a sum of money becomes 8/5of itself in 5 years at a certain rate of simple interest.find the rate of interest.
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sum of money becomes 8 by 5 of itself in 5 years at a certain rate of simple interest find the rate of interest. SI means simple interest. therefore,the rate of interest is 12%.
Step-by-step explanation:
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Step-by-step explanation:
- A sum of money becomes 8/5 of itself in 5 years at a certain rate of interest. What is the rate of the interest?
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.
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