Question

solution of the ammount on Rs.3200 for 2years at 5% per annum compounded annually​

Answer 1

Answer:

The compound interest on 3200 Rupees at 2.5 % per annum for 2 years compounded annually is Rs. 162

Answer 2

Given ,

Principal = ₹3200.

Rate = 5% .

Time = 2 years.

To Find :-

Amount and Compound Interest.

Formula :-

$A = P {{[1 + \dfrac{r}{100}]}^n}$

On Inserting the value in the formula

We get

$A = 3200 {{[1 + \dfrac{5}{100}]}^2}$

$A = 3200{{[\dfrac{100+5}{100}]}^2}$

$A = 3200 {{[\dfrac{105}{100}]}^2}$

$A = {\dfrac{3200 \times 105 \times 105}{100 \times 100}}$

Therefore, A = ₹3528.

CI = Amount - Principal

= ₹3528 - ₹3200

= ₹328.

Therefore, CI = ₹328

Short-hands Used :-

P = Principal.

R = Rate.

T = Time.

A = Amount.

CI = Compound Interest.

$\bf{ \underline{Some Formulae}} \\ \\ \rightarrow \quad \sf P = \dfrac{100 \times S.I}{R \times T} \\ \\ \\ \rightarrow \quad T = \dfrac{100 \times S.I}{P \times R} \\ \\ \\ \rightarrow \quad R = \dfrac{100 \times S.I}{P \times T} \\ \\ \\ \rightarrow \quad A = P + S.I \\ \\ \\ \rightarrow \quad S.I = \dfrac{P \times R \times T}{100}$