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  1. A sum of money at a certain rate per annum of simple interest doubles in the 5 years and at a different rate becomes three times in 12 years. The lower rate of interest per annum is
    1. 15%
    2. 20%
    3. 15
      3
      %
      4
    4. 16
      2
      %
      3
Correct Option: D

The sum gets doubled in 5 years and tripled in 12 years.
Clearly rate of interest for 12 years will be lower.
Let Principal be p.

Then, Rate =
SI × 100
Principal × Time

Rate =
2p × 100
p × 12

Rate =
50
3

Rate = 16
2
%
3

Second method to solve this question :
R1 =
(2 - 1)
× 100% = 20%
5

R2 =
(3 - 1)
× 100%
12

R2 = 16
2
%
3

⇒ Lower rate of interest = 16
2
%
3



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