there is 60%percent percent increase in a amount in 6 year at simple interest what will be the compound interest of great 12,000 after 3 year at the same rate
Answers
Question:-
•There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate ?
Solution:-
Let the principal in simple interest be ₹100.
Since there is 60% increase, simple interest = 60
We already know the formula for S.I.
That is,
I = P×r×t/100
Here, I=60,P =100,t=6
60 = (100 ×r× 6) / 100
60 = 6r
Divide each side by 6.
10% = r
Because the rate of interest is same for both S.I and C.I, we can use the rate of interest 10% in C.I.
To know compound interest for 3 years,
Substitute P = 12000, r = 0.1, n = 1 and t = 3 in the formula of C.I.
A = 12000(1 + 0.1)3
A = 12000(1.331)
A = 15972
C.I = A - P
C.I = 15972 - 12000
C.I = 3972
So, the compound interest after 3 years at the same rate of interest is ₹ 3972.