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If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 9/35. What is the original fraction?

A) \( \Large \frac{3}{10} \)
B) \( \Large \frac{2}{15} \)
C) \( \Large \frac{3}{16} \)
D) None of the above

Correct Answer:




D) None of the above

Description for Correct answer:

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, \( \Large \frac{x}{y} = \frac{9}{35} \times \frac{250}{300} = \frac{3}{14} \)

Part of solved Simple and Decimal fraction questions and answers : >> Elementary Mathematics >> Simple and Decimal fraction

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Similar Questions

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