Multiple choice

A sum of money is to be divided among A, B and C in the respective ratio of 2 : 3 : 5. If the total share of A and B should amount to Rs. 1800 more than A's share, then find C's share (in Rs.).

  1. 1500

  2. 2000

  3. 3000

  4. Data inadequate

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

Let shares be 2x, 3x, 5x. Total share of A and B is 2x + 3x = 5x. The condition is 5x = 2x + 1800, so 3x = 1800, which means x = 600. C's share is 5x = 5 * 600 = 3000.

AI explanation

Let the shares of A, B, and C be 2x, 3x, and 5x respectively. The total share of A and B is 2x plus 3x, which equals 5x. The problem states that this combined share of 5x is Rs. 1800 more than A's share of 2x, meaning 5x minus 2x equals 1800. Solving this gives 3x equals 1800, so x equals 600. C's share is 5x, which is 5 multiplied by 600, resulting in Rs. 3000.

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