Question

Principal=2000,R=12percent,Time=2years and 6 months.​

Answer 1

Given

• Principal (P) = 2000
• Rate of interest (R) = 12%
• Time (T) = 2 years 6 months

To Find

• Simple Interest

Formula Using

`\large\begin{gathered} {\underline{\boxed{ \rm {\red{S.I \: = \: (P × R × T)/(100) }}}}}\end{gathered}`

Basic Terms

• Simple Interest - Simple interest is the method of calculating interest charged on the amount invested in a fixed deposit.

• Principle - The principal is the amount due on any debt before interest, or the amount invested before returns.

• Rate - An interest rate is the percentage of principal charged by the lender for the use of its money.

• Time = Time is duration (in months or years) in Simple Interest.

Solution

As we know that , first we need to convert 2 years 6 months into years.

`\sf \ \implies \: 1 \: \: year \: = \: 12 \: \: months`

`\sf \implies \: 2 \: \: years \: \: and \: \: 6 \: \: months \: = \: 30 \: \:months`

`\sf \implies \: \:\frac{ \cancel{30} \: \: ^(2.5 \: \: years) }{ \cancel{12 \: }} \\`

`\bf{\blue{ Time \: = \: 2.5 \: \: years}}`

• Now , we have to find the Simple interest.

`\Large\rm{\orange{ \begin{cases} \large\begin{gathered} {\underline{\boxed{ \rm {\purple{S.I \: = \: (P × R × T)/(100) }}}}}\end{gathered} \end{cases}}}`

Substuting the values

`\tt \large \longrightarrow \: \: S.I \: = \: (2000 \: × \: 12 × \: 2.5)/(100) \\`

`\tt \large \longrightarrow \: \: S.I \: = (60000)/(100) \\`

`\tt \large \longrightarrow \: \: S.I \: = (600 \cancel0 \cancel0)/(1 \cancel0 \cancel0) \\`

`\tt \large \longrightarrow \: \: S.I \: = \: 600`

`\large \underbrace{\textrm {{{\color{navy}{Simple Interest \: = \: 600}}}}}`

Answer 2

• Principal=P=2000
• Rate of interest=12%
• Time=2years and 6months=2.5years
• Interest=I

`\boxed{\sf I=(PRT)/(100)}`

`\\ \sf\longmapsto I=(2000(12)(2.5))/(100)`

`\\ \sf\longmapsto I=(24000(2.5))/(100)`

`\\ \sf\longmapsto I=(60000)/(100)`

`\\ \sf\longmapsto I=600`