Question

If principle is rs 1,00,000, rate of interest is 10% compounded half yearly. find interest for 6 months

Answer 1

$p = 100000 \\ r = \frac{10}{2} = 5\% \\ t = \frac{6}{12} \times 2 = 1 \: half \: year \\ amount = p(1 + \frac{r}{100} )^{n} \\ = 100000(1 + \frac{5}{100} )^{1} \\ = 100000 \times \frac{21}{20} \\ = 5000 \times 21 \\ = 105000 \\ compound \: interest = a - p \\ \: \: \: \: \: \: \: \: = 105000 - 100000 \\ \: \: \: \: \: \: \: = 5000$

Answer 2

Answer:

5000

Explanation:

first find the interest for 1 year, subtract it from principal and then divide it by 2.

1,00,000 (1+10/100)

=1,00,000 x 110/100

=110000

1,10,000-1,00,000=10,000

10,000/2

=5000

hope it helps