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If 25% of a number is subtracted from a second number then second number reduces to its five-sixths. What is the ratio between the first number and the second number?
- A2 : 3
- B3 : 2
- C1 : 3
- D1 : 4
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CCommunity
Let the first number be x and second number be y
If 25% of x is subtracted from y i.e. $(y - \frac{{25}}{{100}}x,)$ then y becomes $(\frac{5}{6}y)$
i.e. $(y - \frac{{25}}{{100}}x = \;\frac{5}{6}y)$
$(\Rightarrow y - \frac{5}{6}y = \frac{x}{4})$
$(\Rightarrow \frac{y}{6} = \frac{x}{4})$
$(\Rightarrow \frac{x}{y} = \frac{2}{3})$
If 25% of x is subtracted from y i.e. $(y - \frac{{25}}{{100}}x,)$ then y becomes $(\frac{5}{6}y)$
i.e. $(y - \frac{{25}}{{100}}x = \;\frac{5}{6}y)$
$(\Rightarrow y - \frac{5}{6}y = \frac{x}{4})$
$(\Rightarrow \frac{y}{6} = \frac{x}{4})$
$(\Rightarrow \frac{x}{y} = \frac{2}{3})$