find principal if amount is 79507, rate is 15% p.a compunded half-yearly for 1.5 years
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As the formula of compound interest is ―
A=p(1+i)^n
where 'i' is given rate of interest/100
and in this sum it asks for the half-yearly so we will apply the formula given below―
A=p(1+i/2)^2n
Now,
A= 79507
r= 15% so i = r/100 15/100=0.15
n= 1.5
so as per formula,
A=p(1+i/2)^2n
79507=p(1+0.15/2)^1.5×2
79507=p/2(1+0.075)^3
79507=p(1.075)^3
79507=p×1.24229
79507/1.24229=p
64000=p
so the principal is Rs. 64000
Hope this will help you.
A=p(1+i)^n
where 'i' is given rate of interest/100
and in this sum it asks for the half-yearly so we will apply the formula given below―
A=p(1+i/2)^2n
Now,
A= 79507
r= 15% so i = r/100 15/100=0.15
n= 1.5
so as per formula,
A=p(1+i/2)^2n
79507=p(1+0.15/2)^1.5×2
79507=p/2(1+0.075)^3
79507=p(1.075)^3
79507=p×1.24229
79507/1.24229=p
64000=p
so the principal is Rs. 64000
Hope this will help you.
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