A company offers a starting annual salary of ₹15,000 with a fixed annual increment of ₹d. After n years, the employee’s salary reaches ₹27,000, and the total salary drawn during these n years is ₹1,89,000.
(a) Write an equation connecting a,d and n for the annual salary in the nth year.
(b) Write another equation connecting a,d and n for the total salary drawn in n years.
(c) Solve the system of equations obtained in parts (a) and (b) to find the values of d and n.
(d) Find the total salary that will be drawn in the first 10 years under this scheme.