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
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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