P,Q, R enter a partnership where they invest Rs. 20000, Rs. 30000, Rs. 40000 resp. P withdraws Rs. 10000 after 2 months, Q withdraws Rs. 15000 after 4 months and R withdraws Rs. 25000 after 8 months. What will be R’s share in the profit of Rs. 12474?
C
Correct answer
Explanation
Calculate each partner's investment × time: P invests 20000 for 2 months, then 10000 for remaining 10 months = 20000×2 + 10000×10 = 140000. Q invests 30000 for 4 months, then 15000 for 8 months = 30000×4 + 15000×8 = 240000. R invests 40000 for 8 months, then 15000 for 4 months = 40000×8 + 15000×4 = 380000. Total = 760000. R's share = (380000/760000) × 12474 = 5643.