किंतने समय मे रुपए 1000 की राशि 20 % वार्षिक की दर से 1331 हो जायगी, जबकि ब्याज प्रति छमाही सयोजिता होता है |

Options

A. `1(1)/(2)"years"`
B. 2 years
C. 1 years
D. `2(1)/(2)"years"`

Answer

a

Explanation

(a) Principal (P) = Rs. 1000,
Amount (A) = RS. 1331,
Let Required time = t years
According to the question,
Note : When interest is compounded half -yearly .
()
`Rate% = (20)/(2)= 10%`
Time = 2t years
By using formula,
`1331= 1000(1+(10)/(100))^(2t)`
`(1331)/(1000)= ((11)/(10))^(2t)`
`((11)/(10))^(3)=((11)/(10))^(2t)`
By equating both sides ()
`2t= 3 rArr t = (3)/(2)"years"`
`t= 1(1)/(2)"years"`