the sum of money becomes 18/15 of itself in 4 years at a certain rate of simple interest.find the rate of interest????
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Given :-
- the sum of money becomes 18/15 of itself in 4 years at a certain rate of simple interest.
To find :-
- find the rate of interest
Solution :-
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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