Joy Shaha wrote:Q. Jennifer can buy watches at a price of B dollars per watch, which she marks up by a certain percentage before selling. If she makes a total profit of T by selling N watches, then in terms of B and T and N, what is the percent of the markup from her buy price to her sell price?
(A) 100T/(NB)
(B) TB/(100N)
(C) 100TN/B
(D) ((T/N) - B)/(100B)
(E) 100(T - NB)/N
Let:
B = $50 per watch.
N = 2 watches.
T = $10 total profit.
Since 2 watches together earn a total profit of $10, the profit per watch = $5.
Thus:
(profit per watch)/(cost per watch) = 5/50 = 1/10 = 10%. This is our target.
Now plug B=50, N=2 and T=10 into the answers to see which yields our target of 10.
Only
A works:
100T/NB = (100*10)/(2*50) = 10.
The correct answer is
A.
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