Correct option is C
Given:
Principal (P) = Rs. 2200
Compound Interest (CI) = Rs. 3836.8
Time = 1.5 years (or 3 half-yearly periods)
Solution:
Compound Interest (CI) = Amount (A) - Principal (P)
Total amount (A) = CI + P = 3836.8 + 2200 = Rs. 6036.8
P = Rs. 2200
A = Rs. 6036.8
6036.8 = 2200 × (1 + r/200)³
Dividing both sides by 2200:
(1 + r/200)³ = 6036.8 ÷ 2200 ≈ 2.744
Taking the cube root of both sides:
1 + r/200 ≈ 1.4
r/200 ≈ 0.4
Therefore, r ≈ 80% per annum.