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Three numbers A, B and C are such that A is 40% less than B, and C is 40% of the sum of A and B. The difference between A and B is what percentage of C?

Question and options

Three numbers A, B and C are such that A is 40% less than B, and C is 40% of the sum of A and B. The difference between A and B is what percentage of C?
  1. 60.50%
  2. 64%
  3. 62.50%
  4. 60%

Answer and explanation

Correct answer: C - 62.50%
Take B = 100, A = 60, C = 0.4*160 = 64. (B-A)/C = 40/64 = 62.5%.

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