A Japanese rock band made ¥3 million on their first album with sales of ¥12 million, and made ¥5 million on their second album with sales of ¥30 million. By approximately what percent did the ratio of profit to sales decrease from the first album to second album?	Choose the most appropriate option
A) 24%
B) 27%
C) 30%
D) 33%
E) 36%
Solution:   This is a percent decrease problem. We will use the formula: percent change = (new – old)/old x 100 to calculate the final answer.   We first set up the ratios of profits to sales. The first ratio will be for the first album, and the second ratio will be for the next album. Because all of the sales are in millions, we do not have to express all the trailing zeros in our ratios.   First album   profit/sales = 3/12 = 1/4   Second album   profit/sales = 5/30 =1/6   We can simplify each ratio by multiplying each by the LCM of the two denominators, which is 12. Keep in mind that we are able to do this only because our answer choices are expressed in percents.   First album   profit/sales = (1/4) x 12 = 3   Next 2 Million   profit/sales = (1/6) x 12 = 2   We can plug 3 and 2 into our percent change formula:   (2 – 3)/3 x 100   =-1/3 x 100 so approximately a 33% decrease.   Answer 33%.
<result>D</result>
A Japanese rock band made ¥3 million on their first album with sales of ¥12 million, and made ¥5 million on their second album with sales of ¥30 million. By approximately what percent did the ratio of profit to sales decrease from the first album to second album?