Multiple choice

If the numerator of a fraction is increased by 250% and the denominator is decreased by 50%, then the new fraction is 4/5. What was the original fraction?

  1. 4/35

  2. 1/5

  3. 4/25

  4. 12/35

  5. None of these

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A Correct answer
Explanation

Let the original fraction be a/b. Then according to the question, (a + a * 250/100)/(b - b * 50/100) = 4/5 (3.5 * a)/(0.5 * b) = 4/5 a/b = 4/35