A, B, and C started a business. A invested Rs. 1,20,000, B invested Rs. 80,000, and C invested Rs. 1,00,000. After 6 months, A added Rs. 20,000, and C withdrew Rs. 10,000. If the total profit at the end of 2 years is Rs. 3,60,000, how much will A receive?
Show answer & explanation
Correct answer: B
Explanation
Given:
A's investment = 1,20,000
B's investment = 80,000
C's investment = 1,00,000
After 6 months, A added 20,000
After 6 months, C withdrew 10,000
Total time = 2 years = 24 months
Total profit = 3,60,000
A:
First 6 months = 1,20,000 × 6 = 7,20,000
Next 18 months = 1,40,000 × 18 = 25,20,000
Total = 32,40,000
B:
80,000 × 24 = 19,20,000
C:
First 6 months = 1,00,000 × 6 = 6,00,000
Next 18 months = 90,000 × 18 = 16,20,000
Total = 22,20,000
Ratio = 32,40,000 : 19,20,000 : 22,20,000 = 54 : 32 : 37
Total = 54 + 32 + 37 = 123
A's profit = (54 / 123) × 3,60,000 = 1,58,049