Pregunta
12 After a
pay rise Mr Jones’ salary was
What was his salary before the pay rise?
What was his salary before the pay rise?
Ask by Griffiths Love. in the United Kingdom
Jan 16,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Mr. Jones’ original salary before the 7.5% pay rise was £27,400.
Solución
To determine Mr. Jones’ original salary before the 7.5% pay rise, we can set up the problem using the following steps:
-
Understanding the Pay Rise:A 7.5% pay rise means that Mr. Jones’ new salary is 107.5% of his original salary.
-
Let
be the Original Salary: Given that the new salary is £29,455: -
Solving for
: -
Conclusion:Mr. Jones’ salary before the 7.5% pay rise was £27,400.
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Bonus Knowledge
To find Mr. Jones’ salary before the pay rise, you can set up the relationship where his post-pay rise salary (£29,455) is equal to his original salary plus 7.5% of that original salary. Thus, if we denote his original salary as
:
Combining like terms leads to:
Now, divide both sides by 1.075 to solve for
:
Calculating that gives:
So Mr. Jones’ salary before the pay rise was approximately £27,400.
Additionally, if you want to visualize these percentages better, think of
as
in decimal form. When calculating salary increases, always remember to convert percentages to their decimal equivalents for accurate calculations! This little trick can save you not only time but also prevent headache-inducing mistakes.
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