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Step-by-step explanation:
Given :-
Principle = Rs. 256
Rate of interest = 100% per annum
Time = 1 year
To find:-
Find the compound interest and amount ?
Solution :-
Given that
Principle = Rs. 256
Rate of Interest = 100% per annum
If interest is calculated compounded quarterly then for 1 year = 4 times
Rate of interest = 100%/4 = 25%
We know that
Amount =P[1+(R/100)]^n
=> A = 256[1+(25/100)]⁴
=> A = 256[1+(1/4)]⁴
=> A = 256[(4+1)/4]⁴
=> A = 256[(5/4)⁴
=> A = 256×5×5×5×5/4×4×4×4
=> A = 256×625/256
=> A = Rs. 625
We know that
Amount = Principle + Interest
=> Interest = Amount - Principle
=> Interest = 625-256
=> I = Rs. 369
Answer:-
Amount for the given problem is Rs. 625
Compound Interest for the given problem is
Rs. 369
Used formulae:-
- Amount =P[1+(R/100)]^n
- Amount = Principle + Interest
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