hard problem solving algebra question (1 Viewer)

maths lover · Mar 26, 2011

i am so lost
a shopkeeper marks up the cost price by x% to determine the selling price. when the item doesn't sell, he decides to reduce the selling price by x%. his assistant remarks "its a pity that well be making a loss of 2.25% on that item". assuming the assistant is correct, find the value of x.

HyperComplexxx · Mar 26, 2011

let A be initial price
rising the price by x% =

$A + (\frac{Ax}{100})$

decreasing this price by x% =

$A + (\frac{Ax}{100}) - (A+(\frac{Ax}{100}))\frac{x}{100}$

now this is equal to 2.25% loss of original price

$A - (\frac{2.25A}{100}) = A + (\frac{Ax}{100}) - (A+(\frac{Ax}{100}))\frac{x}{100}$

factorising A out

$0.9775 = 1 + \frac{x}{100} - \frac {x}{100} - \frac{x^2}{1000}$

simplify

$x^2 = 225$

$x = 15$

hard problem solving algebra question (1 Viewer)

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