Question

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(｡◕‿◕｡)➜
find the amount and the compound interest on Rs.10,000 for 1½ years at 10% per annum, compounded half- yearly.
would this interest be more than the interest he would get if it was compounded annually❓
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Answer 1

❥ Answer :-)

Principal = Rs.10,000

Time =

$1 \frac{1}{2} \: \: \: \: \: rate$

Rate = 10% per annum

CASE 1 Interest on compounded half yearly.

Rate = 10% per annum = 5 % per half yearly

$T = 1 \frac{1}{2} \: \: years$

$n = 3$

$A=P (1 - \frac{r}{100}) {}^{n}$

$A = 10000(1 + \frac{5}{100}) {}^{3}$

$A=10000(1 + 0.05) {}^{3}$

$A=11576.25$

CI = Amount - principal

CI = 1576.25

CASE 2 Interest on compounded anually

Rate = 10% per annum

$T=1 \frac{1}{2} \: years$

$n = 1$

$A=P(1 + \frac{r}{100} ) {}^{3}$

$A= 10000(1 + \frac{10}{100} ) {}^{1}$

$A= 10000(1 + 0.1) {}^{1}$

$A= 10000(1.1) {}^{1}$

CI = Amount - principal

CI = 1000

Interest for half years on 11000 =

$\frac{P \times R \times T}{100}$

$= \frac{11000 \times 10 \times \frac{1}{2} }{100}$

$= 55 \times 10$

$= 550$

Total interest =

$1000 + 550$

$= rs \: 1550$

Since 1576.25

1000

Thus, interest would be more in CASE 1 i.e. compounded half yearly

Good Night :D ❤️

Answer 2

Answer:

yaar pls give me some free points