A man started off a business with a certain capital amount. In the first year, he earned 60% profit and donated 50% of the total capital (initial amount + profit). He followed the same procedure with the remaining capital after the second and the third year. If at the end of the three years, he is left with Rs. 15,360, what was the initial amount (in Rs.) with which the man started his business?

A. 20,000

B. 30,000

C. 25,000

D. 32,000

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & {\text{Let initial amount}} = n \cr & \frac{{n \times 160}}{{100}} \times \frac{{50}}{{100}} \times \frac{{160}}{{100}} \times \frac{{50}}{{100}} \times \frac{{160}}{{100}} \times \frac{{50}}{{100}} = 15360 \cr & \frac{{n \times 16}}{{10}} \times \frac{1}{2} \times \frac{{16}}{{10}} \times \frac{1}{2} \times \frac{{16}}{{10}} \times \frac{1}{2} = 15360 \cr & \frac{{512n}}{{10 \times 10 \times 10}} = 15360 \cr & n = 30,000 \cr} $$