Math, asked by sagarismart111, 13 hours ago

what sum will give Rs. 1634.00 as compound interest at 12.5% in 18 months interest being compounded half yearly.​

Answers

Answered by ramachandrahedge1946
2

Answer:

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Answered by Starrex
15

\bigstar\boxed{\large\bf\purple{\leadsto Sum=1362.23}}

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\large\sf\underline{Given: }

  • ➠ Amount ( A ) = Rs 1634
  • ➠ Rate of Interest ( R ) = 12.5 %
  • ➠ Time ( n ) = 18 months ; or 1.5 years

Let the sum be x

\large\sf\underline{ We \:know \:that:}

\underline{\boxed{\pink\sf{A = P\times \left(1+\dfrac{R}{200}\right)^{2n}}}}

\large\sf\underline{\dag Solution: }

ㅤㅤㅤㅤㅤ\sf{\longrightarrow A = P\times \left(1+\dfrac{R}{200}\right)^{2n}}

ㅤㅤㅤㅤㅤ\sf{\longrightarrow 1634 = (x)\times \left(1+\dfrac{12.5}{200}\right)^{2\times 1.5}}

ㅤㅤㅤㅤㅤ\sf{\longrightarrow 1634 = (x)\times (1+ 0.0625)^{3}}

ㅤㅤㅤㅤㅤ\sf{\longrightarrow 1634 = (x)\times (1.0625)^3}

ㅤㅤㅤㅤㅤ\sf{\longrightarrow 1634=(x)\times 1.1995}

ㅤㅤㅤㅤㅤ\sf{\longrightarrow x=\cancel{\dfrac{1634}{1.1995}}}

ㅤㅤㅤㅤㅤ\sf{\longrightarrow x= 1362.23}

\large\sf\underline{Hence,\:your\: answer\:is\:Rs.1362.23 }

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