A started a business with rs 20000 after 3 months B joined him with rs 40000 after some more months c joined them with rs 100000 B received rs 18000 out of the total annual profit of rs 55000 how many months after A started the business did c join
A started a business with rs 20000 after 3 months B joined him with rs 40000 after some more months c joined them with rs 100000 B received rs 18000 out of the total annual profit of rs 55000 how many months after A started the business did c join
How to do easy way please help
To find out how many months after A started the business did C join, we can follow these steps:
Step 1: Calculate the total capital invested by A and B before C joined.
- A invested Rs 20,000.
- After 3 months, B joined A with an additional investment of Rs 40,000.
So, the total capital invested by A and B before C joined is Rs 20,000 + Rs 40,000 = Rs 60,000.
Step 2: Determine the total capital invested by A, B, and C after C joined.
- After C joined, the total capital would be the sum of the capital invested by A, B, and C.
- B received Rs 18,000 in profit, so the remaining profit is Rs 55,000 - Rs 18,000 = Rs 37,000.
- If B received Rs 18,000, then the ratio of B's investment to the total investment is (18,000/55,000) = (40,000/total capital).
Solving this proportion, we find that the total capital invested is (40,000 * 55,000) / 18,000 = Rs 122,222.22.
- The total capital after C joined is Rs 122,222.22.
- We know that C's investment is Rs 1,00,000.
- So, the remaining capital (after A and B's investment) is Rs 1,22,222.22 - Rs 1,00,000 = Rs 22,222.22.
- This remaining capital is what A and B originally invested, so it was A's initial investment of Rs 20,000 plus the investment made by B in the first 3 months.
- A's initial investment was Rs 20,000.
- B's investment in the first 3 months is the difference between the total capital invested by A and B before C joined and A's initial investment: Rs 60,000 - Rs 20,000 = Rs 40,000.
- So, the remaining capital of Rs 22,222.22 is the investment B made after A started the business.
Since C joined when the remaining capital was Rs 22,222.22, this means C joined after A started the business for a period of time. However, we don't have the exact months given in the problem to determine the specific time frame.