Multiple choice

P and Q started a business by investing Rs 50000 and Rs 40000 respectively. After 4 months, P withdraws Rs.20000 while Q invest Rs.70000 more after 6 months of starting the business. At the end of the year P’s share in the profit is Rs.11000. What will be the total profit (in Rs.) at the end of year? P और Q ने क्रमशः 50000 रुपये और 40000 रुपये निवेश करके एक व्यापार शुरू किया। 4 महीने बाद P नें 20000 रुपये वापस निकाल लिए जबकि Q नें व्यापार शुरू करने के 6 महीने बाद 70000 रुपये और निवेश कर दिए । वर्ष के अंत में लाभ में P का हिस्सा 11000 रुपए है । वर्ष के अंत में कुल लाभ (रु. में) कितना होगा?

  1. 33500

  2. 27600

  3. 42800

  4. 38800
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A Correct answer
Explanation

Calculate time-weighted investments: P invests Rs. 50000 for 4 months and Rs. 30000 for 8 months, giving 50000×4 + 30000×8 = 440000. Q invests Rs. 40000 for 6 months and Rs. 110000 for 6 months, giving 40000×6 + 110000×6 = 900000. Profit ratio is 440000:900000 = 22:45. If P gets Rs. 11000 (22 parts), total profit = 11000 × 67/22 = Rs. 33500.

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