Question

✨ 40 Points Question

Compound Interest at the Rate of 4% on any Principal in 2 Yrs is Rs.102.
Find the Simple Interest on the Same Amount for the 2 Yrs at 4% p.a.​

Answer 1

Answer:

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Answer 2

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$\green{\large{ \underline{\mathcal{\star \:Given : }}}}$

• Principal = Same

• Rate = 4% p.a.

• Time = 2 Yrs

• Compound Interest = Rs.102

$\green{\large{ \underline{\mathcal{\star \: To \: Find : }}}}$

• Simple Interest on the Same Principal at Same Rate for Same Time

$\green{\large{ \underline{\mathcal{\star \: Solution : }}}}$

$\large\boxed{\blacksquare~ \bold{For~2~Yrs}}$

$\huge \rightarrow \tt{ \frac{CI}{SI} = 1 + \frac{r}{200} }$

$\huge \rightarrow \tt{ \frac{102}{SI} = 1 + \frac{4}{200} }$

$\huge \rightarrow \tt{ \frac{102}{SI} = 1 + \frac{1}{50} }$

$\huge \rightarrow \tt{ \frac{102}{SI} = \frac{51}{50} }$

$\huge \rightarrow \tt{SI = \frac{(102 \times 50)}{51} }$

$\huge \rightarrow \tt{SI = 2 \times 50}$

$\purple{\huge \rightarrow \boxed {\tt{SI = 100}}}$

$\huge{\red{\ddot{\smile}}}$