Question

Find the time when 1. principal is equal to rupees 300 simple interest is equal to rupees 6.75 and rate is equal to 4 1/2 p.a .2. principalprincipal is equal to rupees 4000 simple interest is equal to rupees 250 and rate is equal to 5% p.a.​

Answer 1

⠀⠀⠀${ \huge{\bf{ \underline{ \purple{QUESTION}} }}}</p><p>$

Find the time when 1. principal is equal to rupees 300 simple interest is equal to rupees 6.75 and rate is equal to 4 1/2 p.a .2. principalprincipal is equal to rupees 4000 simple interest is equal to rupees 250 and rate is equal to 5% p.a.

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⠀⠀⠀⠀⠀⠀$\huge{ \underline{ \blue{ \bold{ \underline{ \bf{AnSweR }}}}}}$

⠀⠀⠀⠀⠀$\bf\:\underbrace{\:\:\:1st\: Condition\:\:\:}$

$\bf{Given}\begin{cases}\textsf{principal=300}\\\textsf{Simple\: interest=6.75}\\\textsf{Rate = 20.5\%}\\\end{cases}$

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⠀⠀$\large\underline{ \underline{ \blue{ \bold {To \:Find}}}}$

we have to find Time.

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⠀⠀⠀⠀⠀➩$\huge\underline{ \underline{ \green{ \bold{solution}}}}$

⠀⠀${\underline{\boxed{\bf{\red{Simple\: Interest=(\frac{P×R×T}{100})}}}}}$

⠀⠀⠀➩$\bf\:6.75=\frac{300×20.5×T}{100}$

⠀⠀⠀➩$\bf\:Time=\frac{1}{9}years$

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⠀⠀⠀⠀⠀$\bf\:\underbrace{\:\:\:2nd\: Condition\:\:\:}$

⠀⠀⠀$\bf{Given}\begin{cases}\textsf{principal=4000}\\\textsf{Simple\: interest=250}\\\textsf{Rate = 5\%}\\\end{cases}$

⠀⠀⠀⠀⠀$\huge\underline{ \underline{ \green{ \bold{solution}}}}$

⠀⠀⠀➩$\bf\:250=\frac{4000×5×T}{100}$

⠀⠀⠀⠀⠀$\bf\:\frac{25000}{20000}=T$

⠀⠀⠀➩$\bf\:Time=\frac{5}{4}years$

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