Math, asked by Swathi2007, 11 months ago

ANSWER THE ABOVE QUESTION ASAP...​

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Answers

Answered by Anonymous
18

\Large\underline{\underline{\sf \green{Given}:}}

  • Principal (P) = Rs.30000

  • Rate (R) = 7%

  • Compound Interest (CI) = Rs.4347

\Large\underline{\underline{\sf \green{To\:Find}:}}

  • Time Period (T) = ?

\Large\underline{\underline{\sf \green{Formula\:Used}:}}

{\boxed{\sf \red{Compound\: Interest=Amount-Principal}}}

{\boxed{\sf \red{A=P\left(1+\dfrac{R}{100}\right)^n}}}

\Large\underline{\underline{\sf \green{Solution}:}}

Compound Interest = Amount - Principle

Amount = 4347 + 30000

Amount (A) = Rs.34347

\implies{\sf 34347=30000\left(1+\dfrac{7}{100}\right)^n-1 }

\implies{\sf \dfrac{34347+30000}{30000}=\left(\dfrac{107}{100}\right)^n}

\implies{\sf \dfrac{11449}{10000}=\left(\dfrac{107}{100}\right)^n }

\implies{\sf \dfrac{(107)^2}{(100)^2}=\left(\dfrac{107}{100}\right)^n }

\implies{\sf \left(\dfrac{107}{100}\right)^2=\left(\dfrac{107}{100}\right)^n}

\implies{\sf n=2 \:years}

\Large\underline{\underline{\sf \green{Answer}:}}

⛬ Time period will be 2 years.

Answered by Siddharta7
2

Answer:

2 years

Step-by-step explanation:

Compound interest on Rs. 30,000 at 7% per annum is Rs. 4347

A = P(1 + r/100)^n

=> 30000 + 4347 = 30000(1 + 7/100)^n

=> 34347 = 30000(107/100)^n

=> 34347/30000 = (107/100)^n

=> 11449/10000 = (107/100)^n

=> (107/100)^2 = (107/100)^n

=> n = 2

Therefore, time = 2 years.

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