The difference between the compound interest and the simple interest on a certain sum at 5% per annum for two years is rs 1.50. the sum is
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Compound interest= p(1+R)^n
where p is principal R is rate of interest Per annum n is no. ofyears
Simple interest=PTR/100
where p=principal T is Time R is rate of interest Per annum
p(1+R)^n-PTR/100=difference
subsitute values
p(1+5/100)^2 - P*2*5/100 =1.50rs
p(1.05)^2 - p(1/10) = 1.50rs
p(1.105)-p(0.1)=1.50rs
p(1.105 - 0.1)=1.50rs
p(1.005)=1.50rs
p=1.50/1.005
p=1.49 is the amount
where p is principal R is rate of interest Per annum n is no. ofyears
Simple interest=PTR/100
where p=principal T is Time R is rate of interest Per annum
p(1+R)^n-PTR/100=difference
subsitute values
p(1+5/100)^2 - P*2*5/100 =1.50rs
p(1.05)^2 - p(1/10) = 1.50rs
p(1.105)-p(0.1)=1.50rs
p(1.105 - 0.1)=1.50rs
p(1.005)=1.50rs
p=1.50/1.005
p=1.49 is the amount
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