Salesman`s commission

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Question

Salesman`s commission is 5% on all sales upto Rs.10,000 and 4% on all
sales exceeding this.He remits Rs.31,100 to his parent company after
deducing his commission . Find the total sales

Options:

A . Rs.31,500

B . Rs.30,500

C . Rs.35,500

D . Rs.32,500

Answer: Option D

Let his total sales be Rs.x.Now(Total sales)-(Commission )=Rs.31,100
x-[(5% of 10000 + 4% of (x-10000)]=31,100
x-[((5/100)*10000 + (4/100)*(x-10000)]=31,100
x-500-((x-10000)/25)=31,100
x-(x/25)=31200
24x/25=31200x
=[(31200*25)/24)=32,500.
Total sales=Rs.32,500

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