The numerator of a fraction is decreased by 25% and the denominator is increased by 250%. If the resultant fraction is \( \Large \frac{6}{5} \) what is the original fraction ?
Correct Answer: |
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D) \( \Large \frac{28}{5} \) |
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Description for Correct answer:
Let the original fraction = \( \Large \frac{x}{y} \)
According to question,
\( \Large \frac{x - x * \frac{25}{100}}{y + y x \frac{250}{100}} \) = \( \Large \frac{6}{5} \)
\( \Large \frac{75x}{350y} \) = \( \Large \frac{6}{5} \)
\( \Large \frac{x}{y} \) = \( \Large \frac{6 x 350}{5 x 75} \)
\( \Large \frac{x}{y} \)= \( \Large \frac{28}{5} \)
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