Question

at what rate of simple interest will a deposit earn interest equal to two-fifths of the deposit in 3 years​

Answer 1

Answer:

Step-by-step explanation:

Let, principal is  x

SI = 2x/5

Now 2x/5=x×R×3/100

Or,2=3R/20

Or,R= 40/3=13.3

rate of simple interest will 13.3

Answer 2

Let, the the principal is $P$

Simple interest equal to two-fifth of the deposit $= \frac{2}{4}P$

Here, we have to find the value of rate

So, let assume rate be $R$

Time period  $=3$ years

Formula,

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

Substitute given values in the above formula,

$\frac{2}{5}P= \frac{P\times R\times3}{100}$

$\frac{2}{5}= \frac{R\times 3}{100}$

$R=\frac{2\times100}{3\times5}$

$R= \frac{40}{3}$

$R= 13.333$

Therefore, the rate is $13.333$.