In what time will a sum of money double itself @ 20% per annum (p.a) simple interest?

In what time will a sum of money double itself @ 20% per annum (p.a) simple interest?
Posted on 15-04-2023

Ques - In what time will a sum of money double itself @ 20% per annum (p.a) simple interest?

(a) 10 years

(b) 5 years

(c) 2 years

(d) 4 years

Solution - 

Given,

Principal = P

Amount = 2P (double itself)

S.I = Amount - Principal

S.I = 2P - P

S.I = P

R = 20%

T = ?

S.I = (P×R×T) / 100

P = (P × 20 × T) / 100

T = 100 / 20

T = 5

Therefore,

The time is 5 years.

Hence,

The correct answer is option (b) 5 years.

Thank You