A sum invested at compound interest amounts to ₹13,824 in 2 years and to ₹16,588.80 in 3 years at a certain rate percent per annum, interest being compounded yearly. What will be the amount of the same sum at the end of the $$4^{th}$$ year (nearest to a rupee)?

A

₹20,238

B

₹18,248

C

₹19,907

D

₹18,579