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another approach is to use sum of 31 terms of AP series x, x+100 , x+ 200

which gives

12400 = \(\frac{31}{2}*(2x+ (31-1)*100)\)

which gives x = 2500

thus D
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D. 2500

First Day: x
Last Day: x+3000

Avg= (x+x+3000)/2=x+1500

Avg for the month=124000/31=4000

x+1500=4000 => x=2500



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