Multiple choice

An amount is to be divided among A, B and C in the ratio 3 : 5 : 7. If C's share is $1,600 more than A's share, what will be B's share?

  1. $1,000
  2. $1,500
  3. $1,800
  4. $2,000
  5. $2,500
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D Correct answer
Explanation

Let shares be 3x, 5x, 7x. Given 7x - 3x = 1600, so 4x = 1600, x = 400. B's share = 5x = 5 * 400 = 2000.

AI explanation

Let the shares of A, B and C be 3x, 5x and 7x respectively. The difference between the shares of C and A is 7x - 3x = 4x. Since this difference equals 1600, we have 4x = 1600, which gives x = 400. Therefore, the share of B is 5x = 5 x 400 = $2,000.

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