Question

Find the amount and the compound interest on Rs. 12,800 for one year at 15/2%
per annum compounded semi-annually.​

Answer 1

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Find the amount and the compound interest on Rs. 12,800 for one year at 15/2%

per annum compounded semi-annually.

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P=Rs.12800

Period =1 year

∴Half yearly periods N=2

Rate of interest ={(15)/3}%p.a

∴Half yearly interest = 1/2×15/2

=15/4 %

${A=P(1+R/100)^N}$

=12800[1+ (15/4)/100]N

=12800[(400+15)/400]2

=12800× (415/400) × (415/400)

=Rs.13778

Compound interest =A−P

=Rs.(13778−12800)

=Rs.978

Answer 2

Answer:

$\huge\sf{Answer:-}$

P=Rs.12800

Period =1 year

∴Half yearly periods N=2

Rate of interest ={(15)/3}%p.a

∴Half yearly interest = 1/2×15/2

=15/4 %

{A=P(1+R/100)^N}A=P(1+R/100)

N

=12800[1+ (15/4)/100]N

=12800[(400+15)/400]2

=12800× (415/400) × (415/400)

=Rs.13778

Compound interest =A−P

=Rs.(13778−12800)

=Rs.978