The time in which `Rs. 80,000` amounts to `Rs. 92,610` at `10%` p.a. compound interest, interest being compounded semi annually is

Options

A. 2 years/2 वर्ष
B. `2 1/2` years /`2 1/2` वर्ष
C. 3 years/3 वर्ष
D. `1 1/2` years /`1 1/2` वर्ष

Answer

D

Explanation

`:.` ब्याज छमाही संयोजीत होता है। .
`:. " दर " 10/2=5%, " समय " =2t`
`A = P[1+r/100)^t`
`implies 92610 = 80000[1+ 5/100)^(2t)`
`implies 92610/80000 =(21/20)^(2t)`
`implies 9261/800(21/20)^(2t)`
`implies (21/20)^(2t) =(21/20)^3`
`implies 2t = 3`
`implies t=3/2 =1 1/2`yrs.