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  1. Simple interest on a certain sum at a certain annual rate of interest is 16/25 of the sum. If the number representing rate per cent and time in years be equal, then the rate of interest is
    1. 8%
    2. 11
      1
      %
      2
    3. 12
      1
      %
      2
    4. 12
      1
      %
      4
Correct Option: A

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

16P
=
P × r × r
25100

[∵ r = t numerically]
⇒ r2 =
1600
25

⇒ r = 40÷ 5 = 8%
Second method to solve this question :
Here, n =
16
, R = T
25

R × R =
16
× 100
25

R2 =
1600
25

⇒ R2 = √
1600
25

R =
40
5

R = 8%



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