Question

The simple interest eamed on a certain sum in 5 years is 30% of the sum. Find the rate of interest

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Answer 1

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Let the sum = (P) = ₹ 100

S.I. = (30/100) × ₹ 100 = ₹ 30

Period (T) = 5 Years

∴ Rate = (S.I. × 100)/(P × T) = (30 × 100)/(100 × 5) = 6%

___________❤__________

Answer 2

$\sf{\bold{\blue{\underline{\underline{Given}}}}}$

• The simple interest eamed on a certain sum in 5 years is 30% of the sum. ⠀⠀⠀

$\sf{\bold{\red{\underline{\underline{To\:Find}}}}}$

• Find the rate of interest?

$\sf{\bold{\purple{\underline{\underline{Solution}}}}}$

let,the principal sum (P)=100$

so,Simple interest (S.I)=30%

$\implies{\dfrac{30}{100}×100   }$

$\implies{\dfrac{30}{\cancel{100}}×\cancel{100} }$

$\implies{30\    }$ 

But, given time (T)=5 years.

Hence,

Rate of interest (R)=$\bold{\dfrac{S.I×100}{P×T}}$

$\rightsquigarrow$$\bold{\dfrac{30×100}{100×5}   }$

 $\rightsquigarrow$$\bold{\dfrac{\cancel{30}^{{{6}}}×\cancel{100}}{\cancel{100}×\cancel{5}}   }$ 

$\rightsquigarrow$$\bold{ 6\%  }$ 

⠀⠀⠀

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

$\therefore$ The rate of interest is 6% 

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