On the whole surface of earth the ratio of land and water is 1:2. The land and water in northern hemisphere is ratio 2 : 3. Then what is the ratio of land and water in southern hemisphere.

Options

A. `11:4`
B. `4:11`
C. `15:4`
D. `4:15`

Answer

B

Explanation

माना की दक्षिण गोलार्द्ध पर भूमि तथा पानी का अनुपात `= x : y` है,
`therefore ( 2)/( 2+ 3) + ( x )/( x + y ) = (2)/( 2 + 1)`
`rArr (2)/(5) + ( x )/( x + y) = (2)/(3)`
`rArr ( x) /( x + y) = ( 2)/(3) - (2)/(5)`
`rArr ( x)/( x + y) = ( 10 - 6)/( 15)`
`rArr ( x)/( x + y ) = (4)/( 15)`
`therefore x : y = 4 : ( 15-4) = 4 : 11`