A) \( \Large \frac{3}{10} \) |
B) \( \Large \frac{2}{15} \) |
C) \( \Large \frac{3}{16} \) |
D) None of the above |
D) None of the above |
Let the original fraction be \( \Large \frac{x}{y} \)
Numerator is increased by 200%.
Therefore, Numerator = x + 200% of x
= \( \Large x + \frac{200x}{100} \)
= \( \Large \frac{100x + 200x}{100} \)
= \( \Large \frac{300x}{100} \)
and denominator of the fraction is by 150%.
Denominator = \( \Large y + \frac{150y}{100} \)
= \( \Large \frac{100y + 15y}{100} \)
= \( \Large \frac{250y}{100} \)
Then, according to the question,
\( \Large \frac{300x/100}{250y/100} = \frac{9}{35} \)
\( \Large \frac{300x}{250y} = \frac{9}{35} \)
Therefore, \( \Large \frac{x}{y} = \frac{9}{35} \times \frac{250}{300} = \frac{3}{14} \)