Question

Find Amount at compound interest if P = ₹ 5000, R = 8 p.c.p.a, N = 3 years solve​

Answer 1

Step-by-step explanation:

A = p(1+R/100)^n

A=5000(1+8/100)³

A =5000×27/25×27/25×27/25

A=1650

Answer 2

Given :

• Principal = ₹ 5000
• Rate = 8%
• Time = 3 years

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To Find :

• Amount and compound interest

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Solution :

$\bigstar$Here in Question Principal, rate of intrerst and time is given, where Principal ₹ 5000, rate of intrerst is 8% and time is 3 years. Firstly By using the formula of Amount we Find the required Amount, Then we will find Compound interest that is is Amount - Principal. By Putting the values in the formula of Amount and C.I we can easily find The Compound interest.

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$\pink{ \underline{ \boxed{ \orange{ \pmb{Amount = Principal \bigg(1 + \dfrac{Rate}{100} \bigg)^{n} }}}}}$

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$:\implies\sf{ 5000 \bigg(1 + \dfrac{8}{100} \bigg)^{3} }$

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$: \implies \sf{ 5000 \times \bigg( \dfrac{108}{100} \bigg)^{3}}$

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$:\implies \sf{ 5 \cancel{000} \times \dfrac{108}{1\cancel{00}} \times \dfrac{108}{10 \cancel{0}} \times \dfrac{108}{100}}$

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$: \implies \sf{5 \times 108 \times \dfrac{108}{10} \times \dfrac{108}{100} }$

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$\implies \sf{108 \times 54 \times \dfrac{54}{50} }$

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$\implies \sf{ \dfrac{314928}{50} }$

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$:\implies{\sf{Amount = Rs.6298.56}}$

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${ \pink{ \underline{ \boxed{ \orange{ \pmb{Compound \: interest = Amount - Principal }}}}}}$

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$: \implies \sf6298.56 - 5000$

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$:\implies{\sf{Rs.1298.56}}$

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${\underline{ \boxed{ \pink { \bf{\therefore{Compound \: interest \: is \: Rs.1298.56}}}}}} \: \red \star$