Question

find the difference between simple intrest and compound intrest on rupees 2500 in 4 years at 4%p.a ​

Answer 1

I hope it will be answer of your question .

Answer 2

AnswEr :

• Principal = Rs. 2500
• Rate = 4% p.a.
• Time = 4 Years

⠀

$\longrightarrow\mathsf{Difference = CI - SI}$

$\longrightarrow\mathsf{Diff. = \bigg[P \bigg(1 + \dfrac{r}{100} \bigg)^{t} - 1 \bigg] - \bigg( \dfrac{PRT}{100} \bigg)}$

$\longrightarrow\mathsf{Diff. = \bigg[2500 \times \bigg(1 + \dfrac{4}{100} \bigg)^{4} - 1 \bigg] - \bigg( \dfrac{2500 \times 4 \times 4}{100} \bigg)}$

$\longrightarrow\mathsf{Diff. = \bigg[2500 \times \bigg(1 + \dfrac{1}{25} \bigg)^{4} - 1 \bigg] - \bigg( {25\times 4 \times 4} \bigg)}$

$\longrightarrow\mathsf{Diff. = \bigg[2500 \times \bigg( \dfrac{26}{25} \bigg)^{4} - 1 \bigg] - \bigg( {25\times 4 \times 4} \bigg)}$

$\longrightarrow\mathsf{Diff. = \bigg[2500 \times \bigg( \dfrac{456,976}{390,625} - 1 \bigg) \bigg] - \bigg( {400} \bigg)}$

$\longrightarrow\mathsf{Diff. = \bigg[2500 \times \dfrac{66,351}{390,625} \bigg] - 400}$

$\longrightarrow\mathsf{Diff. =Rs.(424.6464 - 400)}$

$\longrightarrow \boxed{\mathsf{Diff. =Rs. \: 24.6464}}$

⠀

$\therefore$ Difference Between Compound Interest and Simple Interest is Rs. 25 ( Approx )