Question

at what rate percent per annum will 1600 amount to rupees 2832 in 5 whole 1 / 2 years​

Answer 1

Answer:

The rate of interest is 14%.

Step-by-step explanation:

We know the formula $A=P+S.I$,

$S.I = \frac{PRT}{100}$.

Here it is given,

$A=2832$

$P=1600$

$T=5\frac{1}{2}=\frac{11}{2}$years

R=?

$2832=1600+\frac{1600\times R\times \frac{11}{2} }{100}$

$2832-1600=16\times R\times \frac{11}{2}$

$\Rightarrow R=\frac{1232\times 2}{16\times 11}$

$R=14$%.

Answer 2

Given,

Amount $=2832$

Principal $=1600$

Time period $= 5\frac{1}{2}$ years

We have to find the rate of simple interest

Formula,

Amount $=$Principal $+$ simple interest

Here, we have principal and total amount

Simple interest $= \frac{PTR}{100}$

Time $= 5\frac{1}{2}$

$=\frac{11}{2}$ years

Let, rate be $R$

Substitute the given values in the above equations,

$2832=1600+\frac{1600\times R \times11 }{100\times2}$

$2832-1600=\frac{1600\times R\times 11}{200}$

$1232$  $= 88 R$

$R=\frac{1232}{88}$

$R= 14$

Therefore, the rate percent per annum is $14$%.