Given details are,
Principal (p) = Rs 8192
Rate (r) = 12 ½ % per annum = 25/2×2 = 25/4% = 12.5/2% (half yearly)
Time (t) = 18 months = 18/12 = 1 ½ years = (3/2) ×2 = 3years
By using the formula,
A = P (1 + R/100) n
= 8192 (1 + 12.5/2×100)3
= 8192 (212.5/200)3
= Rs 9826
∴ Amount is Rs 9826.