Multiple choice

A sum of $ 2236$ is divided among$ A, B \ and\ C $ Such that $ A$ receives$ 25\% $ more than $ C$ and $C$ receive $25\%$ less than $B$ . What is $A'$ s share in the amount ?

  1. Rs$. 460$
  2. Rs. $890$
  3. Rs. $780$
  4. Rs.$ 1280$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let C = x. Then A = 1.25x. Since C is 25 percent less than B, C = 0.75B, so B = C/0.75 = 4x/3. Total sum = 1.25x + 4x/3 + x = 2236. Multiplying by 12: 15x + 16x + 12x = 26832, so 43x = 26832, x = 624. A = 1.25 * 624 = 780.

AI explanation

Let B's share be 100 units. Since C receives 25 percent less than B, C's share is 75 units. Since A receives 25 percent more than C, A's share is 75 plus 18.75, which equals 93.75 units. The total amount of 2236 corresponds to 100 plus 75 plus 93.75, which equals 268.75 units. A's share is calculated as 2236 multiplied by (93.75 / 268.75), which results in Rs. 780.

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