Ask a Teacher
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. |