how many years will rupees 4000 amount to rupees 463 0.50 at 5% per annum compounded annually
Answers
Step-by-step explanation:
Amount = Rs. 4630.50
→Principal = Rs. 4000
→Rate = 5% p.a.
→Time = ?
So, simply by using the fromula of Amount of CI we can find the answer
\implies \tt{Amount = P \times \bigg(1 + \dfrac{r}{100} \bigg)^{t}}⟹Amount=P×(1+
100
r
)
t
\implies \tt{4630.50 = 4000 \times \bigg(1 + \dfrac{5}{100} \bigg)^{t}}⟹4630.50=4000×(1+
100
5
)
t
\implies\tt{\cancel\dfrac{46305}{10} = 4000 \times \bigg(1 + \cancel\dfrac{5}{100} \bigg)^{t}}⟹
10
46305
=4000×(1+
100
5
)
t
\implies \tt{\dfrac{9261}{2} = 4000 \times \bigg(1 + \dfrac{1}{20} \bigg)^{t}}⟹
2
9261
=4000×(1+
20
1
)
t
\implies \tt{\dfrac{9261}{2 \times 4000} = \bigg(\dfrac{20 + 1}{20} \bigg)^{t}}⟹
2×4000
9261
=(
20
20+1
)
t
\implies \tt{\dfrac{9261}{8000} = \bigg(\dfrac{21}{20} \bigg)^{t}}⟹
8000
9261
=(
20
21
)
t
\implies \tt{\bigg(\dfrac{21}{20} \bigg)^{3} = \bigg(\dfrac{21}{20} \bigg)^{t}}⟹(
20
21
)
3
=(
20
21
)
t
\longrightarrow \boxed{\sf time = 3 \: yrs.}⟶
time=3yrs.
⠀
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