find simple interest and amount for principal rupees 900 years at 6% p.a.
Answers
Answer:
The simple interest is Rs. 27.
Step-by-step explanation:
To Find :-
The simple Interest
Solution:
Given that,
Principal = Rs. 900
Rate = 6% p.a
Time = 6 months
As we know that,
\bigstar \: \: \sf{1 \: year \: = \: 12 \: months}★1year=12months
So,
Converting 6 months to years,
\sf{ = \dfrac{6}{12} \: year \: = \cancel{\dfrac{6}{12}}} \: year \: = \bf{\dfrac{1}{2} \: year}=
12
6
year=
12
6
year=
2
1
year
Now,
\underline{\frak{As \: \: we \: \: know \: \: that,}}
Asweknowthat,
\underline{ \boxed{\bf{Simple \: interest = \dfrac{P \times R \times T}{100}}}}
Simpleinterest=
100
P×R×T
Where,
P = Principal
R = Rate
T = Time
\sf{\therefore \: According \: the \: question}∴Accordingthequestion
\begin{gathered} \mapsto \: \sf{Simple \: interest = \dfrac{P \times R \times T}{100}} \\ \\ \\ \mapsto \: \sf{ \dfrac{900 \times 6 \times 0.5}{100}} \\ \\ \\ \mapsto \: \sf{ \dfrac{5600 \times 0.5}{100}} \\ \\ \\ \mapsto \: \sf{ \dfrac{2700}{100}} \\ \\ \\ \mapsto\sf{ \cancel{\dfrac{2700}{100}}} \\ \\ \\ \mapsto \: \boxed{\frak{ \purple{27}}} \: \star\end{gathered}
↦Simpleinterest=
100
P×R×T
↦
100
900×6×0.5
↦
100
5600×0.5
↦
100
2700
↦
100
2700
↦
27
⋆
Hence,
The simple interest is Rs. 27.