If 28% of a number is 75 less than 43% of the same number, then 30% of that…

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If 28% of a number is 75 less than 43% of the same number, then 30% of that number is:

  1. A.

    175

  2. B.

    145

  3. C.

    150

  4. D.

    120

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Show answer & explanation

Correct answer: C

Let the number be x. The equation is 0.28x = 0.43x - 75.

Subtracting 0.28x from both sides gives 0 = 0.15x - 75, so 0.15x = 75.

Dividing by 0.15 yields x = 500.

The question asks for 30% of the number, which is 0.30 * 500 = 150.

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