Salesperson A's compensation for any week is ₹ 360 plus 6 percent of the portion of A's total sales above ₹… · ABC26GN2120
Subject: General Aptitude · Chapter: Percentage · Exam: M.B.A. 2006
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
No answer key was printed for this question.
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.