Question

If x is 60% of y and y is 30% of z, x is what percent of z?

Answer 1

18%

Explanation:

• x is 60% of y

`x = y*(60)/(100) =y*0.6=0.6y\\x=0.6y`

• y is 30% of z

`y = z*(30)/(100) =z*0.3=0.3z\\y=0.3z`

x is what percent of z?

Since x = 0.6y and y = 0.3z:

`\%=(x)/(z) *100\\\\\%=(0.6y)/(z)*100\\ \\\%=(0.6(0.3z))/(z) *100\\\\\%=(0.18z)/(z) *100\\\\\%=0.18*100\\\\\%=18`