1000

? a + (n – 1) d = 1000

? 6500 + (n – 1) (–110) = 1000

? 6500 – 110n + 110 = 1000

? 110n = 6610 – 1000 = 5610

Hence of 51st day the show ceases to be profitable.


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