SOLUTION: Shirley buys a fax machine and sells ut ti Devi at a gain of 25% on the cost price.devi then sells the fax machine to Amirah at a loss of 25% on the price which she buys it from sh

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Shirley buys a fax machine and sells ut ti Devi at a gain of 25% on the cost price.devi then sells the fax machine to Amirah at a loss of 25% on the price which she buys it from sh      Log On


   



Question 940116: Shirley buys a fax machine and sells ut ti Devi at a gain of 25% on the cost price.devi then sells the fax machine to Amirah at a loss of 25% on the price which she buys it from shirley.if amirah pays $360 for the fax machine,how much did shirley pay for it?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Shirley buys a fax machine and sells it to Devi at a gain of 25% on the cost price.
Shirley buy price:: x
Devi buy price:: 1.25x
-----
devi then sells the fax machine to Amirah at a loss of 25% on the price which she buys it from shirley.
Amirah buy price = 0.75*1.25x
------
if amirah pays $360 for the fax machine,how much did shirley pay for it?
-----
Equation:
0.75*1.25x = 360
----
(3/4)(5/4)x = 360
----
(15/16)x = 360
x = (16/15)360
Ans: x = $384.00 (Price Shirley paid)
=============
Cheers,
Stan H.
---------------
-----