SOLUTION: "By selling a shirt for Rs 135 ,a shopkeeper losses 10%. How much percent would he gain or loss by setting it for Rs 177? "

Question 556175: "By selling a shirt for Rs 135 ,a shopkeeper losses 10%. How much percent would he gain or loss by setting it for Rs 177? "
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
he sells it for 135 and loses 10%
let c = the cost.
let s = selling price.
let p = profit.
the formula for profit is:
p = s - c
the formula for profit margin is:
p% = (s-c)/c * 100%
if he sells the shirt at 135, then the profit margin equation becomes:
-10% = (135-c)/c*100%
divide both sides of the equation by 100% to get:
-.10 = (135-c)/c
multiply both sides of the equation by c to get:
-.10*c = 135 - c
add c to both sides of the equation to get:
c - .10*c = 135
combine like terms to get:
.9*c = 135
divide both sides of the equation by .9 to get:
c = 135/.9 = 150.
the shirt cost him 150.
he sold it for 135.
he took a loss of 15.
15/150 = 10% loss.
it all checks out.
now he sells the shirt for 177.
the cost is 150.
the profit is s - c = 177 - 150 = 27
the profit margin is p/c = 27/150 = .18 * 100% = 18%.
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