Salesperson A's compensation for any week is ₹ 360 plus 6 percent of the portion of A's total sales above ₹ 1000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespersons earn the same compensation? (M.B.A., 2006)
Answer
Answer (as printed):
Explanation
Let the required weekly sales be ₹ $x$. Then, A's compensation $=₹[360+6\%$ of $(x-1000)]$, B's compensation $=8\%$ of ₹ $x$. $360+\frac{6}{100}(x-1000)=\frac{8}{100}x \Rightarrow 360+\frac{3}{50}x-60=\frac{2}{25}x \Rightarrow \frac{x}{50}=300 \Rightarrow x=15000$. Hence, required weekly sales $=₹15000$.
Explanation as extracted from the printed page; notation may be imperfect.