1.

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?1). 2 : 32). 3 : 23). 1 : 34). 1 : 4

Answer»

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. $(y - \frac{{25}}{{100}}x = \;\frac{5}{6}y)$

$(\Rightarrow y - \frac{5}{6}y = \frac{x}{4})$

$(\Rightarrow \frac{y}{6} = \frac{x}{4})$

$(\Rightarrow \frac{x}{y} = \frac{2}{3})$


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