Find the amount and the compound interest on 12800

Asked by admin @ 20/08/2021 in Math viewed by 334 People

Find amount and compound interest on rs 12800 for 1 year at 15/2 per annum compounded semi-annually

Answered by admin @ 20/08/2021

Answer:

compound interest = Rs 978

compound interest = Rs 978Amount (A) = Rs 13778

Step-by-step explanation:

We have,

Principal (P) = Rs 12800

Time (T) = 1 year

Rate of interest = 15/2 p.a

Rate of interest semi annually (r) = 1/2×(15/2)= 15/4 %

Number of times interest paid (n)= 2

/* we know that,

$\boxed { Amount (A)=P\big(1+\frac{r}{100}\big)^{2}}$

$A = 12800\big(1+\frac{\frac{15}{4}}{100}\big)^{2}$

$A = 12800\big(\frac{400+15}{400}\big)^{2}$

$\implies A = 12800\big(\frac{415}{400}\big)^{2}$

$\implies A = 12800\times \frac{415\times 415}{400\times 400 }$

$\implies A = Rs\:13778$

$Compound \: interest = A - P\\=Rs \:13778 - Rs\:12800\\=Rs\:978$

Therefore,

compound interest = Rs 978

Amount (A) = Rs 13778

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