Aman decides to diversify his investments and ventures into a small-scale farming business. He buys a piece of land for ₹500,000 and spends an additional ₹200,000 on seeds, fertilizers, and labor. He plans to grow vegetables and sell them in the local market. The expected yield from the farm is 50,000 kg of vegetables per year. Aman plans to sell these vegetables at ₹25 per kg. Additionally, he takes a loan of ₹300,000 from a bank at an interest rate of 8% per annum, compounded annually, to cover unforeseen expenses. Meanwhile, he also employs two laborers to work on the farm. The first laborer can plow a field in 8 hours, while the second laborer can do the same in 12 hours. They work together for a certain number of hours to complete the plowing of 5 fields.
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1.What is the total investment Aman has made in the farming business including the land, seeds, fertilizers, and labor?
2.What is the total revenue Aman expects to generate from selling all the vegetables in a year?
3.What will be the amount Aman needs to repay after 3 years for the loan taken from the bank?
4.If Aman wants to achieve a profit margin of 20% on his total investment, what should be the minimum selling price per kg of vegetables?
5.If the two laborers work together to plow 5 fields, how much time will they take in total?