Question

the price s of a sweater is reduced by 25 percent for a sale. After the sale, the reduced price is increased by 20 percent. which of the following represents the final price of the sweater

Answer 1

ok, you start with s
now the price is being reduced by 25%
this can be shown by the equation
s-(.25)s=reduced price (rp)
s(1-.25)=rp
.75s =rp

now, the reduced priced is being increased by 20%
so we do the same thing as before, except we add the 20% instead of subtracting it

rp+.2(rp)= final price (fp)
rp(1+.2)=fp
rp(1.2)=fp

if you want to substitute for rp
then the equation is
(.75)(1.2)s= fp