pappueshwar wrote:During an auction, Jerome sold 75% of the first 1,000 items he offered for sale, and 30% of the remaining items offered for sale that day. If he sold 40% of the total number of items he ever offered for sale, how many items did Jerome offer for sale?
a) 750
B) 1050
C)1800
D)3500
E)4500
OA IS E. This is a very poorly worded question from grockit.com (i felt that way!!!)
Anyways request experts to assist.
Of the first 1000 items offered for sale, the number sold = .75(1000) = 750.
We can plug in the answers, which represent the total number of items offered for sale.
Since Jerome sold 40% of the total number of items offered for sale, and 40% of 1800 (answer choice C) is less than 750, eliminate A, B and C.
Answer choice D: 3500 items
Remaining items after the first 1000 = 2500.
30% of the remaining items sold = .3(2500) = 750.
Total percent sold = (750+750)/3500 = 150/350 = 3/7 ≠40%,
Eliminate D.
The correct answer is
E.
Note that we had to plug in only ONE answer choice -- a very efficient way to solve the problem.
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