Question

Mahak took a loan of ₹24000 from a bank at 7%p.a.and lent it to Sheela for 2years at 10%p.a. Hoe much did Mahak hain?​

Answer 1

$\large\underline\bold{ANSWER \red{\huge{\checkmark}}}$

$\rm{ \red{\mathcal{mahak\:gained\::-}}}$

$\pink{\overbrace{ \underbrace{ \red{\mid\star\mid \:\: \purple{ Rs.1440 } } \:\: \red{\mid\star\mid}}}}$

$\large{ \purple{ \underbrace{ \pink{ \underline{\mathcal{explanation\:in\:details:-}}} }}}$

$\large\underline\bold{GIVEN,}$

$mahak\:took \:a\: loan\: of\: rs. 24000\: \\from\: a \:bank\: at\: 7 \%\: per\\ \:annum \:and \:lent\: it\: to\: sheela\: for \:2\: years\\ at\: 10\% \:p.a.$

$\large\underline\bold{TO\:FIND,}$

$\green{ How\: much \:did\: mahak \:gain\:}$

$\bf{ \mathcal{ \underline{\orange{FINDING\: \:USING,}}}} \\ \\ \rm{ \boxed{ \underline{ \red{ simple\: interest(I)= \dfrac{ P\times R \times T }{100}}}}}$

$\large\underline\bold{SOLUTION,}$

$\circ \:\red{finding\:simple\:interest\:for \:mahak} \\ \\ \dashrightarrow Rate \: of \: the \: Interest (R) = 7\% \:per \: annum \\ \dashrightarrow principal(p)= 24000\\ \dashrightarrow time(t)= 2years. \\ \\ \therefore simple\: interest(I)= \dfrac{ P\times R \times T }{100} \\ \\ \mid\implies \dfrac{ 24000\times 7\times 2 }{100} \\ \\ \mid\implies \dfrac{ 240 \cancel{00}\times 14}{\cancel{100}} \\ \\ \mid\implies 240\times 14 \\ \\ \mid\implies 3360 \\ \\ \rm{ \underline{ \blue{ \boxed{ mahak's\:interest= Rs.3360\:}}}}$

$\circ\: \red{finding\:simple\:interest\:for \:sheela } \\ \\ \dashrightarrow Rate \: of \: the \: Interest (R) = 10\% \:per \: annum \\ \dashrightarrow principal(p)= 24000\\ \dashrightarrow time(t)= 2years. \\ \\ \therefore simple\: interest(I)= \dfrac{ P\times R \times T }{100} \\ \\ \\ \mid\implies\dfrac{ 24000\times 10 \times 2 }{100} \\ \\ \mid\implies\dfrac{ 240\cancel{00}\times 10 \times 2 }{\cancel{100}} \\ \\ \mid\implies 240 \times 20 \\ \\ \mid\implies 4800 \\ \\ \rm{ \underline{ \blue{ \boxed{ sheela's\:interest= Rs.4800\:}}}}$

$\red{\underline{ Now \:finding }} \:\blue{ how\:much\:did\:mahak\:gain} \\ \\ \therefore for\: finding \:how\:much\:mahak\:gained,\: \\ subtract\: interest\:of \:mahak\:from \:interest\:of\:sheela \\ \\ \therefore sheela's \:interest - mahak's\:interest \\ \\ \mid\implies 4800 -3360 \\ \\ \mid\implies 1440 \\ \\ \rm{\red{\overbrace{ \underbrace{ \blue{\mid\star\mid \:\: \purple{ mahak\:gained\: Rs.1440 } } \:\: \red{\mid\star\mid}}}}}\\ \\ \\\bf{ \bold{\red{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}$

Answer 2

ANSWER✓

\rm{ \red{\mathcal{mahak\:gained\::-}}}mahakgained:−

\begin{gathered}\pink{\overbrace{ \underbrace{ \red{\mid\star\mid \:\: \purple{ Rs.1440 } } \:\: \red{\mid\star\mid}}}}\\ \\ \\ \end{gathered}

∣⋆∣Rs.1440∣⋆∣

\begin{gathered}\large{ \purple{ \underbrace{ \pink{ \underline{\mathcal{explanation\:in\:details:-}}} }}} \\ \\ \end{gathered}

explanationindetails:−

\large\underline\bold{GIVEN,}

GIVEN,

\begin{gathered}mahak\:took \:a\: loan\: of\: rs. 24000\: \\from\: a \:bank\: at\: 7 \%\: per\\ \:annum \:and \:lent\: it\: to\: sheela\: for \:2\: years\\ at\: 10\% \:p.a. \\ \\ \end{gathered}

mahaktookaloanofrs.24000

fromabankat7%per

annumandlentittosheelafor2years

at10%p.a.

\large\underline\bold{TO\:FIND,}

TOFIND,

\begin{gathered}\green{ How\: much \:did\: mahak \:gain\:} \\ \\\end{gathered}

Howmuchdidmahakgain

\begin{gathered} \bf{ \mathcal{ \underline{\orange{FINDING\: \:USING,}}}} \\ \\ \rm{ \boxed{ \underline{ \red{ simple\: interest(I)= \dfrac{ P\times R \times T }{100}}}}} \end{gathered}

FINDINGUSING,

simpleinterest(I)=

100

P×R×T

\begin{gathered}\large\underline\bold{SOLUTION,}\\ \\ \end{gathered}

SOLUTION,

\begin{gathered} \circ \:\red{finding\:simple\:interest\:for \:mahak} \\ \\ \dashrightarrow Rate \: of \: the \: Interest (R) = 7\% \:per \: annum \\ \dashrightarrow principal(p)= 24000\\ \dashrightarrow time(t)= 2years. \\ \\ \therefore simple\: interest(I)= \dfrac{ P\times R \times T }{100} \\ \\ \mid\implies \dfrac{ 24000\times 7\times 2 }{100} \\ \\ \mid\implies \dfrac{ 240 \cancel{00}\times 14}{\cancel{100}} \\ \\ \mid\implies 240\times 14 \\ \\ \mid\implies 3360 \\ \\ \rm{ \underline{ \blue{ \boxed{ mahak's\:interest= Rs.3360\:}}}} \\ \\ \end{gathered}

∘findingsimpleinterestformahak

⇢RateoftheInterest(R)=7%perannum

⇢principal(p)=24000

⇢time(t)=2years.

∴simpleinterest(I)=

100

P×R×T

∣⟹

100

24000×7×2

∣⟹

100

240

00

×14

∣⟹240×14

∣⟹3360

mahak

′

sinterest=Rs.3360

\begin{gathered} \circ\: \red{finding\:simple\:interest\:for \:sheela } \\ \\ \dashrightarrow Rate \: of \: the \: Interest (R) = 10\% \:per \: annum \\ \dashrightarrow principal(p)= 24000\\ \dashrightarrow time(t)= 2years. \\ \\ \therefore simple\: interest(I)= \dfrac{ P\times R \times T }{100} \\ \\ \\ \mid\implies\dfrac{ 24000\times 10 \times 2 }{100} \\ \\ \mid\implies\dfrac{ 240\cancel{00}\times 10 \times 2 }{\cancel{100}} \\ \\ \mid\implies 240 \times 20 \\ \\ \mid\implies 4800 \\ \\ \rm{ \underline{ \blue{ \boxed{ sheela's\:interest= Rs.4800\:}}}} \\ \\\end{gathered}

∘findingsimpleinterestforsheela

⇢RateoftheInterest(R)=10%perannum

⇢principal(p)=24000

⇢time(t)=2years.

∴simpleinterest(I)=

100

P×R×T

∣⟹

100

24000×10×2

∣⟹

100

240

00

×10×2

∣⟹240×20

∣⟹4800

sheela

′

sinterest=Rs.4800

\begin{gathered}\red{\underline{ Now \:finding }} \:\blue{ how\:much\:did\:mahak\:gain} \\ \\ \therefore for\: finding \:how\:much\:mahak\:gained,\: \\ subtract\: interest\:of \:mahak\:from \:interest\:of\:sheela \\ \\ \therefore sheela's \:interest - mahak's\:interest \\ \\ \mid\implies 4800 -3360 \\ \\ \mid\implies 1440 \\ \\ \rm{\red{\overbrace{ \underbrace{ \blue{\mid\star\mid \:\: \purple{ mahak\:gained\: Rs.1440 } } \:\: \red{\mid\star\mid}}}}}\\ \\ \\\bf{ \bold{\red{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}} \end{gathered}

Nowfinding

howmuchdidmahakgain

∴forfindinghowmuchmahakgained,

subtractinterestofmahakfrominterestofsheela

∴sheela

′

sinterest−mahak

′

sinterest

∣⟹4800−3360

∣⟹1440

∣⋆∣mahakgainedRs.1440∣⋆∣