At what rate percent per annum will rs 50000 amount to rs 86400 in 18months if it is compounded semi annualy
Answers
Answered by
0
Answer:
P=50000
A=86400
T=18 months but amount is compounded semi annually
hence T= 3 half years
Let rate be R% compounded semi annually
A= P(1+R/100)³
86400= 50000(1+R/100)³
86400/50000= (1+R/100)³
on solving on the left hand side we get
216/125=(1+R/100)³
the LHS can be written as
(6/5)³ = (1+R/100)³
which implies
6/5 = 1+R/100
6/5-1=R/100
(6-5)/5=R/100
1/5 = R/100
1/5 * 100 = R
which gives R=20%
Answered by
0
Answer:
20%
Step-by-step explanation:
A= P(1+R/100)³
86400= 50000(1+R/100)³
86400/50000= (1+R/100)³
on solving on the left hand side we get
216/125=(1+R/100)³
the LHS can be written as
(6/5)³ = (1+R/100)³
which implies
6/5 = 1+R/100
6/5-1=R/100
(6-5)/5=R/100
1/5 = R/100
1/5 * 100 = R
which gives R=20%
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