At what rate percent simple interest will a sum of money will amount to 5/3 of itself in 6 years 8 months?

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A sum of money becomes 8 / 5 of itself in 5 years at a certain rate of simple interest .find the rate of interest.

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Solution

Given: Time, T=5 yearsLet the principal be PRate of interest =R Amount, A=8P5Simple Interest, S.I= Amount − Principal =8P5−P=3P5 (adsbygoogle = window.adsbygoogle || []).push({}); ∴S.I=3P5 Again, S.I=P×R×T100⇒3P5=P×R×5100⇒35=5R100⇒35=R20⇒R=3×205⇒R=3×4∴R=12. The required rate of interest is 12%.

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