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Find the principal, if the compound interest compounded annually at the rate of 10% perannum for three years is Rs 331

Question

Find the principal, if the compound interest compounded annually at the rate of 10% per annum for three years is Rs 331.

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Solution

To find the principal when the compound interest, rate of interest, and time period are given, we can use the formula for compound interest which is:

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

Where: A = the amount of money accumulated after n years, including interest. P = principal amount (the initial amount of money) r = annual interest rate (in decimal) n = number of times that interest is compounded per year t = time the money is invested for in years

In this case, we know that A (the total amount after 3 years) is the sum of the principal and the compound interest. So, we can write it as:

A = P + CI

We can substitute the given values into the formula:

331 = P + P(1 + 0.10/1)^(1*3)

Solving the equation will give us the value of P (the principal).

Let's simplify the equation:

331 = P + P(1.10)^3 331 = P + P(1.331) 331 = 2.331P

Now, solve for P:

P = 331 / 2.331 P = Rs 142.07

So, the principal is approximately Rs 142.07.

This problem has been solved

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