Question

principal=9600,rate=8%,time=3 months, interest=?,amount=?​

Answer 1

$\huge\rm\underline\purple{Solution :-}$

$\sf Given\begin{cases} &\sf{Principal\; =\be{9600}}\\&\sf{Rate\; =\bf{8%}}\end{cases}\\&\sf{Time\;=\bf{3\:months=3/12}}\end{cases}$

$\boxed{ \sf \red{ To\: find, }}$

• Interest = ❓
• Amount = ❓

✏ To find simple Interest :

✏ We use the formula,

$\boxed{ \sf \green{ Simple\: interest= \frac{P×R×T}{100}}}$

Where,

$\blue{\underline\bold{P=\: principal}}$

$\orange{\underline\bold{R= \:rate}}$

$\pink{\underline\bold{T=\: time}}$

$\purple{\underline\bold{Now,}}$

⇒Simple Interest = $\frac{9600×8×3}{100×12}$

⇒Simple Interest = 192

$\blue{\underline\bold{Again,\:we\:know:}}$

$\boxed{ \sf \green{ Amount=\:principal\:+simple\:interest}}$

⇒Amount = 9600 + 192

⇒Amount = 9792

$\pink{\underline\bold{ ∴ \:Simple\:interest=\:192\:and\:amount=\: 9792.}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Answer 2

$\large{\underbrace{\sf{\orange{required \: solution:}}}}$

$\tt {\pink{Given}}\begin{cases} \sf{\green{Principal=Rs.9600}}\\ \sf{\blue{Time=3\:months}}\\ \sf{\orange{Rate=8\%}}\\ \sf{\red{Amount=?}} \\ \sf { \purple{Intrest = ?}}\end{cases}$

$\dagger\mathbb\purple{TO \: FIND : }$

• Interest = �

• Amount = �

__________________

• Let us find intrest first:

__________________

${ \boxed {\underline{ \red{ \bf \: Intrest \: formulae : \frac{PTR}{100} }}}}$

$: \implies \sf \red{\: \frac{9600 \times 3 \times 8}{100×12} } \\ \\ : \implies \sf \purple { \: \frac{230400}{1200} } \\ \\ : \implies \sf \pink {\underline{192 }}$

${ \underline{ \bf \blue{\therefore simple \: intrest = 192}}}$

__________________

• Let us find amount now:

__________________

${ \boxed {\underline{ \red{ \bf \: amount = principal + S.I }}}}$

$: \implies \sf \orange{ \: 9600 + 192} \\ \\ : \implies \sf {\underline{\red{9792}}}$

${ \underline{ \bf \blue{\therefore amount = 9792 \: rupees }}}$

__________________