Question

At what rate percentage p.a will ₹ 625 amount to ₹ 676 in 2 years, Where the interest is compounded annually ?​

Answer 1

$\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}$

• At what rate percentage p.a will ₹ 625 amount to ₹ 676 in 2 years, Where the interest is compounded annually ?

$\large\underline{ \underline{ \sf \maltese{ \: Given:- }}}$

• Amount = Rs, 676
• Principal = Rs, 625
• Time = 2 years

$\large\underline{ \underline{ \sf \maltese{ \: To \: Find:- }}}$

• What is the Rate Percentage ?

$\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}$

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: Amount \: = \: Principal \: \bigg(1 \: + \: \frac{Rate}{100} \bigg)^{n} }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\bf{ 676\: = \: 625 \: \bigg( \frac{100 \: + \: Rate}{100} \bigg)^{2} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \frac{676}{625} \: = \:\: \bigg( \frac{100 \: + \: Rate}{100} \bigg)^{2} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \bigg( \frac{26}{25} \bigg)^{2} \: = \:\: \bigg( \frac{100 \: + \: Rate}{100} \bigg)^{2} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \bigg( \frac{26}{25} \bigg)^{ \cancel2} \: = \:\: \bigg( \frac{100 \: + \: Rate}{100} \bigg)^{ \cancel2} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \frac{26}{25} \: \times \: 100\: = \:\: 100 \: + \: Rate }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \frac{26}{ \cancel{25}} \: \times \: \cancel{100}\: = \:\: 100 \: + \: Rate }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 26 \: \times \: 4\: = \:\: 100 \: + \: Rate }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 104 \: = \:\: 100 \: + \: Rate }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 104 \: - \: 100 \: = \:\: \: Rate }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 4 \: = \:\: \: Rate }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\bf{Rate \: Percentage \: = \: 4 \% }}}$

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Answer 2

Step-by-step explanation:

⠀━━━━━━━━━━━━━━━━━━━━━━━━$\huge \bf{ \boxed{ \boxed{ \red{ \bigstar{ \underline{ \sf{ \blue{ \mathfrak{answer}}}}}}}}}$

refer to the attachment❤️

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