Bunuel wrote:
Game wrote:
Can we please move this question out of "Geometry" section?
The question involves some geometry, so it's OK.
A company producing fruit juice changed its packaging from boxes measuring 5 x 10 x 20 centimeters to boxes measuring 6 x 10 x 20 centimeters. If the price of a box did not change and all boxes are full of juice, by approximately what percent did the price of the juice decrease?A. 12.00%
B. 16.67%
C. 18.33%
D. 20.00%
E. 21.50%
Say the price of the box is $x.
The original volume was 5*10*20=1,000 cubic centimeters, so the price per cubic centimeter was x/1,000;
The new volume is 6*10*20=1,200 cubic centimeters, so the price per cubic centimeter now is x/1,200;
Percent decrease is \(\frac{change}{original}*100=\frac{\frac{x}{1,000}-\frac{x}{1,200}}{\frac{x}{1,000}}*100=\frac{1}{6}*100\approx{16.67%}\).
Answer: B.
hello Bunuel,
I am sorry, but I am somewhat lost here - the percent change is calculated by measuring change divided by original value, so
200/1000 = 1/5 * 100 = 20%.
However, in your formula it seems that change was measured against new value, - 1200.
Can you please elaborate?