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?Solution
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.
Working alone, B can complete the work in 30 days. C is twice as efficient as B and A takes 3 days more than it takes C to complete the work. Working to...
A man can complete a task in 20 days, a woman can finish it in 30 days, and a boy can do the same task in 60 days. To complete the task in just 3 days, ...
Arjun can finish 60% of a job in 9 days. Bittu needs 9 more days than Arjun to finish the whole job, and Bittu’s efficiency is 25% higher than Charu�...
- ‘P’ takes 25 days to complete a piece of work. ‘Q’ is 25% more efficient than ‘P’. Find the time taken by them to complete 90% of the work toge...
12 children and 18 men complete an artwork in 9 days. Each child takes twice as long as a man to finish the artwork. How many days will it take for 18 m...
A can fabricate a divider in 10 days , while B alone can assemble it in 30 days, If they construct it together and get an installment of Rs 8200, then f...
A can finish a task in 32 days, while B can complete the same task 8 days sooner than A. If they together earn a total of Rs. 1050 for the job, how much...
A and B individually can complete the work in 20 days and 30 days respectively. If the time taken by C alone to complete the work is 1.25 times the time...
'A' and 'B' together can do a piece of work in 12 days while 'B' and 'C' together can do the same work in 16 days. 'A' started the work alone and worke...
A and B can complete a work together in 30 days. If A alone can complete one-third of the work in ‘x’ days and remaining work is completed by B alon...
Relevant for Exams:
