A fraction is such that if the double of the numerator and the triple of denominator is changed by +10% and -30% respectively then we get 11% of 16/21. Find the fraction.

\frac{4}{25}

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\frac{2}{25}

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\frac{3}{25}

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\frac{4}{21}

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None of these

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Solution

The correct option is B $\frac{2}{25}$
Let the fraction be =x/y
So, $\frac{2 x \times 1.1}{3 y \times 0.7} = \frac{2.2 x}{2.1 y} = \frac{11}{100} \times \frac{16}{21} = \frac{44}{525} \Rightarrow x = 20 and y = 250$
$\Rightarrow Required ratio, \frac{x}{y} = \frac{2}{25}$

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A fraction is such that if the double of the numerator and the triple of denominator is changed by +10% and -30% respectively then we get 11% of 16/21. Find the fraction.

The correct option is B 225Let the fraction be =x/y So, 2x×1.13y×0.7=2.2x2.1y=11100×1621=44525⇒x=20 and y=250 ⇒Required ratio,xy=225

The correct option is B $\frac{2}{25}$
Let the fraction be =x/y
So, $\frac{2 x \times 1.1}{3 y \times 0.7} = \frac{2.2 x}{2.1 y} = \frac{11}{100} \times \frac{16}{21} = \frac{44}{525} \Rightarrow x = 20 and y = 250$
$\Rightarrow Required ratio, \frac{x}{y} = \frac{2}{25}$