Question

A contract on construction job specifies a penalty for delay of completion beyond a certain limit as follows: Rs.200 for first day, Rs. 250 for second day, Rs.300 for third day, etc. If the contractor pays Rs.27,750 as penalty, find the numbers of days for which the construction work is delayed. 

Answer 1

Here, a = 200, d = 50, S_n = 27750 

Comparing it with ax² + bx + c = 0, we get 

But n ≠ -37 as number of days cannot be negative. 

∴ Number of days are 30.