Answer: Option C
Let's solve this problem using the concept of ratio and proportion.
Given, A invested a certain sum of money in the business for one year and B invested Rs 60,000 for ten months. The profit is divided in the ratio of 4:5. We need to find A's capital.
Let's assume A invested x amount of money for 12 months. Therefore, the total profit is divided into 4+5=9 parts.
The ratio of profit share for A and B is 4:5, which means A gets 4/9th of the total profit and B gets 5/9th of the total profit.
Now, let's calculate B's capital using the concept of time and money.
B's capital * Time = ProfitB's capital * 10/12 = 5/9 (total profit)B's capital = (5/9) * (12/10) * 60000B's capital = Rs. 40000
Now, we can use the concept of proportion to find A's capital.
A's capital : B's capital = 4 : 5A's capital : 40000 = 4 : 5A's capital = (4/5) * 40000A's capital = Rs. 32000
Therefore, A invested Rs. 32000 in the business for one year.
In conclusion, the correct answer is Option C (Rs. 40000).If you think the solution is wrong then please provide your own solution below in the comments section .