Bunuel
At a certain sales agency, each salesperson receives a monthly base salary of $2000, plus commission equal to 10% of her sales over $2500 for that month. How much did Allison earn in June?
(1) The amount that Allison earned in June was equal to 20% of her total sales for June.
(2) Had Allison sold $17500 more than she did in June, her total earnings would have equaled 15% of her sales.
Let sales in June be \(S\)
As per the question stem Income = 2000 + 10%*(S-2500) . Hence to calculate earning we need the value of \(S\)
Statement 1: Income = 20% of S
this implies 20% of S = 2000 + 10%*(S-2500) . this is a linear equation with only one unknown value \(S\), hence sufficient to find the value of S
Statement 2: Income = 15% of (S+ 17500)
this implies 15% of (S+ 17500) = 2000 + 10%*(S+17500-2500). a linear equation in \(S\). Hence the value of \(S\) can be found. Sufficient
Option \(D\)