find the amount and compoud interest of P=5000,R=8,N=3
Answers
Answer:
P= Rs.5000
R= 8 percent
T= 3yrs
Therefore,
5000 (1+8/100)(1+8/100)(1+8/100)
=5000×108/100×108/100×108/100
=6298.56
So, Amount=Rs.6298.56
And Compound Interest=Rs.(6298.56-5000)=Rs.1298.56
Step-by-step explanation:
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} }}}}}
Amount=Principal(1+
100
Rate
)
n
Amount=Principal(1+
100
Rate
)
n
\: \: \: \:
\: \: \: \:
:\implies\sf{ 5000 \bigg(1 + \dfrac{8}{100} \bigg)^{3} }:⟹5000(1+
100
8
)
3
\: \: \: \:
\: \:
: \implies \sf{ 5000 \times \bigg( \dfrac{108}{100} \bigg)^{3}}:⟹5000×(
100
108
)
3
\: \: \: \:
\: \:
:\implies \sf{ 5 \cancel{000} \times \dfrac{108}{1\cancel{00}} \times \dfrac{108}{10 \cancel{0}} \times \dfrac{108}{100}}:⟹5
000
×
1
00
108
×
10
0
108
×
100
108
\: \:
\: \: \: \:
: \implies \sf{5 \times 108 \times \dfrac{108}{10} \times \dfrac{108}{100} }:⟹5×108×
10
108
×
100
108
\: \: \: \:
\: \:
\implies \sf{108 \times 54 \times \dfrac{54}{50} }⟹108×54×
50
54
\: \: \: \:
\: \:
\implies \sf{ \dfrac{314928}{50} }⟹
50
314928
\: \: \: \:
\: \:
:\implies{\sf{Amount = Rs.6298.56}}:⟹Amount=Rs.6298.56
\: \: \: \:
\: \: \: \:
{ \pink{ \underline{ \boxed{ \orange{ \pmb{Compound \: interest = Amount - Principal }}}}}}
Compoundinterest=Amount−Principal
Compoundinterest=Amount−Principal
\: \: \: \:
: \implies \sf6298.56 - 5000:⟹6298.56−5000
\: \: \: \:
:\implies{\sf{Rs.1298.56}}:⟹Rs.1298.56
\: \:
\: \:
{\underline{ \boxed{ \pink { \bf{\therefore{Compound \: interest \: is \: Rs.1298.56}}}}}} \: \red \star
∴CompoundinterestisRs.1298.56
⋆