A and B entered into partnership with capitals in the ratio 4 : 5. After 3…
20252024
A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew
of his capital and B withdrew
of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:
- A.
Rs. 330
- B.
Rs. 360
- C.
Rs. 380
- D.
Rs. 430
Attempted by 241 students.
Show answer & explanation
Correct answer: A
Solution outline:
Use time-weighted capitals (capital × months) because each partner withdraws a part of their capital after 3 months.
First 3 months: A's capital = 4x, B's capital = 5x. Contributions: A = 4x × 3 = 12x; B = 5x × 3 = 15x.
Remaining 7 months after withdrawals: A withdraws 1/4 of 4x → A = 3x, contribution = 3x × 7 = 21x. B withdraws 1/5 of 5x → B = 4x, contribution = 4x × 7 = 28x.
Total contributions: A = 12x + 21x = 33x; B = 15x + 28x = 43x. So the profit is divided in the ratio 33 : 43.
A's share of Rs. 760 = 760 × 33/(33 + 43) = 760 × 33/76 = (760/76) × 33 = 10 × 33 = Rs. 330.