ब्याज अर्धवार्षिक नियोजित हो, तो 80 , 000 रु की राशि 10 % वार्षिक चक्रवृद्धि ब्याज दर से किंतने वर्षा मे 92 , 610 रु हो जायेगी |

Options

A. `1(1)/(2)` years
B. 2 years
C. `2(1)/(2)` years
D. 3 years

Answer

a

Explanation

(a) Let the time = t years,
Rate% = 10%
Note: When interest is calculated semi-annually .
(‌नोट: जब अर्धवार्षिक संयोजित होता है)
New time = 2t years
Rate% `= (10)/(2)= 5%`
By using formula,
` 92610= 80,000 (1 + (5)/(100))^(2t)`
`(9261)/(8000)= ((21)/(20))^(2t)`
`((21)/(20))^(3) = ((21)/(20))^(2t)`
Comparing both sides, `2t = 3 rArr t = (3)/(2) "years" = 1(1)/(2)"yrs"`