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 ₹15,360, what was the initial amount (in ₹) with which the man started his business?

30,000

Let the capital initially be = x

+60% =  \(\frac{8}{5}\)

-50% = \(\frac{1}{2}\)

ATQ,

In the first year, he earned 60% profit and donated 50% of the total capital (initial amount + profit) and following this same procedure for next 3 years .

x × \(\frac{8}{5}\) × \(\frac{1}{2}\) × \(\frac{8}{5}\) × \(\frac{1}{2}\) × \(\frac{8}{5}\) × \(\frac{1}{2}\) = 15,360

x × \(\frac{512}{1000}\) = 15,360

x = 30,000