Concept:Profit is shared in the ratio of each partner's investment multiplied by the time period. When investments change, calculate weighted capital for each part of the year.
Explanation:First, find X's total weighted capital: For the first 5 months, X invested Rs. 60,000. That gives
60000×5=300000. For the remaining 7 months, X withdrew half, so new investment is Rs. 30,000. That gives
30000×7=210000. X's total =
300000+210000=510000.
Next, Y's total weighted capital: For the first 5 months, Y invested Rs. 90,000. That gives
90000×5=450000. For the remaining 7 months, Y added Rs. 30,000, so new investment is Rs. 1,20,000. That gives
120000×7=840000. Y's total =
450000+840000=1290000.
The profit-sharing ratio is
510000:1290000. Simplify by dividing by 10,000:
51:129. Divide by 3:
17:43. Total ratio parts =
17+43=60.
X's share of profit =
6017​×49500=17×825=14025.
Answer:Rs. 14,025 (Option D)