Question

In a village there are 100 cow and goat, goat and ox are 95. If the number of cow and ox is 85. So which of the group is 8 : 9 is proportion or ratio ?

• A. cow and goat
• B. ox and goat
• C. ox and cow
• D. cow and ox

Answer 1

The correct option is C ox and cow

Given,

$cow+goat=100$..(1)

$goat+ox=95$..(2)

$cow+ox=85$..(3)

(1)-(2) gives

$cow-ox=5$..(4)

(3)+(4) gives,

$2cow=90$

$\therefore cow=45$

from (3)

$ox=85-cow=85-45=40$

from (1)

$goat=100-cow=100-45=55$

$ox:cow$

$=40:45$

$=8:9$

$\therefore$ the group of Ox and Cow are in the ratio $8:9$