5. Shirley buys a fax machine and sells it to Devi at a gain of 25% on the cost price. Devi then ses the fax machine to Amirah at a loss of 250 on the price at which she buys it from Shirley. If Amirah pays $360 for the fax machine. how much die Shirley pay for it​

Respuesta :

The amount Shirley paid for the Fax machine is $488.

How to find the amount Shirley paid for the machine?

Shirley buys a fax machine and sells it to Devi at a gain of 25% on the cost price.

let the cost Shirley bought the machine = x

Therefore,

selling price = 25% of x + x = 0.25x + x = 1.25x

Devi then sells the fax machine to Amirah at a loss of 250 on the price at which she buys it from Shirley.

Amirah pays $360 for the fax machine.

Therefore,

loss = cost price - selling price

250 = 1.25x - 360

Therefore,

250 + 360 = 1.25x

610 = 1.25x

x = 610 / 1.25

x = $488

Therefore, the amount Shirley paid for the Fax machine is $488.

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