Answer:
The price at which A bought the item is $1200.
Step-by-step explanation:
Suppose, the price at which A bought the item is [tex]x[/tex] dollar.
A sells the item to B at 15% profit. That means, the selling price to B [tex]= x+(0.15*x)=1.15x[/tex] dollar.
B sells the same item to C at 20% profit. That means, the selling price to C [tex]= 1.15x+(1.15x*0.20)=1.38x[/tex] dollar.
Given that, C pays $1656 for the item. So, the equation will be.......
[tex]1.38x=1656\\ \\ x=\frac{1656}{1.38}=1200[/tex]
So, the price at which A bought the item is $1200.