at what rate percent per annum will ₹50,000 amount to ₹86,400 in 3 years,if the interest is compounded annually?
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Ans. Amount (A)= 86400
Time(n) = 3 years
Principal (P)= 50000
Let rate (r) = r%
Then We Know,
A=P×(1+r100)n
=>86400=50000×(1+r100)3
=>8640050000=(1+r100)3
=>216125=(1+r100)3
=>(65)3=(1+r100)3
On comparing, We get
=>(65)=(1+r100)
=>65−1=r100
=>15=r100=>r=20%
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