Math, asked by aroraneha1940, 22 days ago

Greta currently works 45 hours per week and earns a weekly salary of $729. She will soon be starting a new job where her salary will be increased by 10% and her hours reduced by 10%.

Answers

Answered by amitnrw
0

Given :  Greta currently works 45 hours per week and earns a weekly salary of $729.

She will soon be starting a new job where her salary will be increased by 10% and her hours reduced by 10%.

To Find  : percentage increase  in hourly salary

Solution:

45 hours per week  and earns a weekly salary of $729.

=> Per hour salary  = 729/45    = 243/15   =  81 /5  $

salary will be increased by 10%

New weekly salary = 729 + (10/100)729  =   729  * 11 / 10  $

hours reduced by 10%.   =  45 - (10/100)45  =  45 * 9 /10  hrs

Per hour new salary   =  (  729  * 11 / 10  ) / ( 45 * 9 /10 )

= (729/ 45)  * (11 / 9)

= (81/ 5)  ( 11/9)  

increase in Per hour  salary    = (81/ 5)  ( 11/9)   -    81 /5

= (81/5) ( 2/9)

% increase =  ( 2/9) * 100  =  22.22 %

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