find the annual rate of interest.\nprincipal = 4600 rupees\nperiod = 5 years\ntotal amount = 6440…

Explanation:

Step1: Calculate the simple - interest

The formula for simple interest $I=A - P$, where $A$ is the total amount and $P$ is the principal. $I = 6440 - 4600=1840$

Step2: Use the simple - interest formula to find the rate

The simple - interest formula is $I = P\times r\times t$, where $r$ is the rate of interest and $t$ is the time in years. We know $I = 1840$, $P = 4600$, and $t = 5$. Substitute these values into the formula: $1840=4600\times r\times5$. First, simplify the right - hand side: $4600\times5\times r = 23000r$. Then solve for $r$: $r=\frac{1840}{23000}=0.08$

Step3: Convert the rate to a percentage

To convert a decimal to a percentage, multiply by 100. $r = 0.08\times100 = 8%$

Answer:

$8$