# A person deposits an amount of Rs.10000 at 10% p.a compound interest. For the 1st year the interest is compounded annually. For 2nd year the interest is compounded half yearly. At the end of two years the sum amounts to  Option 1) Rs.12587.5                 Option 2)    Rs.12127.5            Option 3)     Rs.12367.5             Option 4) Rs.12500.5         Option 5)    None of these

$After\: years \: the\: sum \: amounts$ $= 1000 \times 1.1 \times (1.05) ^{2}$
$= 10000 \times \frac{11}{10} \times \frac{21}{20} \times \frac{21}{20}$
$12127.5 Rs.$