Multiple choice

3 partners A, B, C start a business. 4 times of A's capital is equal to 6 times of B's Capital and B's Capital Is 8 times of C's capital if profit of Bis Rs.6300. Then find the average profit A and C

  1. 7000.50

  2. 5118.75

  3. 4475.25

  4. 5181.75

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

4A = 6B and B = 8C. If B = 6,300, then C = 6,300/8 = 787.5. Since 4A = 6(6,300), 4A = 37,800, so A = 9,450. The average of A and C is (9,450 + 787.5)/2 = 5,118.75.

AI explanation

Given that 4 times A's capital equals 6 times B's capital, the ratio of A to B is 6:4, or 3:2. Because B's capital is 8 times C's capital, the ratio of B to C is 8:1, making the complete ratio of A:B:C equal to 12:8:1. Since B's profit share of Rs. 6300 corresponds to 8 units, one unit of profit equals Rs. 787.5. Therefore, A's profit is 12 x 787.5 = Rs. 9450 and C's profit is Rs. 787.5, and their average is (9450 + 787.5) divided by 2, which equals Rs. 5118.75.

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