Math, asked by SMRUTIMAYI, 1 month ago

find the principal and simple interest for rate of interest 3.5 % p.a. and time 2 yrs and amount ₹535
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Answers

Answered by llCuteChorill
2

Step-by-step explanation:

SI = prt/100

SI = (535×2×3.5)/100

SI = 37.45 rupees

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Answered by TwilightShine
9

Answer :-

  • The principal = Rs 500.
  • The simple interest = Rs 535.

To find :-

  • The principal and simple interest.

Step-by-step explanation :-

  • Let's find the principal and simple interest!

We know that :-

\underline{\boxed{ \sf SI = Amount - Principal}}

Where,

  • SI = Simple Interest.

Here,

  • Amount = Rs 535.

Let :-

  • The principal be Rs "p".

Therefore,

\longrightarrow \bf SI = Rs \: 535 - p

-----------------------------------------------------------

  • Now, let's find the simple interest!

We know that :-

\underline{\boxed{\sf SI = \dfrac{Principal \times Rate \times Time}{100}}}

Where,

  • SI = Simple Interest.

Here,

  • Simple interest = Rs 535 - p.
  • Rate = 3.5% p.a.
  • Time = 2 yrs.

Substituting the given values in this formula,

: \longmapsto \tt 535 - p = \dfrac{p \times 3.5 \times 2}{100}

\tt : \longmapsto 535 - p = \dfrac{p \times 7}{100}

\tt : \longmapsto 535 - p = \dfrac{7p}{100}

\tt : \longmapsto 535 = \dfrac{7p}{100} + p

\tt : \longmapsto 535 = \dfrac{7p \times 1 + p \times 100}{100}

\tt : \longmapsto 535 = \dfrac{7p + 100p}{100}

\tt : \longmapsto 535 = \dfrac{107p}{100}

\tt : \longmapsto 535 \times 100 = 107p

\tt : \longmapsto 53500 = 107p

\tt : \longmapsto \dfrac{53500}{107} = p

\tt : \longmapsto Rs \: 500 = p

 \\

Hence :-

\rm Principal = p = Rs \: 500.

\rm SI = 535 - p = 535 - 500 = Rs \: 35.

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