Math, asked by michaelgimmy, 5 months ago

Jaimin takes ₹. 10,000 at 12% p.a (as Rate of Interest) for 2 Years. How much Interest he has to Pay at the End of 2 Years?​

Answers

Answered by Anonymous
13

\Large{\underline{\underline{\textsf{\maltese\: {\red{Given :-}}}}}}

◉ Principal (P) = Rs 10000

◉ Rate (R) = 12% p.a. (per annum)

◉ Time (T) = 2 years

\\

\Large{\underline{\underline{\textsf{\maltese\: {\red{To Find :-}}}}}}

◉ Interest (I) = ?

\\

\Large{\underline{\underline{\textsf{\maltese\: {\red{Concept Implemented :-}}}}}}

\rm I = \dfrac{P * R* T}{100}

\\

\rm P = \dfrac{I*100}{R*T}

\\

\rm R = \dfrac{I*100}{P*T}

\\

\rm T = \dfrac{I*100}{P*R}

\\

\Large{\underline{\underline{\textsf{\maltese\: {\red{Solution :-}}}}}}

\rm I = \dfrac{P * R* T}{100}

\\

\implies \rm I = \dfrac{Rs\,10000\;*\;12\;*\;2}{100}

\\

 \implies \rm I = Rs\,2,400

\\

∴ Jaimin has to  an Interest of Rs 2400 at the end of 2 years.


Berseria: Nyc Answer, Keep Up the Good Work !! :)
Anonymous: Thanks :)
Anonymous: Is my answer correct ?
Berseria: Yea! Answer is Crct.
michaelgimmy: But, I've a Doubt.. Can we Solve this Question in Terms of "Compound Interest"?
Anonymous: Hey @michaelgimmy inorder to learn about compound interest do visit this Iink → https://brainly.in/question/32257203
Anonymous: @michaelgimmy yes you can, it'd be a little different than SI, but if it's not given whether it's CI or SI, u should go for SI
Anonymous: SI - simple interest, CI - compound interest
Anonymous: I will compute the Compound Interest soon and post it in comment section.
Anonymous: Compound Interest
A = P[1 + (r/n × 100)]^nt

Here,
➢ A = Amount

➢ P = Principal = Rs 10000

➢ r = Rate of interest = 12%

➢ n = Number of times interest applied per time period.

• For annually n = 1

➢ Time = 2 years

A = P[1 + (r/n × 100)]^nt
A = 10000[1 + (12/1 × 100)]^1× 2
A = 10000[1 + (12/100)]^2
A = 10000[1 + 0.12]^2
A = 10000(1.12)^2
A = 10000 × 1.12 × 1.12
A = Rs 12,544

CI = A - P
CI = Rs 12544 - Rs 10000
CI = Rs 2,544
Answered by thebrainlykapil
27

Question :-

  • Jaimin takes ₹. 10,000 at 12% p.a (as Rate of Interest) for 2 Years. How much Interest he has to Pay at the End of 2 Years?

 \\  \\

Given :-

  • Principal = Rs, 10,000
  • Rate = 12% p.a ( Per Annum )
  • Time = 2 years

 \\  \\

To Find :-

  • How much Interest he has to Pay at the End of 2 Years?

 \\  \\

Solution :-

 \\

 \quad {:} \longrightarrow \sf \boxed{\bf{Interest \:  =  \: \dfrac{Principal \:  \times  \: Rate \:  \times  \: Time}{100}   }} \\

 \quad {:} \longrightarrow \sf {\sf{Interest \:  =  \: \dfrac{10000 \:  \times  \: 12 \:  \times  \: 2}{100}   }} \\

 \quad {:} \longrightarrow \sf {\sf{Interest \:  =  \: \dfrac{100 \cancel{00} \:  \times  \: 12 \:  \times  \: 2}{1 \cancel{00}}   }} \\

 \quad {:} \longrightarrow \sf {\sf{Interest \:  =  \: 100 \:  \times  \: 12 \:  \times  \: 2  }} \\

 \quad {:} \longrightarrow \sf {\bf{Interest \:  =  \:2400 }} \\

━━━━━━━━━━━━━━━━━━━━━━━━━

So, Jaimin has to pay Rs, 2400 as interest at the end of 2 years.

━━━━━━━━━━━━━━━━━━━━━━━━━

More About Concept :-

 \\

Let us recall the concept of simple interest. we know that simple interest is calculated uniformly throughout the loan period on the original principal and is given by the following formula :

  • Simple interest = Principal * Rate * Time /100
  • SI = P * R * T / 100
  • Amount = Principal + Simple Interest

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Dɪʏᴀ4Rᴀᴋʜɪ: mst answer ;)
michaelgimmy: Is it Possible for you to Answer this Question in terms of "Compound Interest" (CI)?
thebrainlykapil: Yup, but then it should be written in the question then " compounded annually " ... If this word is not written then we have to find simple interest only.
thebrainlykapil: If you want to find compound interest then apply this formula = Amount = Principal ( 1+ Rate/100)²
Anonymous: u may get it here https://brainly.in/question/5639616
Anonymous: Nice Work :-)
thebrainlykapil: Here is the Solution for Compound Interest :-. ⠀Amount = 10000( 1+ 12/ 100)²
⠀Amount = 10000(112/ 100)²
Amount = 10000 × 112/ 100 × 112/100
⠀Amount = 112 × 112
⠀Amount = Rs, 12,544
thebrainlykapil: So, Compound Interest = Rs, 12,544
thebrainlykapil: compound interest = Amount - Principal. CI = 12,544 - 12000 CI = 2544
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