Multiple choice

A, and B invested Rs. 6000 and Rs. 8000 respectively in abusiness. After six months, B withdraws half of hisinvestment. If at the end of the year total profit was Rs.1000, then find the profit share of A?

  1. 450 Rs

  2. 400 Rs.

  3. 550 Rs.

  4. 500 Rs.

  5. 600 Rs.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A's investment is 6000 for 12 months (72,000 unit-months). B's investment is 8000 for 6 months and 4000 for the remaining 6 months (48,000 + 24,000 = 72,000 unit-months). Since their total investment contributions are equal, they split the profit equally, meaning A gets 500 Rs.

AI explanation

Calculate the effective capital by multiplying investment by time. A's effective capital is 6000 * 12 = 72000, and B's effective capital is 8000 * 6 + 4000 * 6 = 72000. Because their effective capitals are equal, they split the profit equally. A's share of the 1000 profit is 500.

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