Verified answer

Given : Pooja invested Rs. 60,000 at an interest rate of 12% per annum, compounded half-yearly.

[tex] \begin{gathered} \\ \\ \end{gathered}[/tex]

To Find : What amount would she get-

(i) After 6 months?

(ii) After 1 year?

[tex]\begin{gathered} \\ \\ \qquad{ \rule{280pt}{2.8pt}} \\ \end{gathered}[/tex]

SolutioN :

[tex] \dag{ \underline{ \underline{ \displaystyle{ \mathsf{ \: \: We \: know \: that, \: \: }}}}}[/tex]

[tex]\large{ \underline{ \boxed{ \pmb{ \orange{ \mathsf{A=P \: (1+ \frac{R}{100}) ^{n} }}}}}} \color{purple}\bigstar[/tex]

Where,

• ➢ A = Amount
• ➢ P= Principal
• ➢ R = Rate
• ➢ T = Time Period

[tex] \begin{gathered} \\ \\ \end{gathered}[/tex]

[tex]\dag{ \underline{ \underline{ \displaystyle{ \mathbf{ \: \: As \: Per \: Given ConditioN, \: \: }}}}}[/tex]

[tex]\large{\leadsto \;}[/tex] Principal (P) = Rs.60000.

[tex]\large{\leadsto \;}[/tex] Rate (r)= 12% = 6% per 6 months.

[tex] \begin{gathered} \\ \end{gathered}[/tex]

[tex] \red{❒} {\underline{ \underline{ \mathsf{ \: \: After 6 months \: :-}}}}[/tex]

[tex] \begin{gathered} \: \\ \pmb{\dashrightarrow}{ \displaystyle{ \mathsf{ \: A=60000×(1+ \frac{6}{100}6)^{1}}}} \\ \\ \end{gathered}[/tex]

[tex] \begin{gathered} \: \\ \pmb{\dashrightarrow}{ \displaystyle{ \mathsf{ \: A=60000×(1+0.06) }}} \\ \\ \end{gathered}[/tex]

[tex] \begin{gathered} \: \\ \pmb{ \underline {\boxed{ \displaystyle{ \pmb{ \mathsf{ \blue{ \leadsto \: \:A=63600 }}}}}}} \\ \\ \end{gathered}[/tex]

[tex] \purple{❒} {\underline{ \underline{ \mathsf{ \: \: \:After 1 year- :-}}}}[/tex]

[tex] \begin{gathered} \: \\ \pmb{ \dashrightarrow }{ \displaystyle{ \mathsf{ \: A=60000×(1+ \frac{6}{100})^{2}}}} \\ \\ \end{gathered}[/tex]

[tex] \begin{gathered} \: \\ \pmb{ \dashrightarrow}{ \displaystyle{ \mathsf{ \: A=60000×(1+0.06)^{2} }}} \\ \\ \end{gathered}[/tex]

[tex] \begin{gathered} \: \\ \pmb{ \underline {\boxed{ \displaystyle{ \pmb{ \mathsf{ \green{ \leadsto \: \: A=67416 }}}}}}} \\ \\ \end{gathered}[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \therefore \;[/tex] The amount she get after 6 months and 1 year will be Rs.63600 and Rs.67416.

[tex]\begin{gathered} \\ \\ \underline{ \rule{300pt}{8pt}} \\ \end{gathered}[/tex]

^_^

Answer:

Vasudevan invested ₹ 60,000 at an interest rate of 12% per annum compounded half-yearly. The amount would he get (i) after 6 months is ₹ 63600 (ii) after 1 year is ₹ 67416.