Question

Sudha invest Rs15000 at the rate of 10Percent annum coumpounted half yearly what amount she will get at the end of the year

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Compound\:Interest=1537.5\:rupees}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Principal(p) = 15000 \: rupees \\ \\ \tt: \implies Time(t) = 1 \:year\\ \\ \tt: \implies Rate\%(r) = 10\% \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Compound \: Interest(C.I) = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies A = p(1 + \frac{ \frac{r}{2} }{100} )^{2t} \\ \\ \tt: \implies A = 15000 \times (1 + \frac{10}{2 \times 100} ) ^{2} \\ \\ \tt: \implies A = 15000 \times (1 + 0.05)^{2} \\ \\ \tt: \implies A = 15000 \times {(1.05)}^{2} \\ \\ \tt: \implies A= 15000 \times 1.1025 \\ \\ \green{\tt: \implies A = 16537.5 \: rupees} \\ \\ \bold{For \: compound \: interest : } \\ \tt: \implies C.I = A - p \\ \\ \tt: \implies C.I = 16537.5- 15000 \\ \\ \green{ \tt: \implies C.I =1537.5 \: rupees}$

Answer 2

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QUESTION -

Sudha invest Rs15000 at the rate of 10Percent annum coumpounted half yearly.

what amount she will get at the end of the year ?

ANSWER :

From the above Question, we can get the following information....

Principle = Rs. 15000

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

Time = 1 year = 2 half years.

We know that :

Amount = P ( 1 + ( r/ 2 ) / 2 × 100 ) ^ { 2t }

=> Amount = 15000 × ( 1.05 ) ^ 2

=> Amount = 15000 × 1.1025

=> Amount = 16537.5

ANSWER : -

The required amount is RS. 16537.5