SOLUTION: A computer is marked up 50 percent and then later marked down 30 percent. If the final price is $3,360 , the original price was: (A)$ 2,240 (B)$3,200 (C) $4,200 (D)$4,800

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: A computer is marked up 50 percent and then later marked down 30 percent. If the final price is $3,360 , the original price was: (A)$ 2,240 (B)$3,200 (C) $4,200 (D)$4,800       Log On


   



Question 208994: A computer is marked up 50 percent and then later marked down 30 percent. If the final price is $3,360 , the original price was:
(A)$ 2,240 (B)$3,200 (C) $4,200 (D)$4,800 (E)$5,600

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
A computer is marked up 50 percent and then later marked down 30 percent. If the final price is $3,360 , the original price was:
(A)$ 2,240 (B)$3,200 (C) $4,200 (D)$4,800 (E)$5,600

Its original price was x dollars.

When they marked it up 50%, they took 50% of x dollars, which 
was .50x dollars and added that on to the original x dollars 
and got this

x + .50x dollars

which is 1.00x + .50x dollars or 1.50x dollars.

When they marked 1.50x dollars down 30% they took 30% of 1.50x 
dollars, which was .30(1.50x) or .45x dollars, and subtracted 
that from 1.50x dollars,
and got 

1.50x - .45x  dollars

which is 1.05x dollars for the final price.  Since we are
told that was 3360 dollars, then 

1.05x+=+3360
x+=+3360%2F1.05
x+=+3200

So the correct answer is choice (B) $3,200 

Edwin