A driver paid n dollars for auto insurance for the year 1997. This annual premium was raised by p percent for the year 1998; for each of the years 1999 and 2000, the premium was decreased by 1/6 from the previous year’s figure. If the driver’s insurance premium for the year 2000 was again n dollars, what is the value of p? Pick:
A) 12 B) 33 1/3 C) 36 D) 44 E) 50
Premium in 1997 = n;   Premium in 1998 = n(1+p/100);   Premium in 1999 = 5/6*n(1+p/100);   Premium in 2000 = 5/6*5/6*n(1+p/100).   Given that premium in 2000 = 5/6*5/6*n(1+p/100)=n --&gt; 5/6*5/6*(1+p/100)=1 --&gt; 1+p/100=36/25 --&gt; p/100=11/25=44/100 --&gt; p=44.   Answer: 44.
<result>D</result>
A driver paid n dollars for auto insurance for the year 1997. This annual premium was raised by p percent for the year 1998; for each of the years 1999 and 2000, the premium was decreased by 1/6 from the previous year’s figure. If the driver’s insurance premium for the year 2000 was again n dollars, what is the value of p?