Question

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Answer 1

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

$\green{\tt{\therefore{Compound\:Interest=679.182\:rupees}}}$

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

$\green{\underline \bold{Given:}} \\ \tt: \implies Principal(p) = 3500 \: rupees \\ \\ \tt: \implies Rate\%(r) = 6\% \\ \\ \tt: \implies Time(t) = 3 \: years \\ \\ \red{\underline \bold{To \: Find:}} \\ \tt: \implies Compound \: Interest(C.I)= ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies A= p(1 + \frac{ \frac{r}{2} }{100} )^{2t} \\ \\ \tt: \implies A=3500 \times (1 + \frac{6}{2 \times 100} )^{2 \times 3} \\ \\ \tt: \implies A =3500 \times (1 + 0.03)^{6} \\ \\ \tt: \implies A=3500 \times {(1.03)}^{6} \\ \\ \tt: \implies A =3500 \times 1.194052 \\ \\ \green{\tt: \implies A=4179.182 \: rupees} \\ \\ \bold{For \: compound \: interest : } \\ \tt: \implies C.I=A - p \\ \\ \tt: \implies C.I =4179.182 - 3500\\ \\ \green{\tt: \implies C.I =679.182 \: rupees}$

Answer 2

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$\tt{\huge{\blue{ ................... }}}$

QUESTION :

Calculate the CI on Rs. 35000 at 6 % per annum for three years , the interest rate being compounded half yearly.

Do not use Mathematical tables.

Use the necessary information from the following..

${ 1.06 } ^ 3 = 1.191016 \\ \\ { 1.03 } ^ 3 = 1.092727 \\ \\ { 1.06 } ^ 6 = 1.419519 \\ \\ { 1.03 } ^ 6 = 1.194052$

SOLUTION :

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

CI on Rs. 35000 at 6 % per annum for three years , the interest rate being compounded half yearly.

The principle is Rs. .35000

The rate is 6% half yearly.

The time is 6 years.

We know that :

A = 3500 × [ { 1 + 6 / 200 } ^ 6

=> A = 3500 × { 1.03 } ^ 6 = Rs. 4719.182

CI = A - P = Rs. 4719.182 - Rs. 3500 = Rs. 1219.182