Solution:

Given,
Principal amount = Rs 10000
Withdrawn amount after 2 years = Rs 4000
Amount received after 5 years = Rs 79000

Let the rate of interest be x%.

Calculation of Interest:

Interest for 2 years = (10000 * x * 2) / 100 = 200x

Amount after 2 years = 10000 + 200x - 4000 = 10000 + 200x - 4000 = 6000 + 200x

Interest for 3 years = (6000 + 200x) * (x * 3) / 100 = 540x + 180x^2

Total amount after 5 years = 6000 + 200x + 540x + 180x^2 = 79000

Simplifying the above equation, we get:

180x^2 + 740x - 73000 = 0

Solving the above quadratic equation, we get:

x = 10%

Therefore, the rate of simple interest is 10%.

Explanation:

Simple interest is calculated as a percentage of the principal amount for a certain period of time. In this question, the person deposited Rs 10000 in a bank for 2 years. After 2 years, he withdrew Rs 4000 from the account. This means that the remaining balance in the account is Rs 6000.

Then, the person left the remaining balance in the account for another 3 years. At the end of 5 years, he received Rs 79000. We can use the formula for simple interest to calculate the rate of interest.

We know that the interest for the first 2 years is 200x. The remaining balance after 2 years is Rs 6000 + 200x. The interest for the next 3 years is (Rs 6000 + 200x) * (x * 3) / 100.

Adding up the interest for 2 years and 3 years, we get the total amount after 5 years. We can simplify this equation and solve for x to get the rate of interest, which is 10%.

The total amount received is 7,900(correction)
and the rate is 5%p.a|