Seller weekend earnings

During the holidays, the seller earned € 21,060. He earned 40% more on Saturday than on Friday. He earned € 2,500 less on Sunday than on Saturday. How many euros did the seller make on Saturday?

Final Answer:

s =  8680 Eur

Step-by-step explanation:

$$\begin{gathered} k=100\%+40\%=1+\frac{40}{100}=1.4 \\ p+s+n=21060 \\ s=k\cdot p \\ n=s-2500 \\ p+s+n=21060 \\ p+k\cdot p+(s-2500)=21060 \\ p+k\cdot p+(p\cdot k-2500)=21060 \\ p+1.4\cdot p+(p\cdot 1.4-2500)=21060 \\ 3.8p=23560 \\ p=\frac{23560}{3.8}=6200 \\ p=6200 \\ s=k\cdot p=1.4\cdot 6200=8680\text{eur} \\ n=s-2500=8680-2500=6180\text{eur} \end{gathered}$$

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