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In how much time will a sum of money double itself at a rate of simple interest of 5% per annum?
Question

In how much time will a sum of money double itself at a rate of simple interest of 5% per annum?

A.

12 years

B.

10 years

C.

20 years

D.

18 years

Correct option is C

Given:

Amount becomes double

Rate of interest = 5%

Formula Used:

SI=P×R×T100SI = \frac{P\times R\times T}{100}​​

Amount = Principle + Interest

Solution:

Amount =2×Principle2 \times Principle

2P = P+SI

SI = P

SI=P×R×T100SI = \frac{P\times R\times T}{100}​​

P=P×5×T100P = \frac{P\times 5\times T}{100}​​

T=P×100P×5T = \frac{P\times 100}{P \times 5 }​​

T = 20 years

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