The correct option is A ₹ 4221.30
Given
Principal = ₹ 3000
Rate of interest (r) = 10% p.a.
So, r = 5% compounded half-yearly
Since the interest is compounded half-yearly, there will be 7 conversion periods in 3 years and 6 months.
So, n = 7
By using formula for compound interest, we can write
Amount = P[(1+r100)n]
Amount=3000[(1+5100)7]
Amount=3000[(2120)7]
Amount=₹ 4221.30