SOLUTION: The size of an art collection is tripled, and then 70 percent of the collection is sold. Acquisitions the increase the size of the collection by 10 percent. The size of the art col

Question 1189596: The size of an art collection is tripled, and then 70 percent of the collection is sold. Acquisitions the increase the size of the collection by 10 percent. The size of the art collection is then what percent of its size before these three changes?
A)240% B)210% C)111% D)99% E)21%
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The first change is given as a multiplication: the size is tripled.

The other two changes are given in terms of percent decreases and increases: the size is decreased by 70% and then increased by 10%.

The key to working a problem like this efficiently is to treat ALL percent changes, including percent increases and decreases, as multiplications.

A decrease of 70% is a multiplication by 100-70=30%, or 0.3; an increase of 10% is a multiplication by 100+10=110%, or 1.1.

Original amount: x
After tripling: 3(x) = 3x
After decrease of 70%: 0.3(3x) = 0.9x
After increase of 10%: 1.1(0.9x) = 0.99x

ANSWER: D

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