Question

Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?

Answer 1

let P be principal

A = P [ 1 + R/100]^N

here , R = 5

N = 2


A = 441


P = ?

441 = P [ 1 + 1/20]^2

441 = P [ 1 + 5/100]^2

441 = P [ 1 + 1/20]^2

441 = P [ 21/20]^2

441 = P × 21/20 × 21/20

P = 441 × 20 × 20 /21 × 21

P = 400 rs

Answer 2

Answer:

400 is the sum of money.

Step-by-step explanation:

CI = P(1 + r/100)ⁿ-p

CI = P(1 + r/100)ⁿ-p CI=A-p Where CI is compound interest, P is principal, r is interest rate, n is time

Here r is 5% , time is 2 years, Amount is 441

441=P(1+5/100)²

So, 441 = p(1+‌1⁄20‌)²

441= p(‌21⁄20‌)(‌21⁄20‌)

So,p= 441 x‌20⁄21‌ x‌20⁄21‌

After calculation we get

p = 20x20= 400

This a maths of Compound interest.

Compound interest makes rate of money more faster.

It is not always immediately apparent.