Discussion
A dress was initially listed at a price that would have given the store a profit of 20 percent of the wholesale cost. After reducing the asking price by 10 percent, the dress sold for a net profit of 10 dollars. What was the wholesale cost of the dress?
*This question is included in Nova Math - Problem Set X: Word Problems, question #2
| (A) | 200 |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 09/27/2013 18:57
I can't seem to get the answer I'm having basic algebra blank. how do you get 125 from C+10/.9=1.2c?
Posted: 09/27/2013 19:11
Hi Jennifer,
There must be parentheses around the C + 10:
(C + 10)/.9 = 1.2C
Multiplying both sides of this equation by .9 gives
C + 10 = 1.08C (since .9 x 1.2 = 10.8)
Subtracting C from both sides gives
10 = .08C (since 1.08C - 1C = (1.08 - 1)C = .08C)
Finally, dividing both sides by .08 gives
10/.08 = .08C/.08
or
125 = C
Nova Press
There must be parentheses around the C + 10:
(C + 10)/.9 = 1.2C
Multiplying both sides of this equation by .9 gives
C + 10 = 1.08C (since .9 x 1.2 = 10.8)
Subtracting C from both sides gives
10 = .08C (since 1.08C - 1C = (1.08 - 1)C = .08C)
Finally, dividing both sides by .08 gives
10/.08 = .08C/.08
or
125 = C
Nova Press