Question

What is the compound interest on 4000 for 1 year if interest is at 10% p.a. compounded half-yearly​

Answer 1

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${\green{\underbrace{\underline{ANSWER}}}}$

${ The}$ ${ formula}$ ${for }$ ${C.I }$ ${ is-}$

${ Amount= \ P \ × \ (}$ ${1+{\frac{Rate}{100}}}$ ) ^n

= ${ Amount= \ 4000 \ (}$ ${1+{\frac{10}{100×2}}}$ ) ^2 × ${\frac{1}{2}}$

=${Amount = \ 4000 \ ( }$ ${\frac{21}{20}}$ )

=${ A = \ 4000 \ × }$ ${\frac{21}{20}}$

= ${A= \ 200 \ × 21 }$

= ${A= \ 4100 }$

= ${ C.I \ = \ Amount \ - \ Principal}$

= ${ C.I \ = \ 4100 \ - \ 4000}$

= ${ C.I \ = \ 100}$ ${ ( \ compounded \ half \ yearly \ )}$

${Hopefully}$ ${it}$ ${helps!! }$

${\underline{\large{\underbrace{THANKYOU!}}}}$