A and B start a business with capital of Rs. 25,000 and Rs. 35,000. After 5 months, C joins with Rs. 40,000. After another 3 months, A withdraws Rs. 5,000, and B adds Rs. 10,000, while C continues with the same. At the end of a year, the profit is Rs. 60,000. Find the exact share of profit of C. (within 2 decimal)
Show answer & explanation
Correct answer: A
Explanation
Given:
A = 25,000, B = 35,000
After 5 months, C = 40,000
After 8 months, A = 20,000, B = 45,000
Total duration = 12 months, Total profit = 60,000
A = 25,000 × 8 + 20,000 × 4 = 200,000 + 80,000 = 280,000
B = 35,000 × 8 + 45,000 × 4 = 280,000 + 180,000 = 460,000
C = 40,000 × 7 = 280,000
Ratio = A : B : C = 280,000 : 460,000 : 280,000 = 28 : 46 : 28
Total parts = 28 + 46 + 28 = 102
C's share = (28/102) × 60,000 = 16,470.59