Question

years be 6. Calculate the compound interest on 15,000 in 3 years, if the rates of interest for successive years be 6%, 8% and 10% respectively​

Answer 1

${ \huge{ \boxed{ \bf{\underline{ \red{Answer}}}}}} : -$

Calculate the Amount A¹ after the first

year.

Calculation :-

$\begin{aligned}    {{A}_{1}}&=P+\frac{P\times {{r}_{1}}\times T}{100} \\ & =15000+\frac{15000\times 6\times 1}{100} \\ & =15000+900 \\ & =15900  \end{aligned}$

Calculate the Amount A² after the second year.

Calculation :-

$\begin{aligned}    {{A}_{2}}&={{A}_{1}}+\frac{{{A}_{1}}\times r\times T}{100} \\ & =15900+\frac{15900\times 8\times 1}{100} \\ & =15900+1272 \\ & =17172  \end{aligned}$

Calculate the Amount A³ after the third year.

Calculation :-

$\begin{aligned}    {{A}_{3}}&={{A}_{2}}+\frac{{{A}_{2}}\times r\times T}{100} \\ & =17172+\frac{17172\times 10\times 1}{100} \\ & =17172+1717.2 \\ & =18889.2  \end{aligned}$

Calculate the Compound Interest (I).

Calculation :-

$\begin{aligned}    I&={{A}_{3}}-P \\ & =18889.2-15000 \\ & =3889.2  \end{aligned}$

The compound interest on Rs 15000 in 3 years if the rates of interest for successive years is 6%, 8% and 10% respectively will be Rs. 3889.2

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Hope it's Helpful :)

Answer 2

Answer:

${ \huge{ \boxed{ \bf{\underline{ \green{Answer}}}}}}$

Calculate the Amount A¹ after the first year.

$\begin{gathered}\begin{aligned} {{A}_{1}}&=P+\frac{P\times {{r}_{1}}\times T}{100} \\ & =15000+\frac{15000\times 6\times 1}{100} \\ & =15000+900 \\ & =15900 \end{aligned}\end{gathered}$

Calculate the Amount A² after the second year.

$\begin{gathered}\begin{aligned} {{A}_{2}}&={{A}_{1}}+\frac{{{A}_{1}}\times r\times T}{100} \\ & =15900+\frac{15900\times 8\times 1}{100} \\ & =15900+1272 \\ & =17172 \end{aligned}\end{gathered}$

Calculate the Amount A³ after the third year.

$\begin{gathered}\begin{aligned} {{A}_{3}}&={{A}_{2}}+\frac{{{A}_{2}}\times r\times T}{100} \\ & =17172+\frac{17172\times 10\times 1}{100} \\ & =17172+1717.2 \\ & =18889.2 \end{aligned}\end{gathered}$

Calculate the Compound Interest (I).

$\begin{gathered}\begin{aligned} I&={{A}_{3}}-P \\ & =18889.2-15000 \\ & =3889.2 \end{aligned}\end{gathered}$

The compound interest on Rs 15000 in 3 years if the rates of interest for successive years is 6%, 8% and 10% respectively will be Rs. 3889.2