Question

find the time in which simple interest on rs.12900 at 8/1/3% per annum will be rs. 3225​

Answer 1

Given

• Principal (p) = ₹ 12900
• Rate (r) = 8/1/3% = 8/3%
• Simple Interest = ₹ 3225

Explanation

Let the time taken in transaction be x and we have to apply Simple Interest Formula :-

$\maltese{\pmb{\boxed{\sf{ Interest _{(Simple)} = \dfrac{P \times R \times T}{100} }}}} \\ \\ \\ \colon\implies{\sf{ 3225 = \dfrac{12900 \times \dfrac{8}{3} \times x}{100} }} \\ \\ \\ \colon\implies{\sf{ 3225 = \dfrac{129 \cancel{00} \times 8 \times x}{ \cancel{100} \times 3} }} \\ \\ \\ \colon\implies{\sf{ 3225 = \dfrac{ \cancel{129} \times 8 \times x}{ \cancel{3} } }} \\ \\ \\ \colon\implies{\sf{ 3225 = 43 \times 8 \times x }} \\ \\ \\ \colon\implies{\sf{ \cancel{ \dfrac{3225}{43 \times 8 } } = x }} \\ \\ \\ \colon\implies{\sf{ x = 9.375 \ Years }}$

Hence,

$\\ {\underline{\sf{ The \ time \ taken \ in \ transaction \ will \ be \ 9.375 \ Years. }}}$