Carol is given a 10% pay decrease. Her new wage is £306 per week. What would be her weekly wage if, instead, she had received a 10% pay increase?

Respuesta :

the answer would be 374.00

the original value before any increase or decrease is 340.00

so...

340.00 X 1.10 = 374.00

Answer:

New Wage after 10% increase =£374

Step-by-step explanation:

Let us assume  Carol's initial weekly wage be £ x

Now there is 10% decrease in weekly wage

10 %  of weekly wage = 10 % of x

                                    =  [tex]\frac{10x}{100} = 0.1x[/tex]

New wage after 10% decrease =  initial weekly wage - 10% of x

                                                   =  [tex]x- 0.1x = 0.9x[/tex]

It is given that new weekly wage is £ 306

so we equate £306 and 0.9x , so we have

[tex]0.9x=306[/tex]

[tex]x=\frac{306}{0.9}[/tex] ( divide both sides by 0.9)

[tex]x= 340[/tex]

So we got

Initial weekly wages = £ 340

Now Let us find weekly wage when there is 10% increase,

10% of initial weekly wage = [tex]10% of 340[/tex]

                                            =[tex]\frac{10}{100}[/tex]×[tex]340[/tex]

                                            = [tex] 34[/tex]

New Wage after 10% increase = [tex]340+34[/tex]

                                                  =£ 374