A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs 200 for the first day, Rs 250 for the second day Rs 300 for the third day, etc., the penalty for each succeeding day being Rs 50 more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days?

Explanation

The given penalties are in the form of A.P. having the first term as 200 and the common difference as 50.


Hence, `a = 200` and `d= 50`


The penalty that has to be paid if the contractor has delayed the work by 30 days =` S_30`


By the formula of the sum of nth term, we know,


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