Question

the compound interst on a certain sum for 2 years is rs.40,80 and simple interst is rs.40.find the rate of interest per annum and the sum​

Answer 1

Answer:

Simple interest

n=2years

rate =10%

Simple interest =90 rupees

P=100 (suppose )

R=10%

n=2

Simple interest = PNR /100= 100 ×2×10 ×1/100

=20 rupees

Simple interest is 20 rupees principle is 100 rupees

Simple interest is 90 rupees how much is principle ?

Principle = 90×100/20 =5×90=450 rupees

Compound interest

A=P(1+r/100 )^n

A= 450 (1+10/100) ^2=450×11/10 ×11/10= (45×11×11)/10= 544.50

Compound interest is 544.50--450=94.50 rupees

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