At what rate of interest per annum compounded annually will a sum of money become 81 times in 4 years
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Answered by
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Answer:
200%
Step-by-step explanation:
p(1+r/100)^4= 81p
(1+r/100)^4=3^4
r=2×100
200%
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Given :- At what rate of interest per annum compounded annually will a sum of money become 81 times in 4 years .
Formula used :-
when rate is compounded annually,
- Rate = [(Times)^(1/T) - 1] * 100
- Times = number of times sum becomes .
- T = Total time .
Answer :-
putting given values we get,
→ R = [(Times)^(1/T) - 1] * 100
→ R = [(81)^(1/4) - 1] * 100
→ R = [(3⁴)^(1/4) - 1] * 100
→ R = [3^(4 * 1/4) - 1] * 100
→ R = [3 - 1] * 100
→ R = 2 * 100
→ R = 200% (Ans.)
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