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

Mathematics

2 answers:

Lesechka [4]3 years ago

7 0

Answer : 12%

explanation :

Let the sum of money be P(which is the principal value) and rate of interest be R.

According to the question,

Amount (principal +simple interest) = 8P/5

Time (T) = 5 years

Simple interest (SI) = PRT/100

SI = 5PR/100

Amount = P +SI

8P/5 = P+(5PR/100)

8P/5 = P(100+5R)/100

160 = 100 +5R

5R =60

R = 12

Therefore, rate of interest = 12% p.a.

pogonyaev3 years ago

3 0

The rate of intrest is 5 because i said so

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3 years ago

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8 0

1 year ago

2/5 + (5^2-10) / 5^2

Vadim26 [7]

$\bf \cfrac{2}{5}+\cfrac{5^2-10}{5^2}\implies \cfrac{2}{5}+\cfrac{~~\begin{matrix} 5^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 5^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}-\cfrac{10}{5^2}\implies \cfrac{2}{5}+1-\cfrac{10}{25}\implies \cfrac{2}{5}+1-\cfrac{2}{5}\implies 1$