Question

calculate the Amount and Compound interest on Rs 12,600 for 2 years at 10 per annum? Compounded annualy​ pls step by step

Answer 1

Answer:

Step-by-step explanation:

Principal = 12600

Time = 2 years

Rate = 10 pa

Amount = 12600(1 + 10/100)^2 =  15246

Amount after 2 years = 15246

Interest = Amount - Principal

             = 15246 - 12600

             = 2646

Coumpund interest is 2646 ruppees

Mark brialliant

Answer 2

★ Given:-        

• ➻ Principal = Rs. 12,600
• ➻ Time = 2 years
• ➻ Rate of interest = 10%

★ To find:-        

• ➻ Compound interest
• ➻ The Amount

★ Solution:-          

Here, we have given that the principal is Rs. 12,600 for 2 years and rate of interest is 10%.

So, firstly we will find out the amount by using the formula and substituting the given values.

• $\large\boxed{\tt{Amount\:=\:P\:\left\{1\:+\left(\dfrac{Rate}{100}\right)\right\}^{n}}}$

Where,

• Principal = P
• Rate of interest = r
• Time = n

                       _________________

Calculating the amount:

$\qquad\tt{:\implies\:Amount\:=\:P\:\left\{1\:+\left(\dfrac{Rate}{100}\right)\right\}^{n}}$

$\qquad\tt{:\implies\:Amount\:=\:12600\:\left\{1\:+\left(\dfrac{10}{100}\right)\right\}^{2}}$

$\qquad\tt{:\implies\:Amount\:=\:12600\:\left\{1\:+\dfrac{1}{10}\right\}^{2}}$

$\qquad\tt{:\implies\:Amount\:=\:12600\:\left\{\:\dfrac{1}{1}\:+\dfrac{1}{10}\right\}^{2}}$

$\qquad\tt{:\implies\:Amount\:=\:12600\:\left\{\:\dfrac{10\:+\:1}{10}\:\right\}^{2}}$

$\qquad\tt{:\implies\:Amount\:=\:12600\:\left\{\:\dfrac{11}{10}\:\right\}^{2}}$

$\qquad\tt{:\implies\:Amount\:=\:12600\:\left\{\:\dfrac{121}{100}\:\right\}}$

$\qquad\tt{:\implies\:Amount\:=\:12600\:\times\:\dfrac{121}{100}}$

$\qquad\tt{:\implies\:Amount\:=\:126\:\times\:\dfrac{121}{1}}$

$\qquad\tt{:\implies\:Amount\:=\:126\:\times\:121}$

$\qquad\tt{:\implies\:Amount\:=\:Rs.\:15246}$

. ° . The amount after 2 years is Rs. 15246.

                        ____________

Calculating the compound interest:

$\qquad\tt{:\implies\:Compound\:interest\:=\:Amount\:-\:Principal}$

$\qquad\tt{:\implies\:Compound\:interest\:=\:15246\:-\:12600}$

$\qquad\tt{:\implies\:Compound\:interest\:=\:2646}$

. ° . The Compound interest is Rs. 2646.

                               ___________

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