Question

The interest earned on Rs. 15000 in 3 years at simple interest is Rs. 5400. Find the rate percent pee annum?​

Answer 1

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Principle = Rs. 15000
• Simple Interest = Rs. 5400
• Time = 3years

______________________

$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Rate = ??

______________________

$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

$\sf{\red{\boxed{\bold{Simple\:Interest = \dfrac{P\times R\times T}{100}}}}}$

⠀⠀⠀⠀

$\sf: \implies\: {\bold{ 5400 = \dfrac{ 15000\times Rate \times 3}{100}}}$

⠀⠀⠀⠀

$\sf: \implies\: {\bold{ 5400 = \dfrac{ 150\cancel{00}\times Rate \times 3}{1\cancel{00}}}}$

⠀⠀⠀⠀

$\sf: \implies\: {\bold{ 5400 = 150\times Rate \times 3}}$

⠀⠀⠀⠀

$\sf: \implies\: {\bold{ \dfrac{ 5400}{ 3\times 150 } = Rate }}$

⠀⠀⠀⠀

$\sf: \implies\: {\bold{ \dfrac{ 540}{ 3\times 15 } = Rate }}$

⠀⠀⠀⠀

$\sf: \implies\: {\bold{ \dfrac{ 180}{ 15 } = Rate }}$

⠀⠀⠀⠀

$\sf: \implies\: {\bold{ Rate = \dfrac{ 60 }{ 5 } }}$

⠀⠀⠀⠀

$\sf: \implies\: {\bold{ Rate = 12\% }}$

⠀⠀⠀⠀

⠀⠀⠀⠀

⠀⠀⠀⠀

______________________

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Rs.15000 will amount Rs.5400 as Simple Interest in 3 years with rate as 12% per annum .