A, B, and C started a business. A invested (100/3)% of the total capital, B invested (100/3)% of the remaining capital and C, the remaining. If the total profit, at the end of a year, was Rs. 20250, then the profit of C exceeds the profit of B by:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 4500
Let the total capital invested = x
Share of A in the total capital = x × (100/3) × (1/100) = x/3
So remaining = x - x/3 = 2x/3
Share of B in the total capital = 2x/3 × (100/300) = 2x/9
Share of C in total capital = x - x/3 - 2x/9 = 4x/9
Hence, the ratio in the investment = 3 : 2 : 4
Total share of C in profit = 20250 × 4/9 = 9000
Share of B in profit = 20250 × 2/9 = 4500
Hence the profit of C exceeds the profit of B by = 9000 - 4500 = 4500