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  1. If the simple interest for 6 years be equal to 30% of the principal, it will be equal to the principal after
    1. 20 years
    2. 30 years
    3. 10 years
    4. 22 years
Correct Option: A

Let the principal be P and rate of interest be r %
According to the question,

30P
=
P × 6 × R
100100

⇒ 30 = 6 R
⇒ R = 5
Now, let interest be equal to principal in T years.
∴ P =
P × T × 5
100

⇒ T =
100
= 20 Years.
5

Second method to solve this question :
Here , n =
30
=
3
, T = 6 Years.
10010

⇒ RT = n × 100
R × 6 =
3
× 100
10

R = 5%
As, S.I. = P
⇒ SI =
P × T × R
100

100 = RT
100 = 5 × T
This is possible only when T = 20.



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