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A and B starts a business with capital of rupees 30000 and Rs 70000 respectively. After 4 months, A increases is capital by 33 1/3% and B decreases his capital by 50%. After few months of starting business C joins with capital of rupees 50000. If at the end of the year, C receive 30% profit share as received by A and B together then find after how many months did C joined after starting the business?
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A and B starts a business with capital of rupees 30000 and Rs 70000 re...
Analysis:
- Let the total profit at the end of the year be Rs X.
- A's initial capital = Rs 30,000
- B's initial capital = Rs 70,000
- C's capital = Rs 50,000

Calculations:
1. After 4 months:
- A's new capital = Rs 30,000 * 133 1/3% = Rs 40,000
- B's new capital = Rs 70,000 * 50% = Rs 35,000
2. Let C join after 'm' months:
- A's profit share = (4 + m) months
- B's profit share = (4 + m) months
- C's profit share = (m) months
3. Profit sharing ratio:
- A : B : C = (30,000 * 4 + 40,000 * 8) : (70,000 * 4 + 35,000 * 8) : 50,000 * m
4. Given that C's share = 30% of (A's share + B's share):
- 0.3X = (30,000 * 4 + 40,000 * 8) + (70,000 * 4 + 35,000 * 8) + 50,000 * m

Solving the equations:
1. A : B : C = 420,000 : 595,000 : 50,000m
2. 0.3X = 680,000 + 595,000 + 50,000m

Conclusion:
By solving the above equations, we can find the value of 'm' (months) when C joined the business after starting. This will give us the exact time frame of C's involvement in the business.
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A and B starts a business with capital of rupees 30000 and Rs 70000 respectively. After 4 months, A increases is capital by 33 1/3% and B decreases his capital by 50%. After few months of starting business C joins with capital of rupees 50000. If at the end of the year, C receive 30% profit share as received by A and B together then find after how many months did C joined after starting the business?
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A and B starts a business with capital of rupees 30000 and Rs 70000 respectively. After 4 months, A increases is capital by 33 1/3% and B decreases his capital by 50%. After few months of starting business C joins with capital of rupees 50000. If at the end of the year, C receive 30% profit share as received by A and B together then find after how many months did C joined after starting the business? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A and B starts a business with capital of rupees 30000 and Rs 70000 respectively. After 4 months, A increases is capital by 33 1/3% and B decreases his capital by 50%. After few months of starting business C joins with capital of rupees 50000. If at the end of the year, C receive 30% profit share as received by A and B together then find after how many months did C joined after starting the business? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B starts a business with capital of rupees 30000 and Rs 70000 respectively. After 4 months, A increases is capital by 33 1/3% and B decreases his capital by 50%. After few months of starting business C joins with capital of rupees 50000. If at the end of the year, C receive 30% profit share as received by A and B together then find after how many months did C joined after starting the business?.
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