if the compound interest on a certain sum for 2 years at 10% per annum is Rs 1050 ,the sum is ?
Answers
Answered by
75
A= P(1+r/n)^nt
where A=P + C.I
P is principle amount , C.I is compound interest, r is rate of interest, n is no. of times interest is compounded, t is time period.
P+C.I= P(1+0.1)^2
P+1050=P(1.21)
1050=.21P
P=5000Rs.
where A=P + C.I
P is principle amount , C.I is compound interest, r is rate of interest, n is no. of times interest is compounded, t is time period.
P+C.I= P(1+0.1)^2
P+1050=P(1.21)
1050=.21P
P=5000Rs.
Answered by
39
Dear Student,
● Answer -
Sum = 5000 Rs
● Explaination -
# Given -
CI = 1050 Rs
r = 10 % per annum
t = 2 years
# Solution -
Compound interest over sum p is given by formula -
CI = P [(1+r)^t - 1]
1050 = P [(1 + 10/100)^2 - 1]
1050 = P [(1+0.1)^2 - 1]
1050 = P [1.1^2 - 1]
1050 = P [1.21 - 1]
1050 = P × 0.21
P = 1050 / 0.21
P = 5000 Rs
Therefore, sum is 5000 Rs.
Hope this helps you...
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