On certain amount simple interest is 16/25th part of the amount taken then the time and rate of interest is ……………….. (Numerically same)
On certain amount simple interest is \(\frac{16}{25}\)th part of the amount taken then the time and rate of interest is ……………….. (Numerically same)
A) 8
B) 9
C) 10
D) 3
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Correct option is (A) 8
Let the amount taken be Rs P.
\(\therefore\) S.I. = \(\frac{16}{25}\times\) P = \(\frac{16P}{25}\)
R = T
\(\therefore\) S.I. = \(\frac{PRT}{100}\)
\(\Rightarrow\) \(\frac{16P}{25}\) = \(\frac{P\times R\times R}{100}\) \((\because\) R = T)
\(\Rightarrow\) \(R^2=\) \(\frac{16P}{25}\times\frac{100}P\) \(=16\times4=64=8^2\)
\(\Rightarrow\) R = 8
\(\Rightarrow\) T = R = 8
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