Three partners, A, B, and C started a firm with investments in the ratio 3 : 2 : 4. After 6 months, A doubled his capital, B halved his, and C maintained his investment. If the total profit after one year was Rs. 1,80,000, what was B's share of profit?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Rs. 27,000.
Initial investments: A = 3x, B = 2x, C = 4x
First 6 months: A = 3x × 6 = 18x, B = 2x × 6 = 12x, C = 4x × 6 = 24x
Next 6 months: A doubled = 6x × 6 = 36x, B halved = x × 6 = 6x, C same = 4x × 6 = 24x
Totals: A = 18x + 36x = 54x, B = 12x + 6x = 18x, C = 24x + 24x = 48x
A : B : C = 54 : 18: 48 = 9 : 3 : 8
B's share = (3/20) × 180000 = 27000