Mike@Magoosh wrote:A vendor sells only Product A, for $6, and Product B, for $21. If Q% of the products sold are Product B, and if T% of the total revenue comes from sales of Product B, find Q in terms of T.
I received a PM requesting that I comment.
Each A = $6, while each B = $21.
To make the math easier, let the total revenue yielded by each product = the LCM of the two prices = 42.
Since each A = $6, $42 will be yielded by product A if the number of A sold = 7.
Since each B = $21, $42 will be yielded by product B if the number of B sold = 2.
T% of the total revenue comes from sales of Product B.
Since product A and product B each yield the same amount of revenue -- $42 -- each product yields HALF the total revenue.
Thus, T = 50.
Q% of the products sold are Product B.
Since 2 of product B are sold, while 7 of product A are sold -- for a total of 9 units -- we get:
B/total * 100 = (2/9) * 100 = 200/9.
The question stem asks for the value of Q: 200/9.
This is our target.
Now plug T= 50 into the answers to see which yields our target of 200/9.
Only
D works:
(40T)/(140 - T) = (40*50)/(140-50) = 2000/90 = 200/9.
The correct answer is
D.
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