AHSME 1951 Problem 5

Mr. $A$ owns a home worth $$10,000$. He sells it to Mr.$B$at a$10%$profit based on the worth of the house. Mr.$B$sells the house back to Mr.$A$at a$10%$loss. Then:$\mathrm{(A) \ A\ comes\ out\ even } $$\mathrm{(B) \ A\ makes\ 1100\ on\ the\ deal}$$ \mathrm{(C) \ A\ makes\ 1000\ on\ the\ deal } $$\mathrm{(D) \ A\ loses\ 900\ on\ the\ deal }$$ \mathrm{(E) \ A\ loses\ 1000\ on\ the\ deal }$