The sum of two number is 3000. if 8% of one number is equal to 12% of the other , find the number.
Let the numbers be x,y
Given 8% of x is 12% of y
⟹8100x=12100y
⟹2x=3y⟹x=3y2
And also Sum of two numbers is 3000
⟹x+y=3000
⟹3y2+y=3000
⟹5y2=3000
⟹y=1200⟹x=3×12002=1800
The numbers are 1200,1800