Multiple choice

Divide Rs.2,800 among three persons A, B and C. If the shares of A and B are in the ratio 12 : 13 and Cs share is 40% of the total of shares of A and B; find the shares of A, B and C.

  1. A = Rs.960, B = Rs.1,040 and C = Rs.800

  2. A = Rs.960, B = Rs.1,040 and C = Rs.900

  3. A = Rs.960, B = Rs.1,140 and C = Rs.800

  4. A = Rs.980, B = Rs.1,040 and C = Rs.800
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A Correct answer
AI explanation

Let the shares of A and B be 12x and 13x, making their combined total 25x. Since C's share is 40% of this combined total, C receives 0.40 times 25x, which equals 10x. The total amount distributed is 12x + 13x + 10x = 35x, which equals Rs. 2,800. Solving for x gives x = 80, making the shares A = Rs. 960, B = Rs. 1,040 and C = Rs. 800.

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