A sum of Rs.96000 is divided into three parts such that the simple interests accrued on them for Eight, two and four years respectively may be equal. Find the amount deposited for 8 years. Choose the correct choice from the following.
A) 14000 B) 16000 C) 12000 D) 20000 E) 13000
Let the amounts be x, y, z in ascending order of value. As the interest rate and interest accrued are same for 2 years 4 years and 8 years i.e. 2x = 4y = 8z = k.   L.C.M. of 2,4,8 = 8 So x:y:z: = 48000 : 24000 :12000   The amount deposited for 11 years = 12000   ANSWER:12000
<result>C</result>
A sum of Rs.96000 is divided into three parts such that the simple interests accrued on them for Eight, two and four years respectively may be equal. Find the amount deposited for 8 years.