Question

A certain sum amounts to 3750 at 25/2%per annual at SI in 4 years find the sum

Answer 1

$\begin{lgathered}\red{\bf{Given}}\begin{cases}\underline{\footnotesize\sf{\star\:simple\:\:Yearly}}\\\sf{Principal=?}\\\sf{Rate= \frac{25}{2}\%\:p.a}\\\sf{Time=4\:yr.}\\ \sf{amount=rs.3750} \end{cases}\end{lgathered}$

$\Large\bold\star\underline{\underline\textbf{Formula\:used}}$

$\boxed{\bf \: SI = \green{\dfrac{Principal*Rate*Time}{100}}} \\ \\ \blue{\boxed{\bf \: Amount = Principal + SI}}$

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Let Principal is P.

Putting values we get,,

$\red\leadsto \sf P + \dfrac{P \times 25 \times 4}{2 \times 100} = 3750 \\ \\ \red\leadsto \sf P + \frac{P}{2} = 3750 \\ \\ \red\leadsto \sf \dfrac{3P}{2} = 3750 \\ \\ \red\leadsto \sf \: P = \frac{3750 \times 2}{3} \\ \\ \red\leadsto \: \huge\red{\boxed{\tt\blue{P}\purple{=} \green {Rs} \orange,\pink{2500}}}$

Hence, value of Principal was Rs.2500....

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