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A principal invested at simple interest amounts to by 600% in 20 years. What will be the compound interest of Rs.500000 after 2 years at the same rate
Question



A principal invested at simple interest amounts to by 600% in 20 years. What will be the compound interest of Rs.500000 after 2 years at the same rate of interst?

A.

Rs.2,81,250

B.

Rs.1,40,625

C.

Rs.2,812.50

D.

Rs.5,62,500

Correct option is A


The principal amounts to 600% of itself. This means the interest earned is 600% - 100% = 500% of the principal.
Let the principal be P.
Simple interest (SI) = 500% of P = 5P.
SI = (P x R x T) / 100
5P = (P x R x 20) / 100
5 = (R x 20) / 100
500 = 20R
R = 500 / 20 = 25%
So, the simple interest rate is 25% per annum.
Principal (P) = Rs. 500,000
Rate (R) = 25%
Time (T) = 2 years
We can use the compound interest formula:

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