Question

A man invests ₹40,000 in a business. After 3 years, he sells 40% of his stake for a 30% profit and reinvests the amount. After another 2 years, he sells 20% of his remaining stake at a 45% profit and reinvests half of the profit. At the end of 5 years, he sells the rest of his stake, which has appreciated by 25%. What is the total value of his investment at the end of 5 years?

Q: Answer-A man invests ₹40,000 in a business. After 3 years, he sells 40% of his stake for a 30% profit and r...

Initial investment 40,000. First sale after 3 years 40 of 40,000 16,000. Profit 16,000 30 4,800. Reinvested amount 16,000 4,800 20,800. Remaining stake after 1st sale 40,000 - 16,000 24,000. Second sale after 5 years 20 of 24,000 4,800. Profit 4,800 45 2,160. Reinvested amount 4,800 1,080 half the profit 5,880. Remaining stake after 2nd sale 24,000 - 4,800 19,200. Appreciation after 5 years 19,200 25 4,800. Final value of remaining stake 19,200 4,800 24,000. Total value 20,800 5,880 24,000 50,680. Plus profit reinvested earlier 4,800 2,160 6,960. Final value 50,680 6,960 57,640. Closest option a 57,640.