Question

Vikram borrowed rs.20000 from a bank at 10% per annum simple intrest. He lent it to his friend venkat at the same rate but compounded annually. find his gain after 2 and a half years.​

Answer 1

Step-by-step explanation:

★Given

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Vikram borrowed rs.20000 from a bank at 10% per annum simple intrest. He lent it to his friend venkat at the same rate but compounded annually. find his gain after 2 and a half years.

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★To Find

• Gain After 2 Years And 6Months?

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★Solution

✍︎Given That,

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• $\mapsto\footnotesize\text \pink{(P) = 20000 }$
• $\mapsto\footnotesize\text \pink{ (R) = 10\%}$
• $\mapsto\footnotesize\text \pink{(t) = 2.5 Years}$

Formula Used

$\large{\blue{\bigstar}} \: \: {\underline{\boxed{\green{\sf{ S.I= \frac{P \times R\times T}{100} }}}}}$

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$\tt\large\underline{\longmapsto=20000×10×\frac{2.5}{100} = 50}$

$\tt\large\underline{\longmapsto \:Compound \: Interest=\tt\large\underline\green{P(1 + \frac{r}{100} ) \times T}}$

• Here rate of interest count as half yearly;

$\tt\large\underline {\longmapsto \: R = \frac{R }{2} \: \: and \: t \: \bf \mathfrak{ = 5}}$

$\tt\large\underline{\longmapsto= 200001 + \frac{10}{2} \times 100</p><p>}$

$\tt\large\underline{\longmapsto \bf \mathfrak{= 20000 | 1.05 ^5}}$

$\tt\large\underline{\longmapsto \mathfrak{= 20000×1.27 = 25525.6}</p><p>}$

• Gain = Compound Interest - Simple Interest.

$\bf{\longmapsto \: Gain = \tt\large\underline\green \: { 25525.6-5000 = 20525.6} }$

More To Know-

$\begin{gathered}\:\:\:\:\:\:\:\:\tt\color{aqua}{●\mid} \underbrace{\color{teal}{A = A + S.I}}\color{aqua}{\mid●}\\\end{gathered}●∣$

$\large{\blue{\bigstar}} \footnotesize\ \bf\blue{ P= \frac{S.I \times 100}{R\times T} }$

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