The ratio of milk and water in a mixture is `3 : 1`. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of milk and water in the mixture becomes `1 : 1`?

Options

A. `(1)/(4)`
B. `(1)/(3)`
C. `(3)/(4)`
D. `(3)/(4)`

Answer

A

Explanation

मात्रा
शराब `to (3)/(4)`
पानी `to (1)/(4)`
माना कि अभीष्ट मात्रा `=x` भाग प्रश्न से,
`((3)/(4) - x )/( (1)/(4) + x) = (1)/(1)`
`rArr (3)/(4) - x = (1)/(4) + x`
`rArr 2x = (3)/(4) - (1)/(4)`
`therefore x = (2)/( 4 xx 2) = (1)/(4)` भाग