Question

✨ 20 Points Question

Compound Interest and Simple Interest of any Principal for 2 Yrs at any Rate is Rs.129 and Rs.120 Respectively.

Find the Rate Per Annum.​

Answer 1

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

• Principal = Same

• Time = 2 Yrs

• Simple Interest = Rs.120

• Compound Interest = Rs.129

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

• Find the Rate Per Annum

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

$\large{\blacksquare~ \tt{For~2~Yrs}}$

$\huge \implies \frak{ \frac{CI}{SI} = 1 + \frac{r}{200} }$

$\huge \implies \frak{ \frac{129}{120} = 1 + \frac{r}{200} }$

$\huge \implies \frak{ \frac{(129-120)}{120} = \frac{r}{200} }$

$\huge \implies \frak{ \frac{9}{200} = \frac{r}{200} }$

$\huge \implies \frak{r = \frac{(9 \times 200)}{120} }$

$\huge \implies \frak{r = 5 \times 3}$

$\purple{\huge \implies \boxed {\frak{r = 15 p.a.}}}$

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