Question

A sum amounts to 4,410 after two years at 5% compound interest per annum. What
is the principal ?​

Answer 1

Answer:

Principal is 4000

Step-by-step explanation:

Amount ( A )  = 4410

Rate ( r )= 5%

Time ( n ) = 2 years

Principal ( P ) = ?

A = P ( 1+R/100 $)^{n}$

4410 = P ( 1 + 5 / 100 $)^{2}$

4410 = P ( 1 + 21 / 20 $)^{2}$

P =  4410 x 20/21 x 20/21

P = 4000

Answer 2

Given : A sum amounts to 4,410 after two years at 5% compound interest per annum.

To Find : principal

Solution:

principal = P

R = 5 %

n =  2 years

A = 4410

A = P(1 + R/100)ⁿ

=> 4410 = P ( 1 + 5/100)²

=> 4410 = P ( 1 + 1/20)²

=> 4410 = P (21/20)²

=> 4410 = P 441 / 400

=> 10  = P/400

=> P = 4000

principal = 4000

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