At r% per annum a sum doubles after 20 years. The rate of interest per annum is :

At r% per annum a sum doubles after 20 years. The rate of interest per annum is :
Posted on 15-04-2023

Ques - At r% per annum a sum doubles after 20 years. The rate of interest per annum is :

(a) 4%

(b) 5%

(c) 8%

(d) 10%

Solution - 

Given,

Principal = P

Amount = 2P (double itself)

S.I = Amount - Principal

S.I = 2P - P

S.I = P

R = r

T = 20

S.I = (P×R×T) / 100

P = (P × r × 20) / 100

R = 100 / 20

R = 5

Therefore,

The rate of interest per annum is 5%

Hence,

The correct answer is option (b) 5%.

Thank You