Question

find p,if sl= 325.75;t =3 years and r= 8.5​

Answer 1

$\large\sf\underline{Given\::}$

• Simple Interest ( SI ) = Rs 325.75

• Time ( t ) = 3 yrs

• Rate ( r ) = 8.5 %

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$\large\sf\underline{To\:find\::}$

• Principal = ??

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$\large\sf\underline{Solution\::}$

We know ,

$\large{\underline{\boxed{\mathrm\green{Principal\:=\:\frac{Simple\:interest\: \times 100}{Rate \times T}}}}}$

• Substituting the given values in the formula

$\sf\implies\:Principal\:=\:\frac{325.75 \times 100}{8.5 \times 3}$

$\sf\implies\:Principal\:=\:\frac{32575 \times 100 \times 10}{85 \times 3 \times 100}$

$\sf\implies\:Principal\:=\:\frac{32575000}{255 \times 100}$

$\sf\implies\:Principal\:=\:\frac{32575000}{25500}$

$\sf\implies\:Principal\:=\:\frac{325750\cancel{00}}{255\cancel{00}}$

$\sf\implies\:Principal\:=\:\frac{325750}{255}$

$\sf\implies\:Principal\:=\:\cancel{\frac{325750}{255}}$

$\sf\implies\:Principal\:=\:\frac{65150}{51}$

$\large{\mathfrak\orange{\implies\:Principal\:=\:Rs\:1277.45}}$

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⠀⠀‎⠀⠀${\sf{{\purple{Some\:more\:formula\::}}}}$‎

• $\sf\:SI=\frac{P \times R \times T}{100}$

• $\sf\:R=\frac{SI \times 100}{P \times T}$

• $\sf\:T=\frac{SI \times 100}{P \times R}$

⠀‎⠀⠀In all these formula

• P = Principal

• SI = Simple Interest

• R = Rate

• T = Time

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!! Hope it helps !!