find the principal. annual rate of interest = 6.5% period = 4 years total interest = 1222 rupees principal =…

Explanation:

Step1: Recall simple - interest formula

The simple - interest formula is $I = P\times r\times t$, where $I$ is the interest, $P$ is the principal, $r$ is the annual interest rate (in decimal form), and $t$ is the time in years. We need to solve for $P$, so we can rewrite the formula as $P=\frac{I}{r\times t}$.

Step2: Convert the interest rate to decimal

The annual interest rate $r = 6.5%=0.065$. The time $t = 4$ years and the interest $I = 1222$ rupees.

Step3: Substitute values into the formula

Substitute $I = 1222$, $r = 0.065$, and $t = 4$ into the formula $P=\frac{I}{r\times t}$. So $P=\frac{1222}{0.065\times4}$.

Step4: Calculate the principal

First, calculate $0.065\times4 = 0.26$. Then, $P=\frac{1222}{0.26}=4700$.

Answer:

4700