Bullzi wrote:A used cars salesman receives an annual bonus if he meets a certain quota. This year, the salesman has so far sold 1/5 of last year's quota. If this year's quota is reduced by 25 percent, the quantity that he still needs to sell this year in order to receive the annual bonus is what fraction of the preceding year's car quota?
A. 4/15
B. 4/20
C. 3/4
D. 11/20
E. 9/20
Let last year's quota = $100.
Amount sold so far this year = 1/5 of last year's quota = (1/5)(100) = $20.
Since this year's quote is 25% less than year's quota, this year's quota = 100 - (25% of 100) = 100-25 = $75.
Since this year's quota = $75, and the amount sold thus far this year = $20, the remaining amount to be sold this year = 75-20 = $55.
Resulting fraction:
(remaining amount to be sold)/(last year's quota) = 55/100 = 11/20.
The correct answer is
D.
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