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Simple interest on a certain sum for 6 years is 9/25 of the sum. The rate of interest is

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Simple interest on a certain sum for 6 years is 9/25 of the sum. The rate of interest is
  • A6%
  • B\(6\frac{1}{2}\%\)
  • C8%
  • D\(8\frac{1}{2}\%\)
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CCommunity
SI = (P × R × t)/100

SI = Simple interest

P = Principal

R = rate %

t = time in years

Given, Simple interest on a certain sum for 6 years is $(\frac{9}{{25}})$ of the sum

∴ SI = 9P/25

t = 6 years

R =?

$(\Rightarrow \frac{{9P}}{{25}} = \frac{{P \times 6 \times R}}{{100}})$

⇒ R = 900/150 = 6%