Rames h deposit an amount 9000 .after 2 years he withdraw 4000.after5years he got 7640 rs .find out the rate of interest

To find out the rate of interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where: A = Final amount after interest P = Principal amount (initial deposit) r = Annual interest rate (unknown) n = Number of times interest is compounded per year (assuming it is compounded annually) t = Number of years

Given information: P = 9000 (initial deposit) t = 5 years A = 7640 (final amount after 5 years)

Step 1: Calculate the amount after 2 years Using the formula, we can find the amount after 2 years:

9000(1 + r/1)^(1*2) = 9000(1 + r)^2

Step 2: Calculate the amount after 5 years Using the formula, we can find the amount after 5 years:

9000(1 + r/1)^(1*5) = 7640

Step 3: Solve for r Now we can solve the equation from step 2 to find the value of r:

9000(1 + r)^5 = 7640

Divide both sides by 9000:

(1 + r)^5 = 7640/9000

Take the fifth root of both sides:

1 + r = (7640/9000)^(1/5)

Subtract 1 from both sides:

r = (7640/9000)^(1/5) - 1

Now you can calculate the value of r using a calculator or by simplifying the expression further.