The total amount at the end of the year can be calculated using the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Total amount
P = Principal amount (Rs 1000)
r = Annual interest rate (12% or 0.12)
n = Number of times interest is compounded per year (2, since it is compounded half-yearly)
t = Number of years (1 year)
Plugging in the values:
A = 1000(1 + 0.12/2)^(2*1)
A = 1000(1 + 0.06)^2
A = 1000(1.06)^2
A = 1000(1.1236)
A = 1123.6
Therefore, the total amount at the end of the year will be Rs 1123.6.