Question:In how many years will a sum of Rs.`800`at `10%` per annum compounded semi - annually became Rs.`926.10 ?` 

A `2 1/2` 
B `1 1/2` 
C `2 1/3` 
D `1 1/3` 

+ Answer
B 

+ Explanation
Rate `= 5%` per half - year time= 2n half years = n years.

Then, `800 (1 + 5/100)^2n`

`= 926.10`

`⇔ (21/20) = 926.10/800`

`= 9261/8000`

`= (21/20)^3`.

`:. 2n = 3`

`or n = 3/2 years`.

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