किस वार्षिक ब्याज दर से रुपए 2304 चक्रवृद्धि ब्याज से 2 वर्ष मे रुपए 2500 हो जायगे ?

Options

A. `4(1)/(2)%`
B. `4(1)/(5)%`
C. `4(1)/(6)%`
D. ` 4(1)/(3)%`

Answer

c

Explanation

(c) Principal = Rs.2304,
Amount = Rs. 2500
Time = 2 years ,
Let Rate % = R%
using formula,
`2500= 2304(1 +(R)/(100))^(2)`
`(2500)/(2304)= (1 +(R)/(100))^(2)`
`(625)/(576)=(1 +(R)/(100))^(2)`
`((25)/(24))^(2)= (1+(R)/(100))^(2)`
By taking square not root of both sides,
`(25)/(24)= 1+(R)/(100)`
`(R)/(100) =(25)/(24)- 1`
`rArr R = (100)/(24)= (25)/(6)%`
Rate `= 4(1)/(6)%`
Alternate
ltbgt Requried Rate% `= (1)/(24)xx100`
`= (25)/(6) = 4(1)/(6)%`