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Find the simple interest rate at which a sum of money becomes five times at simple interest in 10 years.A. 40%B. 35%C. 25%D. 50%1. B2. D3. A4. C |
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Answer» Correct Answer - Option 3 : A Given: Time period = 10 years Formula used: \(\rm S.I = \frac{{{\rm{P\;}} × {\rm{\;t\;}} × {\rm{\;r}}}}{100}\) P = principal t = Time period r = Rate of interest Calculation: Let P be Rs. x According to the question, According to the question money becomes 5x So, interest = 5x – x = 4x \(\rm 4x = \frac{{{\rm{x\;}} × {\rm{\;10\;}} × {\rm{\;r}}}}{100}\) ⇒ 400x = 10xr ⇒ 40 = r ⇒ Rate of interest = 40% ∴ Required rate of interest is 40% |
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