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1. Calculate the compound interest on 6000 at 10% per annum for two years.​

Answer»

Given:-

  • Principal = ₹6000
  • Rate = 10% PER annum
  • Time = 2 years

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To Find:-

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FORMULA Used:-

▪︎\tt{<klux>AMOUNT</klux> = Principal× {(1+ \frac{Rate}{100})}^{time}}

\tt{▪︎Compound\ Interest = Amount- Principal}

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Solution:-

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Finding Amount

\tt{Amount = Principal×{(1+ \frac{Rate}{100})}^{time}}

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Putting given values in formula:-

\tt{Amount = 6000 × {(1+ \frac{1\not0}{10\not{0}})}^{2}}

\tt{= 6000 × {(1 + \frac{1}{10})}^{2}}

\tt{= 6000 × {(1+0.1)}^{2}}

\tt{= 6000 × {1.1}^{2}}

\tt{=6000 × 1.21}

\tt{= ₹7260}

\boxed{\bf{\purple{\therefore Amount = ₹7260}}}

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Finding Compound Interest

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\tt{Compound\ Interest = Amount- Principal}

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Putting given VALUE in formula:-

\tt{Compound\ Interest = 7260 - 6000}

\tt{Compound\ Interest = ₹1260}

\boxed{\bf{\purple{\therefore Compound\ Interest= ₹1260}}}

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Answer:-

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  • Compound Interest on the principal 600 at the rate of 10% in 2 years is ₹1260.

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