Question

If 5,600 is divided among A, B and C such that A gets 1,000 less than B and C gets 1,200 less than B, the share of B will be

• A. 1,800
• B. 2,600
• C. 1,600
• D. None of these

Hint:

If 5,600 is divided among A, B and C such that A gets 1,000 less than B and C gets 1,200 less than B, the share of B will be

Answer 1

The Correct Option is B

Assume B's portion equals x. A's portion equals x - 1000. C's portion equals x - 1200. The sum of all shares (A + B + C) is 5600. Therefore, (x - 1000) + x + (x - 1200) = 5600. This simplifies to 3x - 2200 = 5600, then 3x = 7800. Solving for x, x = 2600. B's share is 2,600, corresponding to option (2).