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If the numerator of a fraction is increased by 100% and the denominator is increased by 150%, then the fraction becomes 1625\frac{16}{25}2516. What

Question

If the numerator of a fraction is increased by 100% and the denominator is increased by 150%, then the fraction becomes $\frac{16}{25}$ . What is the original fraction?

$\frac{5}{12}$

$\frac{4}{5}$

$\frac{7}{12}$

$\frac{5}6$

Solution

Correct option is B

Given:

Numerator is increased by 100%.

Denominator is increased by 150%.

New fraction becomes

\frac{16}{25}.

Solution:

\text{Let say the fraction is } \frac{x}{y}. \\\text{According to the question,} \\\frac{x + \frac{100}{100}x}{y + \frac{150}{100}y} = \frac{16}{25}. \\\text{or, } \frac{2x}{2.5y} = \frac{16}{25}. \\\text{or, } \frac{x}{y} = \frac{16}{25} \times \frac{2.5}{2} = \frac{8}{10} = \frac{4}{5}.

Thus, the original fraction is $\frac{4}{5}$ .

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If the numerator of a fraction is increased by 100% and the denominator is increased by 150%, then the fraction becomes $\frac{16}{25}$ . What is the original fraction?

$\frac{5}{12}$

$\frac{4}{5}$

$\frac{7}{12}$

$\frac{5}6$

Correct option is B

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CBT-1 Full Mock Test 1

RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

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If the numerator of a fraction is increased by 100% and the denominator is increased by 150%, then the fraction becomes 1625\frac{16}{25}2516​​. What is the original fraction?

​512\frac{5}{12}125​​​

​45\frac{4}{5}54​​​

​712\frac{7}{12}127​​​

​56\frac{5}665​​​

Correct option is B

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If the numerator of a fraction is increased by 100% and the denominator is increased by 150%, then the fraction becomes $\frac{16}{25}$ . What is the original fraction?

$\frac{5}{12}$

$\frac{4}{5}$

$\frac{7}{12}$

$\frac{5}6$