SOLUTION: An article is sold at a discount of 10% and a profit of 20% is made. If the cost price of the article is $3600, find its marked price.

Question 1174189: An article is sold at a discount of 10% and a profit of 20% is made. If the cost price of the article is $3600, find its marked price.
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
cost price is $3600
profit is 20% of that or 0.2*$3600=$720 so price sold at is $4320
x is marked price and 0.9x is the marked price with the discount.
that equals $4320
so 0.9x=$4320
x=$4800.

Answer by ikleyn(52830) (Show Source): You can put this solution on YOUR website!
.
An article is sold at a discount of 10% and a profit of 20% is made.
If the cost price of the article is $3600, find its marked price.
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Let x be its marked price. From the condition, the article was sold ar the discounted price of 0.9x and the profit was 20% of the cost price. So, the profit was 0.2*3600 = 720 dololars. It gives this equation 0.9x - 3600 = 720 dollars. From the equation, x = = 4800 dollars. ANSWER. The marked price of the item was 4800 dollars. CHECK. The discounted price was 0.9*4800 = 4320 dollars; the profit is 4320 - 3600 = 720 dollars. ! correct !

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