A store purchased 20 coats that each cost an equal amount and then sold each of the 20 coats at an equal price. What was the store's gross profit on the 20 coats?
(1) If the selling price per coat had been twice as much, the store's gross profit on the 20 coats would have been $2,400.
(2) If the selling price per coat had been $2 more, the store's gross profit on the 20 coats would have been $440.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
条件(1)、(2)所给出的selling price per coat其实都不是其真正的selling price,只是告诉你这个价格变成了XX后,gross profits会变成多少。所以就要求出真正的selling price 和cost per coat是多少。从而求得20*(S-C)
(1):如果S=2c,代入20*(S-C),得到该条件下的总利润=20*(2c-c)=2400,这里必须把S替换成2c,因为2400是在S=2c下才成立的利润,而非真正的s/c。
(2):如果S=s+2,代入20*(S-C),得到该条件下的总利润=20*(s+2-c)=440,这里能得出20(s-c)=400
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