Thursday, August 31, 2017

Q. At what time will the compound interest payable half yearly on Rs 2400 be Rs 2646 at the 5% per 6 month?

Soln:
Given,
Principal (P) = Rs. 2400
Compound Amount (C.A.) = Rs. 2646
here,
5% for 6 months.
5/6 % for 1 month
(5/6)*12 for 12 months = 10% for 1 year = 10% p.a.
Rate (R) = 10% p.a.
Compound Interest Semi-Annually (Half-Yearly)
C.A. = P(1 + R/200)^2T
2646 = 2400(1 + 10/200)^2T
1.1025 = (1.05)^2T
(1.05)^2 = (1.05)^2T
2 = 2T
T = 1 year Ans.