Answered

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This week Lucas got a promotion at work that came with a 2 % pay increase. If now his monthly salary is $ 2601 , how much was he making before the raise?Enter your answer as a decimal. If needed, round to the nearest penny.

Sagot :

Data

• Promotion: 2%

,

• Monthly salary: $2601

Procedure

The original salary is 100% of the quantity, as the raise ($2601) is 102%. To solve this problem we have to build a relation between these quantities:

[tex]\frac{x}{100\%}=\frac{2601}{102\%}[/tex]

where x represents the quantity he was making before.

Multiplying both sides of the equation times 100%:

[tex]100\%\times\frac{x}{100\operatorname{\%}}=\frac{2,601}{102\operatorname{\%}}\times100\%[/tex][tex]x=\frac{2,601}{102\operatorname{\%}}\times100\%[/tex]

Simplifying:

[tex]x=\frac{260,100}{102\operatorname{\%}}[/tex][tex]x=\frac{260,100}{102\operatorname{\%}}=2550.0[/tex]

Answer: $2250.0

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