Crocs12
A technology company purchased software licenses at a base price and paid additional costs. The base price was subject to a maintenance fee of m% of the base price. Then, a cloud storage fee of n% was applied to the sum of the base price and the maintenance fee. If the total amount paid was $21, 600, what was the amount of the cloud storage fee?
(1) m = 25
(2) n = 20
Base Price of the software license = $\(x\)
Base Price + Maintainence Fee = $\(x(1+\frac{m}{100})\)
Base Price + Maintainence Fee + Cloud Storage = $\(x(1+\frac{m}{100})(1+\frac{n}{100})\)
Question Asked: Cloud Storage Fee = ?
Cloud Storage Fee = $\((x(1+\frac{m}{100})\frac{* n}{100})\)
Given = $\(x(1+\frac{m}{100})(1+\frac{n}{100})\) = $21600
Statement 1(1) m = 25
$\(x(1+\frac{25}{100})(1+\frac{n}{100})\) = $21600
We will be left with an equation containing \(x\) and \(n\). As the value of \(x\) and \(n\) is not know, the statement alone is not sufficient.
Eliminate A, and D.
Statement 2(2) n = 20
$\(x(1+\frac{m}{100})(1+\frac{20}{100})\) = $21600
From the above statement, we can obtain the value of $\(x(1+\frac{m}{100})\) by moving the multiplication factor to the other side of the equation.
$\(x(1+\frac{m}{100})\) = $\((\frac{21600}{1.2})\)
Once we have this value, we can compute the cloud storage fee = $\((x(1+\frac{m}{100})\frac{* n}{100})\)
Since n = 20 is known, and the rest is now determinable, this statement alone is sufficient.
Option B