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Gate receipts at the show of film '' Bag...

Gate receipts at the show of film '' Baghbaan '' amounted to Rs. 9,500 on the first night and showed a drop of Rs. 250 every succeeding night. If the operational expenses of the show are Rs. 2,000 a day, find out on which night the show ceases to be profitable?

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The show ceases to be profitable on the night when the receipts are just Rs. 2000. Thus, by considering that it will happen at nth night.
`:. T_(n)=a+(n-1)d`
`2000=9500+(n-1)(-250)`
`rArr (n-1)=38-8`
`rArr n=31`
Hence, on 31st night, the show ceases to be profitable.
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