Question

Compute the amount of ₹65536 for 1½ years at 12½%p.a. The interest being compounded semi-annually.

Answer 1

Answer:

amount = 78608

Step-by-step explanation:

12 1/2 % = 1/8

for semi annually = 1/2*1/8

= 1/16

1 1/2 year, semi annually means 3 times.

amount = 65536 * 17/16 * 17/16 * 17/16

= 16 * 17 * 17 * 17

= 78608

Answer 2

$= > principal = rs.65536$

$= > rate \: of \: intrest \: = 12 \times \frac{1}{2} \%per \: annum = \binom{25}{4} \%per half \: year$

$= > time = 1 \times \frac{1}{2} yrs. = 3 \: half \: years$

$= > amount = rs.65536 \times 1 + \frac{25}{400}^{3}$

$= > rs.65536 \times \frac{17}{16}^{3} = rs.65536\times \frac{17}{16} \times \frac{17}{16} \times \frac{17}{16}$

$= > rs.78608$

Hence, the compound interest = RS. 78,608